Relevant bibliographies by topics / In-plane behaviuor

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
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Academic literature on the topic 'In-plane behaviuor'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "In-plane behaviuor"

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LATCHAROTE, Panon, and Yoshiro KAI. "NUMERICAL DERIVATIONS OF A MACROSCOPIC MODEL FOR REINFORCED CONCRETE WALLS CONSIDERING IN-PLANE AND OUT-OF-PLANE BEHAVIOR." Journal of JAEE 15, no. 2 (2015): 2_45–2_58. http://dx.doi.org/10.5610/jaee.15.2_45.

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Mochizuki, Akihiro. "Both Symmetric and Asymmetric Electro-Optic Dynamic Behavior with SSD (Smectic Single Domain) Liquid Crystals." Crystals 11, no. 4 (March 26, 2021): 337. http://dx.doi.org/10.3390/cryst11040337.

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SSD-liquid crystal panels’ retardation switching dynamic behaviors have been investigated from their in-plane and out-of-plane retardation switching behaviors. In-plane-only and a mixture between in-plane and out-of-plane retardation switching behaviors are highly related to the initial smectic liquid crystal molecular stacking configurations. With uniformly stacked configuration, a completely symmetric retardation switching, as well as light throughput behavior, was obtained. With a slight twisted stacking configuration, the retardation switching behavior is dependent on the applied electric field strength, which may change the initial molecular stacking configuration, resulting in either symmetric or asymmetric retardation switching. When the molecular stacking has twisted heavily, the obtained retardation switching showed asymmetric behavior regardless of the applied electric field strength.
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YARITA, I., T. NAOI, and T. HASHIZUME. "PLF-11: Plastic Deformation Behaviors of Magnesium Alloy AZ31 in Plane Strain Compression(PLF-II: PLASTIC FORMING AND ADVANCED PRODUCTS)." Proceedings of the JSME Materials and Processing Conference (M&P) 2005 (2005): 36. http://dx.doi.org/10.1299/jsmeintmp.2005.36_3.

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4

Yavan, Öznur. "Engagement in Organizational Behaviour Plane." Pamukkale University Journal of Social Sciences Institute 2016, no. 25 (2016): 278–96. http://dx.doi.org/10.5505/pausbed.2016.36349.

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Pan, W. H., and C. M. Wang. "Elastic In-Plane Buckling of Funicular Arches." International Journal of Structural Stability and Dynamics 20, no. 13 (October 13, 2020): 2041014. http://dx.doi.org/10.1142/s021945542041014x.

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Buckling loads of arches could be significantly affected by the assumptions made on the load behavior during buckling. For a funicular arch whose centerline coincides with the compression line, we may consider two types of load behaviors based on how the line of load action shifts during buckling. This paper presents the governing differential equations for the elastic in-plane buckling problem of funicular circular arches under uniform radial pressure based on the two different load behavior assumptions, as well as analytical and numerical methods for analysis. For the analytical method, buckling criteria of rotationally-restrained ended circular arches with an internal rotational spring are formulated by using the general solution of the governing differential equation. For the numerical method, the Hencky bar-chain model (HBM) and its simple matrix formulations for general funicular arches are established. The buckling loads and mode shapes of funicular circular arches are solved by using HBM and verified against exact solutions obtained from the analytical method. For funicular catenary arches and parabolic arches, the buckling load solutions by HBM with various number of segments are also obtained and compared with the solutions presented by the previous researchers.
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Chen, Wang, Yin Pei Wang, Pei Ning Li, Chen Jin, and Xiao Ming Sun. "Numerical Study of Defect Free Elbows Subjected to In-Plane Bending Moment." Advanced Materials Research 189-193 (February 2011): 1494–97. http://dx.doi.org/10.4028/www.scientific.net/amr.189-193.1494.

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Elbow is a type of components widely used in a piping system, and so it is very important to know the plastic carrying capacity of elbow. In this study, the elastic-plastic behavior of elbows with various ratios of t/rm and relative bending radius R/rm were investigated in detail by using of three-dimensional (3D) non-linear finite element (FE) analyses, assuming elastic-perfectly-plastic material behaviour and taking geometric nonlinearity into account. The analyses indicated that elbow exhibited different behavior obviously at the elastic-plastic states subjected to In-Plane opening bending moment and closing bending moment. The closed form equations of elbow involving effect of tangent pipes were established.
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Davini, Cesare, Antonino Favata, Andrea Micheletti, and Roberto Paroni. "A 2D microstructure with auxetic out-of-plane behavior and non-auxetic in-plane behavior." Smart Materials and Structures 26, no. 12 (November 1, 2017): 125007. http://dx.doi.org/10.1088/1361-665x/aa9091.

