Articles de revues sur le sujet « Jump-like deformation »

In a cartoon, we often receive an animacy impression from a dynamic nonanimate object, such as a sponge or a flour sack, which does not have an animal-like shape. We hypothesize that the animacy impression of a nonanimal object could stem from dynamic patterns that are possibly fundamental for biological motion perception. Here we show that observers recognize the animacy of human jump actions from the combination of deformation and translation. We extracted vertical motion vectors from the uppermost and lowermost points in point-light jumper stimuli and assigned the vectors to a uniform rectangle. The participants’ task was to rate the animacy and jump impressions for the rectangle. Results showed that both animacy and jump impressions for the rectangle movements were comparable to those for the original point-light movements. The impressions decreased for stimuli having a deformation or translation component alone, which was extracted from the original motion vectors. By mathematically simulating deformation and translation in a human jump, we also found that the temporal relation between deformation and translation plays a critical role in the determination of jump impressions but only has a moderate effect for animacy impressions. On the basis of the results, we discuss how cartoon techniques take advantage of the properties of biological motion perception.

The parameters of the deformation of AMg6 alloy diagram under conditions of uniaxial tension were studied, taking into account the areas of material strengthening. The dependence of the change in magnitude of deformation occurring after jump-like increments in deformation caused by the destruction of dispersed phases in this alloy was revealed. A method of taking into account the revealed regularities in predicting the general deformation of AMg6 alloy based on the histogram of distribution of dispersed particles in the material is proposed.

Acute plastic deformation of long bones is more common in young children. We report a case of an acute plastic deformation of a pediatric radius via magnetic resonance imaging (MRI) evaluation. A 15-year-old boy fell on landing after a jump while practicing soccer, which injured his right forearm. He was diagnosed with a radial neck fracture and a medial epicondylar fracture of the humerus on the basis of plain radiograms. MRI was additionally performed and showed abnormal shadows indicating intramedullary bleeding at multiple bamboo-joint-like deformity sites of the radius. Surgery was performed and injury completely healed. Acute plastic deformation of long bones was often diagnosed by simple radiographic imaging. To our knowledge, there has been no previous reports of plastic deformation evaluated by MRI. If bone plastic deformation is missed, functional impairments such as limited range of motion remain; thus, an early diagnosis of acute bone plastic deformation by performing MRI is recommended.

Abstract Body-centered cubic metals like molybdenum and tungsten are interesting structural materials for high-temperature applications. These metals, are however, brittle at low homologous temperature, caused by the limited mobility of screw dislocations. In this study, the thermally activated deformation mechanisms in bcc Mo have been investigated using strain rate jump nanoindentation and compression tests as well as Charpy V-notch impact testing. The material shows a significant softening with increasing temperature and a maximum in strain rate sensitivity is found at the critical temperature, before decreasing again in the ductile regime. The activation volume, however, showed a distinct increase from about 5 b3 at the onset of the brittle to ductile transition temperature. Here we propose to use temperature-dependent nanoindentation strain rate jump testing and the activation volume as a complementary approach to provide some indication of the brittle to ductile transition temperature of bcc metals. Graphic Abstract

The strength properties of grains must be taken into account in the development and modernization of machinery and equipment for the implementation of many technological processes in agricultural production. Known devices and methods for determining the forces of destruction of grains under external influences are considered. A device has been developed for studying the process of deformation and destruction of grains under static compression, which makes it possible to establish the strength properties of various grain materials. The results of studies on the deformation and destruction of wheat grain under static compression are presented. It has been established that, regardless of the spatial orientation of the grain, the dependence of the deformation on the loading force has straight sections, indicating its uniform compaction. An abrupt increase in deformation occurs when the grain of wheat is oriented with the groove up and the load P = 10.37 kgf, after which there is no significant increase in deformation with an increase in P to 11.67 kgf. With further loading within P = 12.04 - 15.18 kgf, the grain deformation increases again with its compaction. At a load P = 15.55 kgf, an abrupt increase in deformation is again observed, after which the grain was destroyed. In the case of grain orientation with a groove down, a characteristic jump-like increase in its deformation occurred at a force of 17.31 kgf, which is 6.94 kgf more than in the opposite placement. After that, the dynamics of deformation increased significantly, and the destruction of the grain occurred at a force of 19.25 kgf, which is only 3.51 kgf higher than the similar value for the grain oriented with the groove up.

Pneumatic muscle actuators (PMAs) differ from general pneumatic systems as they have no inner moved parts and there is no sliding on the surfaces. During action they reach high velocities, while the power/weight and power/volume rations reach high levels. The main drawbacks of PMAs are limited contraction (relative displacement), nonlinear and time variable behaviour, existence of hysteresis and step-jump pressure (to start radial diaphragm deformation) and also antagonistic connection of PMAs to generate two-direction motion. These make PMAs difficult to modelling and control. In this paper a new stiffness model and the variable-stiffness spring-like characteristics are described and tested using two Fluidic Muscles made by Festo Company. The muscles have the same diameter, but different length.

Within the framework of the concept of deformable solid mechanics, an analytical-numerical method to the problem of determining the mechanical fields in the composite structures with interphase ribbon-like deformable multilayered inhomogeneities under combined force and dislocation loading has been proposed. Based on the general relations of linear elasticity theory, a mathematical model of thin multilayered inclusion of finite width is constructed. The possibility of nonperfect contact along a part of the interface between the inclusion and the matrix, and between the layers of inclusion where surface energy or sliding with dry friction occurs, is envisaged. Based on the application of the theory of functions of a complex variable and the jump function method, the stress-strain field in the vicinity of the inclusion during its interaction with the concentrated forces and screw dislocations was calculated. The values of generalized stress intensity factors for the asymptotics of stress-strain fields in the vicinity of the ends of thin inhomogeneities are calculated, using which the stress concentration and local strength of the structure can be calculated. Several effects have been identified which can be used in designing the structure of layers and operation modes of such composites. The proposed method has shown its effectiveness for solving a whole class of problems of deformation and fracture of bodies with thin deformable inclusions of finite length and can be used for mathematical modeling of the mechanical effects of thin FGM heterogeneities in composites.

This scientific paper consists of the analysis of the grasshopper jumping mechanism through literature studies, manufacturing, analysis and experimentation to enhance the knowledge to the manufacturing and analyzing of the artificially developed grasshopper-like robots. The first step involved the understanding of the actual grasshopper mechanisms which was carried out by the dissection of actual grasshopper bodies to analyze the hind leg movements, actuating muscles and structured sizes of the involved organs. The next step involved the development structural of the prototype consisted of design of the grasshopper jumping robot and the durability of the structure was checked at the critical locations. The results indicated that the strains produced in the tibia (immediately before and immediately after the jump) and femur of the designed structure was 2.5.10-5, 3.2.10-5 and 634.10-5 respectively. Whereas, the maximum allowable strain of the material during elastic deformation is 660.10-5, so the design of the structure could satisfy the strength requirements. The structural strength of the tibia and femur with the vertical printing were also in line with the stress requirements. Fabrication and jumping test was carried out which indicated 5 times higher jumps for the designed and fabricated grasshopper like jumping robot. This result is very helpful in robotic industry for the smooth movements of the robots for carrying out the intended function on rough terrains.

The evolution pattern of rock damage is a progressive failure process of rock materials. It is the basis for predicting failure time of rock materials. By theoretical and experimental analysis, the acoustic emission (AE) precursor characteristics of rock fracture and the gradual evolution pattern of rock damage were analyzed detailedly. Then, the time-to-failure of red sandstone was predicted and compared by several different methods. The results demonstrated that the failure process of red sandstone can be divided into the stable deformation stage and the critical acceleration failure stage. In the critical acceleration failure stage, the AE precursor of rock failure was easy to be observed, and the AE event rate occurred as jump-like increase phenomenon. Moreover, the gradual evolution pattern of rock damage obeyed an exponential function, and the damage acceleration phenomenon existed in the critical failure stage. Furthermore, the higher values of the average of rock damage was, the more obvious linear evolution pattern will be, which was beneficial to improve the prediction accuracy of time-to-failure of rocks. Clearly, the linear prediction results of rock failure time, after taking average values of five rock damage variables, had more higher accuracy when damage variable exceeded D = 0.5 . The predicting result of specimen R1 was 0.2 s ahead of its actual failure time, and the predicting result of specimen R6 was 8.1 s ahead of its actual failure time. Therefore, this method is meaningful and it can be used for the early warning of rockburst.

Cats are able to jump from a high-rise without any sign of injury, which is attributed in large part to their impact-resistant paw pads. The biomechanical study of paw pads may therefore contribute to improving the impact resistance of specific biomimetic materials. The present study is aimed at investigating the mechanics of the paw pads, revealing their impact-resistant biomechanism from macro- and microscopic perspectives. Histological and micro-CT scanning methods were exploited to analyze the microstructure of the pads, and mechanical testing was conducted to observe the macroscopic mechanical properties at different loading frequencies. Numerical micromodels of the ellipsoidal and cylindrical adipose compartments were developed to evaluate the mechanical functionality as compressive actions. The results show that the stiffness of the pad increases roughly in proportion to strain and mechanical properties are almost impervious to strain rate. Furthermore, the adipose compartment, which comprises adipose tissue enclosed within collagen septa, in the subcutaneous tissue presents an ellipsoid-like structure, with a decreasing area from the middle to the two ends. Additionally, the finite element results show that the ellipsoidal structure has larger displacement in the early stage of impact, which can absorb more energy and prevent instability at touchdown, while the cylindrical structure is more resistant to deformation. Moreover, the Von Mises of the ellipsoidal compartment decrease gradually from both ends to the middle, making it change to a cylindrical shape, and this may be the reason why the macroscopic stiffness increases with increasing time after contact. This preliminary investigation represents the basis for biomechanical interpretation and can accordingly provide new inspirations of shock-absorbing composite materials in engineering.

General theoretical relations for calculating the redistribution of the preliminary irreversible strain field during unloading or elastic loading of a medium are obtained for the nonlinear multiplicative gradient model of large elastic-plastic deformations. It is shown that the dynamics of elastic shock waves does not depend directly on the previously accumulated plastic strains. A formula for the plastic-strain rotation tensor is obtained. It is shown that rigid rotation of plastic strains under elastic shock waves can be jump-like. All results are obtained for the general case of model relations of isotropic media and are valid for both compressible and incompressible materials.

Oxides of tetravalent elements are well known to have a lot of crystalline modifications. For example, most of silica polymorphs are characterized by tetrahedral coordination environment of silicon atoms. On the contrary, crystals of stishovite and of some silicate minerals have their silicon atoms in octahedral coordination spheres. It has been found experimentally that the phase transitions between silica polymorphs accompanied by a rearrangement of silica-oxygen tetrahedrons into octahedra require an energy income (preference energy) of 54 kJ/mol. When increasing the atomic mass of the oxide forming element, the former decreases extremely and for tin dioxide is equal to -59 kJ/mol. These values can be reproduced in a theoretical way, within the frameworks of modern quantum chemical methods and periodic models. High disperse silica nanoparticles (as well as those for other oxides) have only the nearest order of atomic stationing, so that theoretical approaches developed for crystals cannot be applied to small particles. These particles can be transformed into stishovite form under hydrothermal conditions. Such a process can be simulated within cluster approximation by use of molecular models. This work is devoted to quantum chemical simulation of formation of the fragments with hexa-coordinated atoms of silicon and of its analogs in the structure of oxane dendrimers. A row of high symmetry models was examined containing two, three, five, and seventeen atoms of silicon and of germanium, titanium and tin, terminated with hydroxyl groups. These structures can be rearranged into another ones including oxide forming atoms with elevated (equal to 5 or 6) coordination number, so mimicking the rutile-like structure. Such models let it possible to fulfill the procedure of transformation without rupturing siloxane bonds, so remaining within a deformation approach. Another advantage is the exclusion of the basis set superposition error due to use of molecular models of the same total formula for all the coordination states. All calculations were carried out by Hartree-Fock and density functional theory methods with the all-electron (3-21G*) and valent (SBKJC) basis sets by means of the GAMESS program. Models of various size have been examined, in particular, disiloxane (HO)3Si-O-Si(OH)3 witch can be transformed into a self-coordinated form where one of silicon atoms becomes a five-coordinated; trisiloxane (HO)3Si-O-Si(OH)2-O-Si(OH)3 can be rearranged into symmetric isomer with one hexa-coordinated silicon atom. Pentasiloxane with neo-structure of [(HO)3Si-O]4Si forms three coordination structures, the most stable of them mimicking the stishovite crystal; it contains one 6-coordinated and two 5-coordinated silicon atoms. Siloxane containing 17 silicon atoms has a super-neo-structure of {[(HO)3Si-O]3Si-O}4Si; it includes seven six-coordinated and four five-coordinated silicon atoms. Relative models for silicon analogs have been also examined. When analyzing a dependence of the energy differences between open and coordinated oxane structures on the number of atoms of the oxide forming element in the cluster, one can jump to the conclusion that the specific value of this characteristic monotonously decreases with the increase in the number of atoms of the molecular model, so becoming close to the experimental data.