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Chong, A. C. M., Fan Yang, David C. C. Lam, and Pin Tong. "Mechanics Framework for Micron-Scale Planar Structures." Advanced Materials Research 9 (September 2005): 173–82. http://dx.doi.org/10.4028/www.scientific.net/amr.9.173.

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Structures are assemblies of planar and three-dimensional objects. Planar components and parts are commonly because the deformation behaviors of plates and beams can be analyzed within the plane problem framework. For micron-scale structures, patterning processes in microfabrications are intrinsically planar and the resulting fabricated structures are also planar. These planar micron-scale structures have been designed and analyzed using conventional mechanics, but increasingly as the sizes of these structures become smaller, higher order effects become significant. In nanometer-scale, surfaces were recognized to play significant roles in affecting the physical behavior. Size dependent elastic and plastic deformation behaviors in micron-scale structures were also observed. Size dependence is an intrinsic part of higher order theory of mechanics and has been used successfully to explain scale dependent behavior in threedimensional structures. In this paper, two-dimensional higher order elastic relations in plane stress and plane strain for compressible solids are developed. The difference between the higher order and conventional elasticity theories is compared
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Sundaram, P. A., D. Rodriguez, and S. Santiago. "Deformation behavior of a alpha brass in plane stress/plane strain." Scripta Metallurgica et Materialia 30, no. 1 (January 1994): 95–100. http://dx.doi.org/10.1016/0956-716x(94)90365-4.

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Caliò, Ivo, Francesco Cannizzaro, and Massimo Marletta. "A Discrete Element for Modeling Masonry Vaults." Advanced Materials Research 133-134 (October 2010): 447–52. http://dx.doi.org/10.4028/www.scientific.net/amr.133-134.447.

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The assessment of the seismic response of historical masonry buildings represents a subject of considerable importance but, at the same time, of very difficult task. Refined finite element numerical models, able to predict the non-linear dynamic mechanical behavior and the degradation of the masonry media, require sophisticated constitutive law and a huge computational cost that makes these methods nowadays not suitable for practical application. In the past many authors developed simplified or alternative methodologies that, with a reduced computational effort, should be able to provide numerical results that can be considered sufficiently accurate for engineering practice purposes. However most of these methods are based on simplified hypotheses that make these approaches inappropriate for monumental buildings. In this paper a three dimensional discrete element model, able to predict the nonlinear behaviour of masonry shell elements, is presented as an extension of a previously introduced spatial discrete-element conceived for the simulation of both the in-plane and the out-of-plane behavior of masonry plane elements. The new macro-element enriches a larger computational framework, based on macro-element approach, devoted to the numerical simulation of the seismic behaviour of historical masonry structures.
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Dissertations / Theses on the topic "In-plane behaviuor"

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Liu, Xinpei Civil &amp Environmental Engineering Faculty of Engineering UNSW. "Nonlinear in-plane behaviour of fixed arches under thermal loading." Awarded by:University of New South Wales. School of Civil and Environmental Engineering, 2006. http://handle.unsw.edu.au/1959.4/27236.

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This thesis presents the nonlinear in-plane behaviour of circular fixed arches subjected to thermal loading only. Due to the nonlinear prebuckling behaviour of arches and its effects, classical buckling theory which is founded on geometric prebuckling linearity can not predict the in-plane buckling of arches accurately. Based on a nonlinear formulation of the strain and displacement relationship and considering constant thermal distributions only, virtual work formulations are used to establish the differential equations of in-plane equilibrium and the statical boundary conditions, from which the nonlinear equilibrium equations are derived in closed form and which are suitable to use in design. By considering the adjacent buckled configurations, the differential buckling equilibrium equations are formulated from the principle of virtual work as well, and the analytical solutions for the nonlinear buckling of fixed arches are obtained. It is shown that nonlinear elastic buckling of a fixed in the plane of it curvature can not occur when it is subjected to thermal loading only, except if the arch is as a straight column. By using the algebraic representation of nonlinear in-plane equilibrium derived in this thesis, the elastic response of fixed arches at elevated temperatures and the attainment of first yield are examined in detail. The arch deflects transversely without bound in the elastic range at elevated temperatures, whereas it will yield first at the top extreme fibre of the cross section at the supports when a critical temperature is reached. The influence of several parameters such as the included angle is also considered. Based on the models of stress distributions at cross sections, the spread of yield both through the cross section and along the length of the arch is studied. It is indicated that the progress of yielding causes the first two hinges to form at the supports of the fixed arches, and then moment redistribution leads to the generation of the third hinge at the crown with an increase of temperature. Thus nonlinear plastic hinge analysis can be applied to the arch analysis under thermal loading.
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Ceran, H. Burak. "Seismic Vulnerability Of Masonry Structures In Turkey." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612745/index.pdf.