Adhesive contact of a rigid sphere with a layered medium consisting of a stiff elastic layer perfectly bonded to an elastic-plastic substrate is examined in the context of finite element simulations. Surface adhesion is modeled by nonlinear spring elements obeying a force-displacement relation governed by the Lennard–Jones potential. Adhesive contact is interpreted in terms of the layer thickness, effective Tabor parameter (a function of the layer thickness and Tabor parameters corresponding to layer and substrate material properties), maximum surface separation, layer-to-substrate elastic modulus ratio, and plasticity parameter (a characteristic adhesive stress expressed as the ratio of the work of adhesion to the surface equilibrium distance, divided by the yield strength of the substrate). It is shown that surface separation (detachment) during unloading is not encountered at the instant of maximum adhesion (pull-off) force, but as the layered medium is stretched by the rigid sphere, when abrupt surface separation (jump-out) occurs under a smaller force (surface separation force). Ductile- and brittle-like modes of surface detachment, characterized by the formation of a neck between the rigid sphere and the layered medium and a residual impression on the unloaded layered medium, respectively, are interpreted for a wide range of plasticity parameter and maximum surface separation. Numerical results illustrate the effects of layer thickness, bulk and surface material properties, and maximum surface separation (interaction distance) on the pull-off and surface separation forces, jump-in and jump-out contact instabilities, and evolution of substrate plasticity during loading and unloading. Simulations of cyclic adhesive contact demonstrate that incremental plasticity (ratcheting) in the substrate is the most likely steady-state deformation mechanism under repetitive adhesive contact conditions.

AbstractDeep-focus earthquakes that occur at 350–660 km are assumed to be caused by olivine → spinel phase transformation (PT). However, there are many existing puzzles: (a) What are the mechanisms for jump from geological 10−17 − 10−15 s−1 to seismic 10 − 103 s−1 strain rates? Is it possible without PT? (b) How does metastable olivine, which does not completely transform to spinel for over a million years, suddenly transform during seconds? (c) How to connect shear-dominated seismic signals with volume-change-dominated PT strain? Here, we introduce a combination of several novel concepts that resolve the above puzzles quantitatively. We treat the transformation in olivine like plastic strain-induced (instead of pressure/stress-induced) and find an analytical 3D solution for coupled deformation-transformation-heating in a shear band. This solution predicts conditions for severe (singular) transformation-induced plasticity (TRIP) and self-blown-up deformation-transformation-heating process due to positive thermomechanochemical feedback between TRIP and strain-induced transformation. This process leads to temperature in a band, above which the self-blown-up shear-heating process in the shear band occurs after finishing the PT. Our findings change the main concepts in studying the initiation of the deep-focus earthquakes and PTs during plastic flow in geophysics in general.

This paper will compare the metaphoric structuring of the ecological concept of resilience—with its roots in Holling's 1973 paper; with psychological concepts of resilience which followed from research—such as Werner, Bierman, and French and Garmezy and Streitman) published in the early 1970s. This metaphoric analysis will expose the difference between complex adaptive systems models of resilience in ecology and studies related to resilience in relation to climate change; compared with the individualism of linear equilibrium models of resilience which have dominated discussions of resilience in psychology and economics. By examining the ontological commitments of these competing metaphors, I will show that the individualistic concept of resilience which dominates psychological discussions of resilience is incompatible with the ontological commitments of ecological concepts of resilience. Because the ontological commitments of the concepts of ecological resilience on the one hand, and psychological resilience on the other, are so at odds with one another, it is important to be clear which concept of resilience is being evaluated for its adequacy as a concept. Having clearly distinguished these competing metaphors and their ontological commitments, this paper will show that it is the complex adaptive systems model of resilience from ecology, not the individualist concept of psychological resilience, that has been utilised by both the academic discussions of adaptation to climate change, and the operationalisation of the concept of resilience by social movements like the permaculture, ecovillage, and Transition Towns movements. Ontological Metaphors My analysis of ontological metaphors draws on insights from Kuhn's (114) account of gestalt perception in scientific paradigm shifts; the centrality of the role of concrete analogies in scientific reasoning (Masterman 77); and the theorisation of ontological metaphors in cognitive linguistics (Gärdenfors). Figure 1: Object Ontological commitments reflect the shared beliefs within a community about the sorts of things that exist. Our beliefs about what exists are shaped by our sensory and motor interactions with objects in the physical world. Physical objects have boundaries and surfaces that separate the object from not-the-object. Objects have insides and outsides, and can be described in terms of more-or-less fixed and stable “objective” properties. A prototypical example of an “object” is a “container”, like the example shown in Figure 1. Ontological metaphors allow us to conceive of “things” which are not objects as if they were objects by picking “out parts of our experience and treat them as [if they were] discrete entities or substances of a uniform kind” (Lakoff and Johnson 25). We use ontological metaphors when we imagine a boundary around a collection of things, such as the members of a team or trees in a forest, and conceive of them as being in a container (Langacker 191–97). We can then think of “things” like a team or forest as if they were a single entity. We can also understand processes and activities as if they were things with boundaries. Whether or not we characterise some aspect of our experience as a noun (a bounded entity) or as a verb (a process that occurs over time) is not determined by the nature of things in themselves, but by our understanding and interpretation of our experience (Langacker 233). In this paper I employ a technique that involves examining the details of “concrete images” from the source domains for metaphors employed in the social sciences to expose for analysis their ontological commitments (Harrison, “Politics” 215; Harrison, “Economics” 7). By examining the ontological metaphors that structure the resilience literature I will show how different conceptions of resilience reflect different beliefs and commitments about the sorts of “things” there are in the world, and hence how we can study and understand these “things.” Engineering Metaphors In his discussion of engineering resilience, Holling (“Engineering Vs. Ecological” 33) argues that this conception is the “foundation for economic theory”, and defined in terms of “resistance to disturbance and the speed of return to the equilibrium” or steady state of the system. Whereas Holling takes his original example of the use of the engineering concept of resilience from economics, Pendall, Foster, & Cowell (72), and Martin-Breen and Anderies (6) identify it as the concept of resilience that dominates the field of psychology. They take the stress loading of bridges to be the engineering source for the metaphor. Figure 2: Pogo stick animation (Source: Blacklemon 67, CC http://en.wikipedia.org/wiki/File:Pogoanim.gif). In order to understand this metaphor, we need to examine the characteristics of the source domain for the metaphor. A bridge can be “under tension, compression or both forces at the same time [and] experiences what engineers define as stress” (Matthews 3). In order to resist these forces, bridges need to be constructed of material which “behave much like a spring” that “strains elastically (deforms temporarily and returns to its original shape after a load has been removed) under a given stress” (Gordon 52; cited in Matthews). The pogostick shown in Figure 2 illustrates how a spring returns to its original size and configuration once the load or stress is removed. WGBH Educational Foundation provides links to simple diagrams that illustrate the different stresses the three main designs of bridges are subject to, and if you compare Computers & Engineering's with Gibbs and Bourne's harmonic spring animation you can see how both a bridge under live load and the pogostick in Figure 2 oscillate just like an harmonic spring. Subject to the elastic limits of the material, the deformation of a spring is proportional to the stress or load applied. According to the “modern theory of elasticity [...] it [is] possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of” (“Hooke’s Law”). When psychological resilience is characterised in terms of “properties of individuals [that] are identified in isolation” (Martin-Breen and Anderies 12); and in terms of “behaviours and attributes [of individuals] that allow people to get along with one another and to succeed socially” (Pendall, Foster, and Cowell 72), they are reflecting this engineering focus on the properties of materials. Martin-Breen and Anderies (42) argue that “the Engineering Resilience framework” has been informed by ontological metaphors which treat “an ecosystem, person, city, government, bridge, [or] society” as if it were an object—“a unified whole”. Because this concept of resilience treats individuals as “objects,” it leads researchers to look for the properties or characteristics of the “materials” which individuals are “made of”, which are either elastic and allow them to “bounce” or “spring” back after stress; or are fragile and brittle and break under load. Similarly, the Designers Institute (DINZ), in its conference on “Our brittle society,” shows it is following the engineering resilience approach when it conceives of a city or society as an object which is made of materials which are either “strong and flexible” or “brittle and fragile”. While Holling characterises economic theory in terms of this engineering metaphor, it is in fact chemistry and the kinetic theory of gases that provides the source domain for the ontological metaphor which structures both static and dynamic equilibrium models within neo-classical economics (Smith and Foley; Mirowski). However, while springs are usually made out of metals, they can be made out of any “material [that] has the required combination of rigidity and elasticity,” such as plastic, and even wood (in a bow) (“Spring (device)”). Gas under pressure turns out to behave the same as other springs or elastic materials do under load. Because both the economic metaphor based on equilibrium