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This study focuses on the evaluation of seismic safety of masonry buildings in Turkey by using fragility curves. Fragility curves for masonry buildings are generated by two behavior modes for load bearing walls: in-plane and out-of-plane. By considering the previous research and site investigations, four major parameters have been used in order to classify masonry buildings with in-plane behavior mode. These are number of stories, strength of load-bearing wall material, regularity in plan and the arrangement of walls (required length, openings in walls, etc.). In addition to these four parameters, floor type is also taken into account for the generation of fragility curves by considering out-of-plane behavior mode. During generation of fragility curves, a force-based approach has been used. In this study there exist two limit states, or in other words three damage states, in terms of base shear strength for in-plane behavior mode and flexural strength for out-of-plane behavior mode. To assess the seismic vulnerability of unreinforced masonry buildings in Turkey, generated fragility curves in terms of in-plane behavior, which is verified by damage statistics obtained during the 1995 Dinar earthquake, and out-of-plane behavior, which is verified by damage statistics obtained during the 2010 Elazig earthquake, is combined. Throughout the analysis, ground motion uncertainty, material variability and modeling uncertainty have also been considered. In the final part of the study, a single-valued parameter, called as &lsquo
vulnerability score&rdquo
, has been proposed in order to compare the seismic safety of unreinforced masonry buildings in Fatih sub province of Istanbul and to assess the influence of out-of-plane behavior together with the in-plane behavior of these existing masonry buildings.
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Chea, Ming Kai. "Investigating In-plane Shear Behaviour of Uncured Unidirectional Prepreg Tapes." Thesis, KTH, Lättkonstruktioner, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-262011.

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Steering of prepreg tows in an automated fibre placement (AFP) process allows geodesic layup trajectory over a doubly-curved surface, as well as the potential to improve the efficiency of composite structures by tailoring their stiffness. However, defects (such as out-of-plane buckling and tow pull off) are commonly generated when the steering radius exceeds a critical limit, which impact the mechanical properties of the finished product. The in- and out-of-plane material properties of the prepreg tows have been shown to significantly influence the quality of the layup. In this thesis, in-plane shear behaviour of uncured IMA-M21 unidirectional (UD) prepreg was characterised using an off-axis tensile test to derive material parameters for process models to predict steering limits and defects. Test parameters, such as shear strain rates and temperatures, that were investigated were consistent to the actual AFP process. The results demonstrates the expected strain-rate and temperature dependencies related to the resins viscoelastic behaviour. Subsequently, a novel micro-mechanical finite element (FE) simulation of a 3-dimensional UD prepreg unit cell in pure shear was conducted to gain qualitative insights into the complex rheological behaviour at play. It effectively demonstrates how fibre friction, resin viscosity and shear strain rates influence the load transfer between fibres and melt, as well as the movement of fibres during the shearing process. These were reflected in the shear stress-strain curves generated in the simulation and elastic micro-buckling observed in the fibre elements. The results pave a way for future development of a robust material model for predicting the critical process parameters to achieve quality layups from AFP steering process.
Automated Fibre Placement (AFP) är en automatiserad metod för tillverkning av högpresterande fiberkompositkomponenter inom främst flygindustrin. AFP gör det möjligt att styra fiberupplägget genom att följa den geodetiska vägen ¨over dubbelkrökta ytor. Detta ger effektiva kompositstrukturer där fibrerna tillåts ligga i precis de rätta, skräddarsydda riktningarna för bästa möjliga mekaniska prestanda. Det finns dock begränsningar, speciellt när det gäller kritiska styrradier där defekter som fiberbuckling och fiber-släpp lätt uppstår. Dessa defekter påverkar den färdiga produktens mekaniska egenskaper. Skjuvegenskaperna i planet hos de ohärdade prepregens fiberbuntar och buckling ut ur planet har visat sig ha stor inverkan på kvalitén hos fiberuppläggen. I denna avhandling undersöks skjuvegenskaperna hos ohärdad IMA-M21 enkelriktad (UD) prepreg med hjälp av ett icke-axiellt dragprov. Syftet ¨ar att ta fram materialdata för simulering av fiberuppläggets begränsningar, för att kunna bestämma hur AFPn bör styras. Modellerna ska ¨aven prediktera de defekter som uppstår. Testparametrar så som skjuvhastigheter och temperaturer undersöks för att efterlikna den verkliga AFP-processen. Resultaten fångar det förväntade skjuvhastighet- och temperaturberoende som ges av matrisens viskoelastiska egenskaper. Baserat på dessa modeller tas en nya mikromekanisk modell fram som implementerad i Finita Element (FE) ger kvalitativ inblick i den komplexa reologin som inverkar. Modellen påvisar tydligt hur fiberfriktion, matrisens viskositet- och skjuvhastighet påverkar kraftföreningen mellan fiber och matris, så väl som förflyttningen av fibrer under skjuvprocessen. Resultaten banar väg för framtida utveckling av robusta materialmodeller för att kunna prediktera kritiska parametrar för att åstadkomma högkvalitativa
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4