theory of gases and the engineering analysis of bridges under load can both be subsumed under spring theory, we can treat both the economic (gas) metaphor and the engineering (bridge) metaphor as minor variations of a single overarching (spring) metaphor. Complex Systems Metaphors Holling (“Resilience & Stability” 13–15) critiques equilibrium models, arguing that non-deterministic, complex, non-equilibrium and multi-equilibrium ecological systems do not satisfy the conditions for application of equilibrium models. Holling argues that unlike the single equilibrium modelled by engineering resilience, complex adaptive systems (CAS) may have multi or no equilibrium states, and be non-linear and non-deterministic. Walker and Salt follow Holling by calling for recognition of the “dynamic complexity of the real world” (8), and that “these [real world] systems are complex adaptive systems” (11). Martin-Breen and Anderies (7) identify the key difference between “systems” and “complex adaptive systems” resilience as adaptive capacity, which like Walker and Salt (xiii), they define as the capacity to maintain function, even if system structures change or fail. The “engineering” concept of resilience focuses on the (elastic) properties of materials and uses language associated with elastic springs. This “spring” metaphor emphasises the property of individual components. In contrast, ecological concepts of resilience examine interactions between elements, and the state of the system in a multi-dimensional phase space. This systems approach shows that the complex behaviour of a system depends at least as much on the relationships between elements. These relationships can lead to “emergent” properties which cannot be reduced to the properties of the parts of the system. To explain these relationships and connections, ecologists and climate scientists use language and images associated with landscapes such as 2-D cross-sections and 3-D topology (Holling, “Resilience & Stability” 20; Pendall, Foster, and Cowell 74). Figure 3 is based on an image used by Walker, Holling, Carpenter and Kinzig (fig. 1b) to represent possible states of ecological systems. The “basins” in the image rely on our understanding of gravitational forces operating in a 3-D space to model “equilibrium” states in which the system, like the “ball” in the “basin”, will tend to settle. Figure 3: (based on Langston; in Walker et al. fig. 1b) – Tipping Point Bifurcation Wasdell (“Feedback” fig. 4) adapted this image to represent possible climate states and explain the concept of “tipping points” in complex systems. I have added the red balls (a, b, and c to replace the one black ball (b) in the original which represented the state of the system), the red lines which indicate the path of the ball/system, and the black x-y axis, in order to discuss the image. Wasdell (“Feedback Dynamics” slide 22) takes the left basin to represents “the variable, near-equilibrium, but contained dynamics of the [current] glacial/interglacial period”. As a result of rising GHG levels, the climate system absorbs more energy (mostly as heat). This energy can force the system into a different, hotter, state, less amenable to life as we know it. This is shown in Figure 3 by the system (represented as the red ball a) rising up the left basin (point b). From the perspective of the gravitational representation in Figure 3, the extra energy in the basin operates like the rotation in a Gravitron amusement ride, where centrifugal force pushes riders up the sides of the ride. If there is enough energy added to the climate system it could rise up and jump over the ridge/tipping point separating the current climate state into the “hot earth” basin shown on the right. Once the system falls into the right basin, it may be stuck near point c, and due to reinforcing feedbacks have difficulty escaping this new “equilibrium” state. Figure 4 represents a 2-D cross-section of the 3-D landscape shown in Figure 3. This cross-section shows how rising temperature and greenhouse gas (GHG) concentrations in a multi-equilibrium climate topology can lead to the climate crossing a tipping point and shifting from state a to state c. Figure 4: Topographic cross-section of possible climate states (derived from Wasdell, “Feedback” 26 CC). As Holling (“Resilience & Stability”) warns, a less “desirable” state, such as population collapse or extinction, may be more “resilient”, in the engineering sense, than a more desirable state. Wasdell (“Feedback Dynamics” slide 22) warns that the climate forcing as a result of human induced GHG emissions is in fact pushing the system “far away from equilibrium, passed the tipping point, and into the hot-earth scenario”. In previous episodes of extreme radiative forcing in the past, this “disturbance has then been amplified by powerful feedback dynamics not active in the near-equilibrium state [… and] have typically resulted in the loss of about 90% of life on earth.” An essential element of system dynamics is the existence of (delayed) reinforcing and balancing causal feedback loops, such as the ones illustrated in Figure 5. Figure 5: Pre/Predator model (Bellinger CC-BY-SA) In the case of Figure 5, the feedback loops illustrate the relationship between rabbit population increasing, then foxes feeding on the rabbits, keeping the rabbit population within the carrying capacity of the ecosystem. Fox predation prevents rabbit over-population and consequent starvation of rabbits. The reciprocal interaction of the elements of a system leads to unpredictable nonlinearity in “even seemingly simple systems” (“System Dynamics”). The climate system is subject to both positive and negative feedback loops. If the area of ice cover increases, more heat is reflected back into space, creating a positive feedback loop, reinforcing cooling. Whereas, as the arctic ice melts, as it is doing at present (Barber), heat previously reflected back into space is absorbed by now exposed water, increasing the rate of warming. Where negative feedback (system damping) dominates, the cup-shaped equilibrium is stable and system behaviour returns to base when subject to disturbance. [...]The impact of extreme events, however, indicates limits to the stable equilibrium. At one point cooling feedback loops overwhelmed the homeostasis, precipitating the "snowball earth" effect. […] Massive release of CO2 as a result of major volcanic activity […] set off positive feedback loops, precipitating runaway global warming and eliminating most life forms at the end of the Permian period. (Wasdell, “Topological”) Martin-Breen and Anderies (53–54), following Walker and Salt, identify four key factors for systems (ecological) resilience in nonlinear, non-deterministic (complex adaptive) systems: regulatory (balancing) feedback mechanisms, where increase in one element is kept in check by another element; modularity, where failure in one part of the system will not cascade into total systems failure; functional redundancy, where more than one element performs every essential function; and, self-organising capacity, rather than central control ensures the system continues without the need for “leadership”. Transition Towns as a Resilience Movement The Transition Town (TT) movement draws on systems modelling of both climate change and of Limits to Growth (Meadows et al.). TT takes seriously Limits to Growth modelling that showed that without constraints in population and consumption the world faces systems collapse by the middle of this century. It recommends community action to build as much capacity as possible to “maintain existence of function”—Holling's (“Engineering vs. Ecological” 33) definition of ecological resilience—in the face of failing economic, political and environmental systems. The Transition Network provides a template for communities to follow to “rebuild resilience and reduce CO2 emissions”. Rob Hopkins, the movements founder, explicitly identifies ecological resilience as its central concept (Transition Handbook 6). The idea for the movement grew out of a project by (2nd year students) completed for Hopkins at the Kinsale Further Education College. According to Hopkins (“Kinsale”), this project was inspired by Holmgren’s Permaculture principles and Heinberg's book on adapting to life after peak oil. Permaculture (permanent agriculture) is a design system for creating agricultural systems modelled on the diversity, stability, and resilience of natural ecosystems (Mollison ix; Holmgren xix). Permaculture draws its scientific foundations from systems ecology (Holmgren xxv). Following CAS theory, Mollison (33) defines stability as “self-regulation”, rather than “climax” or a single equilibrium state, and recommends “diversity of beneficial functional connections” (32) rather than diversity of isolated elements. Permaculture understands resilience in the ecological, rather than the engineering sense. The Transition Handbook (17) “explores the issues of peak oil and climate change, and how when looked at together, we need to be focusing on the rebuilding of resilience as well as cutting carbon emissions. It argues that the focus of our lives will become increasingly local and small scale as we come to terms with the real implications of the energy crisis we are heading into.” The Transition Towns movement incorporate each of the four systems resilience factors, listed at the end of the previous section, into its template for building resilient communities (Hopkins, Transition Handbook 55–6). Many of its recommendations build “modularity” and “self-organising”, such as encouraging communities to build “local food systems, [and] local investment models”. Hopkins argues that in a “more localised system” feedback loops are tighter, and the “results of our actions are more obvious”. TT training exercises include awareness raising for sensitivity to networks of (actual or potential) ecological, social and economic relationships (Hopkins, Transition Handbook 60–1). TT promotes diversity of local production and economic activities in order to increase “diversity of functions” and “diversity of responses to challenges.” Heinberg (8) wrote the forward to the 2008 edition of the Transition Handbook, after speaking at a TotnesTransition Town meeting. Heinberg is now a senior fellow at the Post Carbon Institute (PCI), which was established in 2003 to “provide […] the resources needed to understand and respond to the interrelated economic, energy, environmental, and equity crises that define the 21st century [… in] a world of resilient communities and re-localized economies that thrive within ecological bounds” (PCI, “About”), of the sort envisioned by the Limits to Growth model discussed in the previous section. Given the overlapping goals of PCI and Transition Towns, it is not surprising that Rob Hopkins is now a Fellow of PCI and regular contributor to Resilience, and there are close ties between the two organisations. Resilience, which until 2012 was published as the Energy Bulletin, is run by the Post Carbon Institute (PCI). Like Transition Towns, Resilience aims to build “community resilience in a world of multiple emerging challenges: the decline of cheap energy, the depletion of critical resources like water, complex environmental crises like climate change and biodiversity loss, and the social and economic issues which are linked to these. […] It has [its] roots in systems theory” (PCI, “About Resilience”). Resilience.org says it follows the interpretation of Resilience Alliance (RA) Program Director Brian Walker and science writer David Salt's (xiii) ecological definition of resilience as “the capacity of a system to absorb disturbance and still retain its basic function and structure.“ Conclusion This paper has analysed the ontological metaphors structuring competing conceptions of resilience. The engineering resilience metaphor dominates in psychological resilience research, but is not adequate for understanding resilience in complex adaptive systems. Ecological resilience, on the other hand, dominates in environmental and climate change research, and is the model of resilience that has been incorporated into the global permaculture and Transition Towns movements. References 2nd year students. Kinsale 2021: An Energy Descent Action Plan. Kinsale, Cork, Ireland: Kinsale Further Education College, 2005. 16 Aug. 2013 ‹http://transitionculture.org/wp-content/uploads/KinsaleEnergyDescentActionPlan.pdf>. Barber, Elizabeth. “Arctic Ice Continues to Thin, and Thin, European Satellite Reveals.” Christian Science Monitor 11 Sep. 2013. 25 Sep. 2013 ‹http://www.csmonitor.com/Environment/2013/0911/Arctic-ice-continues-to-thin-and-thin-European-satellite-reveals>. 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In PilsenTwenty-six Station Road,She climbed to the third floorUp stairs which were all that was leftOf the whole house,She opened her doorFull on to the sky,Stood gaping over the edge.For this was the placeThe world ended.Thenshe locked up carefullylest someone stealSiriusor Aldebaranfrom her kitchen,went back downstairsand settled herselfto waitfor the house to rise againand for her husband to rise from the ashesand for her children’s hands and feet to be stuck back in placeIn the morning they found herstill as stone, sparrows pecking her hands.Five Minutes after the Air Raidby Miroslav Holub(Calder 287) Holding Still Detonation. Affect. During the Second World War, London and other European cities were subjected to the terrors of aerial bombardment, rendered through nightmarish anticipations of the bomber (Gollin 7) and the material storm of the real air-raid. The fall of bombs plagued cities and their citizens with the terrible rain of explosives and incendiary weapons. A volatile landscape was formed as the urban environment was ‘unmade’ and urged into violent motion. Flying projectiles of shrapnel, debris and people; avalanches of collapsing factories and houses; the inhale and exhale of compressed air and firestorms; the scream of the explosion. All these composed an incredibly fluid urban traumatic, as atmospheres fell over the cities that was thick with smoke, dust, and ventilated only by terror (see for instance Sebald 10 and Mendieta’s 3 recent commentary). Vast craters were imprinted onto the charred morphologies of London and Berlin as well as Coventry, Hamburg and Dresden. Just as the punctuations of the bombing saw the psychic as well as the material give way, writers portraying Britain as an ‘volcano island’ (Spaight 5) witnessed eruptive projections – the volleys of the material air-war; the emotional signature of charged and bitter reprisals; pain, anguish and vengeance - counter-strikes of affect. In the midst of all of this molten violence and emotion it seems impossible that a simultaneous sense of quiescence could be at all possible. More than mere physical fixity or geographical stasis, a rather different sort of experience could take place. Preceding, during and following the excessive mobilisation of an air raid, ‘stillness’ was often used to describe certain plateuing stretches of time-space which were slowed and even stopped (Anderson 740). Between the eruptions appeared hollows of calm and even boredom. People’s nervous flinching under the reverberation of high-explosive blasts formed part of what Jordan Crandall might call a ‘bodily-inclination’ position. Slackened and taut feelings condensed around people listening out for the oncoming bomber. People found that they prepared for the dreadful wail of the siren, or relaxed in the aftermath of the attack. In these instances, states of tension and apprehension as well as calm and relief formed though stillness. The peculiar experiences of ‘stillness’ articulated in these events open out, I suggest, distinctive ways-of-being which undo our assumptions of perpetually fluid