Yahiaoui, Mohamed. "Crush behavior of flanged plates under localized in-plane loadings." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/39990.

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Hossain, Khandaker Muhammed Anwar. "In-plane shear behaviour of composite walling with profiled steel sheeting." Thesis, University of Strathclyde, 1995. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=21963.

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This thesis introduces a novel form of double skin composite walling with profiled steel sheeting and an infill of concrete. This is a logical extension of research on composite slabs with profiled steel sheeting currently known as popular "Fastrack" construction. The composite walling is thought to be specially applicable as shear or core walls in steel frame buildings. The profiled steel sheeting will act as a temporary shear bracing to stabilise the frame against wind and destablising forces during construction and also act as a form work for infill of concrete. In the service stage, they will act as a reinforcement to carry axial, lateral and in-plane forces. This thesis investigates the behaviour of composite walls under in-plane shear so that they can be used as shear elements in buildings. The investigation includes analytical, numerical and small scale model tests. Design recommendations for the composite walls are the final aim of the research. The investigation is based on the concept that the in-plane shear strength and stiffness of the composite wall will be derived from the individual sheeting, concrete core and from the interaction between the two. Based on above, individual behaviour of the sheeting and concrete core was studied before considering the composite wall as a whole. A shear rig has been designed and fabricated to carry out the model tests of approximately 1/6 th scale using very thin sheeting (profiled in house) and microconcrete. Analytical equations for the shear strength and stiffness of the sheeting, profiled concrete and composite wall are derived. These equations are validated by model tests and finite element analysis. Finite element analysis included modelling of composite walling with full composite action and some parametric studies using interface elements. The stiffness of the composite wall is found to be greater than the individual summation of stiffness of the sheeting and concrete core. The profiled steel sheeting will provide sufficient shear bracing to the frame during construction. The composite wall is capable of taking high in-plane shear loads which is greater than the summation of individual capacity of the sheeting and concrete and confirms its potential to be used as shear elements in buildings. Simple equations for the calculation of shear strength and stiffness of the composite wall are derived which can safely be used for design purposes. Further research directions are also outlined.
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Samayoa, Avalos Julio Alfredo. "Semi-engineered earthquake-resistant structures: one-storey buildings built up with gabion-box walls." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/11121/.

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This thesis studies the static and seismic behavior of simple structures made with gabion box walls. The analysis was performed considering a one-story building with standard dimensions in plan (6m x 5m) and a lightweight timber roof. The main focus of the present investigation is to find the principals aspects of the seismic behavior of a one story building made with gabion box walls, in order to prevent a failure due to seismic actions and in this way help to reduce the seismic risk of developing countries where this natural disaster have a significant intensity. Regarding the gabion box wall, it has been performed some calculations and analysis in order to understand the static and dynamic behavior. From the static point of view, it has been performed a verification of the normal stress computing the normal stress that arrives at the base of the gabion wall and the corresponding capacity of the ground. Moreover, regarding the seismic analysis, it has been studied the in-plane and out-of-plane behavior. The most critical aspect was discovered to be the out-of-plane behavior, for which have been developed models considering the “rigid- no tension model” for masonry, finding a kinematically admissible multiplier that will create a collapse mechanism for the structure. Furthermore, it has been performed a FEM and DEM models to find the maximum displacement at the center of the wall, maximum tension stresses needed for calculating the steel connectors for joining consecutive gabions and the dimensions (length of the wall and distance between orthogonal walls or buttresses) of a geometrical configuration for the standard modulus of the structure, in order to ensure an adequate safety margin for earthquakes with a PGA around 0.4-0.5g. Using the results obtained before, it has been created some rules of thumb, that have to be satisfy in order to ensure a good behavior of these structure.
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Calata, Jesus Noel. "Densification Behavior of Ceramic and Crystallizable Glass Materials Constrained on a Rigid Substrate." Diss., Virginia Tech, 2005. http://hdl.handle.net/10919/27645.