subjectivities and the primacy of the ‘body in motion’ even within the context of unparalleled movement and uncertainty (see Harrison 423 and also Rose and Wylie 477 for theoretical critique). The sorts of “musics of stillness and silence able to be discovered in a world of movement” (Thrift, Still 50), add to our understandings of the material geographies of war and terror (see for instance Graham 63; Gregory and Pred 3), whilst they gesture towards complex material-affective experiences of bodies and spaces. Stillness in this sense, denotes apprehending and anticipating spaces and events in ways that sees the body enveloped within the movement of the environment around it; bobbing along intensities that course their way through it; positioned towards pasts and futures that make themselves felt, and becoming capable of intense forms of experience and thought. These examples illustrate not a shutting down of the body to an inwardly focused position – albeit composed by complex relations and connections – but bodies finely attuned to their exteriors (see Bissell, Animating 277 and Conradson 33). In this paper I draw from a range of oral and written testimony archived at the Imperial War Museum and the Mass Observation wartime regular reports. Edited publications from these collections were also consulted. Detailing the experience of aerial bombing during the Blitz, particularly on London between September 1940 to May 1941, forms part of a wider project concerning the calculative and affective dimensions of the aeroplane’s relationship with the human body, especially through the spaces it has worked to construct (infrastructures such as airports) and destroy. While appearing extraordinary, the examples I use are actually fairly typical of the patternings of experience and the depth and clarity with which they are told. They could be taken to be representative of the population as a whole or coincidentally similar testimonials. Either way, they are couched within a specific cultural historical context of urgency, threat and unparalleled violence.Anticipations The complex material geographies of an air raid reveal the ecological interdependencies of populations and their often urban environments and metabolisms (Coward 419; Davis 3; Graham 63; Gregory The Colonial 19; Hewitt Place 257). Aerial warfare was an address of populations conceived at the register of their bio-rhythmical and metabolic relationship to their milieu (Adey). The Blitz and the subsequent Allied bombing campaign constituted Churchill’s ‘great experiment’ for governments attempting to assess the damage an air raid could inflict upon a population’s nerves and morale (Brittain 77; Gregory In Another 88). An anxious and uncertain landscape constructed before the war, perpetuated by public officials, commentators and members of parliament, saw background affects (Ngai 5) of urgency creating an atmosphere that pressurised and squeezed the population to prepare for the ‘gathering storm’. Attacks upon the atmosphere itself had been readily predicted in the form of threatening gas attacks ready to poison the medium upon which human and animal life depended (Haldane 111; Sloterdijk 41-57). One of the most talked of moments of the Blitz is not necessarily the action but the times of stillness that preceded it. Before and in-between an air raid stillness appears to describe a state rendered somewhere between the lulls and silences of the action and the warnings and the anticipatory feelings of what might happen. In the awaiting bodies, the materialites of silence could be felt as a kind-of-sound and as an atmospheric sense of imminence. At the onset of the first air-raids sound became a signifier of what was on the way (MO 408). Waiting – as both practice and sensation – imparted considerable inertia that went back and forth through time (Jeffrey 956; Massumi, Parables 3). For Geographer Kenneth Hewitt, sound “told of the coming raiders, the nearness of bombs, the plight of loved ones” (When the 16). The enormous social survey of Mass Observation concluded that “fear seems to be linked above all with noise” (original emphasis). As one report found, “It is the siren or the whistle or the explosion or the drone – these are the things that terrify. Fear seems to come to us most of all through our sense of hearing” (MO 378). Yet the power of the siren came not only from its capacity to propagate sound and to alert, but the warning held in its voice of ‘keeping silent’. “Prefacing in a dire prolepsis the post-apocalyptic event before the event”, as Bishop and Phillips (97) put it, the stillness of silence was incredibly virtual in its affects, disclosing - in its lack of life – the lives that would be later taken. Devastation was expected and rehearsed by civilians. Stillness formed a space and body ready to spring into movement – an ‘imminent mobility’ as John Armitage (204) has described it. Perched on the edge of devastation, space-times were felt through a sense of impending doom. Fatalistic yet composed expectations of a bomb heading straight down pervaded the thoughts and feelings of shelter dwellers (MO 253; MO 217). Waves of sound disrupted fragile tempers as they passed through the waiting bodies in the physical language of tensed muscles and gritted teeth (Gaskin 36). Silence helped form bodies inclined-to-attention, particularly sensitive to aural disturbances and vibrations from all around. Walls, floors and objects carried an urban bass-line of warning (Goodman). Stillness was forged through a body readied in advance of the violence these materialities signified. A calm and composed body was not necessarily an immobile body. Civilians who had prepared for the attacks were ready to snap into action - to dutifully wear their gas-mask or escape to shelter. ‘Backgrounds of expectation’ (Thrift, Still 36) were forged through non-too-subtle procedural and sequential movements which opened-out new modes of thinking and feeling. Folding one’s clothes and placing them on the dresser in-readiness; pillows and sheets prepared for a spell in the shelter, these were some of many orderly examples (IWM 14595). In the event of a gas attack air raid precautions instructions advised how to put on a gas mask (ARPD 90-92),i) Hold the breath. ii) Remove headgear and place between the knees. iii) Lift the flap of the haversack [ …] iv) Bring the face-piece towards the face’[…](v) Breathe out and continue to breathe in a normal manner The rational technologies of drill, dressage and operational research enabled poise in the face of an eventual air-raid. Through this ‘logistical-life’ (Reid 17), thought was directed towards simple tasks by minutely described instructions. Stilled LifeThe end of stillness was usually marked by a reactionary ‘flinch’, ‘start’ or ‘jump’. Such reactionary ‘urgent analogs’ (Ngai 94; Tomkins 96) often occurred as a response to sounds and movements that merely broke the tension rather than accurately mimicking an air raid. These atmospheres were brittle and easily disrupted. Cars back-firing and changing gear were often complained about (MO 371), just as bringing people out of the quiescence of sleep was a common effect of air-raids (Kraftl and Horton 509). Disorientation was usually fostered in this process while people found it very difficult to carry out the most simple of tasks. Putting one’s clothes on or even making their way out of the bedroom door became enormously problematic. Sirens awoke a ‘conditioned reflex’ to take cover (MO 364). Long periods of sleep deprivation brought on considerable fatigue and anxiety. ‘Sleep we Must’ wrote journalist Ritchie Calder (252) noticing the invigorating powers of sleep for both urban morale and the bare existence of survival. For other more traumatized members of the population, psychological studies found that the sustained concentration of shelling caused what was named ‘apathy-retreat’ (Harrisson, Living 65). This extreme form of acquiescence saw especially susceptible and vulnerable civilians suffer an overwhelming urge to sleep and to be cared-for ‘as if chronically ill’ (Janis 90). A class and racial politics of quiescent affect was enacted as several members of the population were believed far more liable to ‘give way’ to defeat and dangerous emotions (Brittain 77; Committee of Imperial Defence).In other cases it was only once an air-raid had started that sleep could be found (MO 253). The boredom of waiting could gather in its intensity deforming bodies with “the doom of depression” (Anderson 749). The stopped time-spaces in advance of a raid could be soaked with so much tension that the commencement of sirens, vibrations and explosions would allow a person overwhelming relief (MO 253). Quoting from a boy recalling his experiences in Hannover during 1943, Hewitt illustrates:I lie in bed. I am afraid. I strain my ears to hear something but still all is quiet. I hardly dare breathe, as if something horrible is knocking at the door, at the windows. Is it the beating of my heart? ... Suddenly there seems relief, the sirens howl into the night ... (Heimatbund Niedersachsen 1953: 185). (Cited in Hewitt, When 16)Once a state of still was lost getting it back required some effort (Bissell, Comfortable 1697). Cautious of preventing mass panic and public hysteria by allowing the body to erupt outwards into dangerous vectors of mobility, the British government’s schooling in the theories of panicology (Orr 12) and contagious affect (Le Bon 17; Tarde 278; Thrift, Intensities 57; Trotter 140), made air raid precautions (ARP) officers, police and civil defence teams enforce ‘stay put’ and ‘hold firm’ orders to protect the population (Jones et al, Civilian Morale 463, Public Panic 63-64; Thomas 16). Such orders were meant to shield against precisely the kinds of volatile bodies they were trying to compel with their own bombing strategies. Reactions to the Blitz were moralised and racialised. Becoming stilled required self-conscious work by a public anxious not to be seen to ‘panic’. This took the form of self-disciplination. People exhausted considerable energy to ‘settle’ themselves down. It required ‘holding’ themselves still and ‘together’ in order to accomplish this state, and to avoid going the same way as the buildings falling apart around them, as some people observed (MO 408). In Britain a cup of tea was often made as a spontaneous response in the event of the conclusion of a raid (Brown 686). As well as destroying bombing created spaces too – making space for stillness (Conradson 33). Many people found that they could recall their experiences in vivid detail, allocating a significant proportion of their memories to the recollection of the self and an awareness of their surroundings (IWM 19103). In this mode of stillness, contemplation did not turn-inwards but unfolded out towards the environment. The material processual movement of the shell-blast literally evacuated all sound and materials from its centre to leave a vacuum of negative pressure. Diaries and oral testimonies stretch out these millisecond events into discernable times and spaces of sensation, thought and the experience of experience (Massumi, Parables 2). Extraordinarily, survivors mention serene feelings of quiet within the eye of the blast (see Mortimer 239); they had, literally, ‘no time to be frightened’ (Crighton-Miller 6150). A shell explosion could create such intensities of stillness that a sudden and distinctive lessening of the person and world are expressed, constituting ‘stilling-slowing diminishments’ (Anderson 744). As if the blast-vacuum had sucked all the animation from their agency, recollections convey passivity and, paradoxically, a much more heightened and contemplative sense of the moment (Bourke 121; Thrift, Still 41). More lucid accounts describe a multitude of thoughts and an attention to minute detail. Alternatively, the enormous peaking of a waking blast subdued all later activities to relative obsolescence. The hurricane of sounds and air appear to overload into the flatness of an extended and calmed instantaneous present.Then the whistling stopped, then a terrific thump as it hit the ground, and everything seem to expand, then contract with deliberation and stillness seemed to be all around. (As recollected by Bill and Vi Reagan in Gaskin 17)On the other hand, as Schivelbusch (7) shows us in his exploration of defeat, the cessation of war could be met with an outburst of feeling. In these micro-moments a close encounter with death was often experienced with elation, a feeling of peace and well-being drawn through a much more heightened sense of the now (MO 253). These are not pre-formed or contemplative techniques of attunement as Thrift has tracked, but are the consequence of significant trauma and the primal reaction to extreme danger.TracesSusan Griffin’s haunting A Chorus of Stones documents what she describes as a private life of war (1). For Griffin, and as shown in these brief examples, stillness and being-stilled describe a series of diverse experiences endured during aerial bombing. Yet, as Griffin narrates, these are not-so private lives. A common representation of air war can be found in Henry Moore’s tube shelter sketches which convey sleeping tube-dwellers harboured in the London underground during the Blitz. The bodies are represented as much more than individuals being connected by Moore’s wave-like shapes into the turbulent aggregation of a choppy ocean. What we see in Moore’s portrayal and the examples discussed already are experiences with definite relations to both inner and outer worlds. They refer to more-than individuals who bear intimate relations to their outsides and the atmospheric and material environments enveloping and searing through them. Stillness was an unlikely state composed through these circulations just as it was formed as a means of address. It was required in order to apprehend sounds and possible events through techniques of listening or waiting. Alternatively being stilled could refer to pauses between air-strikes and the corresponding breaks of tension in the aftermath of a raid. Stillness was composed through a series of distributed yet interconnecting bodies, feelings, materials and atmospheres oriented towards the future and the past. The ruins of bombed-out building forms stand as traces even today. Just as Massumi (Sensing 16) describes in the context of architecture, the now static remainder of the explosion “envelops in its stillness a deformational field of which it stands as the trace”. The ruined forms left after the attack stand as a “monument” of the passing of the raid to be what it once was – house, factory, shop, restaurant, library - and to become something else. The experience of those ‘from below’ (Hewitt 2) suffering contemporary forms of air-warfare share many parallels with those of the Blitz. Air power continues to target, apparently more precisely, the affective tones of the body. Accessed by kinetic and non-kinetic forces, the signs of air-war are generated by the shelling of Kosovo, ‘shock and awe’ in Iraq, air-strikes in Afghanistan and by the simulated air-raids of IDF aircraft producing sonic-booms over sleeping Palestinian civilians, now becoming far more real as I write in the final days of 2008. Achieving stillness in the wake of aerial trauma remains, even now, a way to survive the (private) life of air war. AcknowledgementsI’d like to thank the editors and particularly the referees for such a close reading of the article; time did not permit the attention their suggestions demanded. Grateful acknowledgement is also made to the AHRC whose funding allowed me to research and write this paper. ReferencesAdey, Peter. Aerial Geographies: Mobilities, Bodies and Subjects. Oxford: Wiley-Blackwell, 2010 (forthcoming). 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