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Constrained sintering is an important process for many applications. The sintering process almost always involves some form of constraint, both internal and external, such as rigid particles, reinforcing fibers and substrates to which the porous body adheres. The densification behavior of zinc oxide and cordierite-base crystallizable glass constrained on a rigid substrate was studied to add to the understanding of the behavior of various materials undergoing sintering when subjected to external substrate constraint. Porous ZnO films were isothermally sintered at temperatures between 900°C and 1050°C. The results showed that the densification of films constrained on substrates is severely reduced. This was evident in the sintered microstructures where the particles are joined together by narrower necks forming a more open structure, instead of the equiaxed grains with wide grain boundaries observed in the freestanding films. The calculated activation energies of densification were also different. For the density range of 60 to 64%, the constrained film had an activation energy of 391 ± 34 kJ/mole compared to 242 ± 21 kJ/mole for the freestanding film, indicating a change in the densification mechanism. In-plane stresses were observed during the sintering of the constrained films. Yielding of the films, in which the stresses dropped slight or remained unchanged, occurred at relative densities below 60% before the stresses climbed linearly with increasing density followed by a gradual relaxation. A substantial amount of the stresses remained after cooling. Free and constrained films of the cordierite-base crystallizable glass (glass-ceramic) were sintered between 900°C and 1000°C. The substrate constraint did not have a significant effect on the densification rate but the constrained films eventually underwent expansion. Calculations of the densification activation energy showed that, on average, it was close to 1077 kJ/mole, the activation energy of the glass, indicating that the prevailing mechanism was still viscous flow. The films expanded earlier and faster with increasing sintering temperature. The expansion was traced to the formation of pores at the interface with the silicon substrate and to a lesser extent on aluminum nitride. It was significantly reduced when the silicon substrate was pre-oxidized at 900°C, leading to the conclusion that the pore formation at the interface was due to poor wetting, which in turn was caused by the loss of the thin oxide layer through a reaction with the glass.
Ph. D.
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8

Niraula, Manjil. "BEHAVIOR AND DESIGN OF THE CRITICAL MEMBER IN STRUCTURES WITH IN-PLANE DISCONTINUOUS BRACED FRAMES." OpenSIUC, 2020. https://opensiuc.lib.siu.edu/theses/2751.

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When a structure with an in-plane discontinuous frame is used, a discontinuous load path is formed due to the irregularity. This is continuous load path can lead to the failure of certain elements and the structure as a whole when the structure is exposed to lateral loading. In this study, an in-plane discontinuous frame structure is exposed to gravity as well as lateral loading due to which a discontinuous load path is formed. Due to the discontinuous load path, higher value of axial load is developed on a beam which is generally designed considering it as a flexural member. The main objective of this thesis is to determine if the beam can be designated as the critical member in the in-plane discontinuous frame and the comparison of the critical element with the corresponding element in a frame that has no structural irregularities. The objective is also to design the critical member considering it as a beam-column element considering the combined effect of bending and compression.
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9

Hawkins, Guy Lawrence. "The behaviour of bonded out-of-plane joints in fibre reinforced plastic structures." Thesis, University of Southampton, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.261750.

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10

Eva, Charles Almond. "Experimental evaluation of the in-plane seismic behavior of store-front window systems." Diss., [La Jolla, Calif.] : University of California, San Diego, 2009. http://wwwlib.umi.com/cr/ucsd/fullcit?p1462129.

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Thesis (M.S.)--University of California, San Diego, 2009.
Title from first page of PDF file (viewed April 16, 2009). Available via ProQuest Digital Dissertations. Includes bibliographical references (p. 91-94).
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Books on the topic "In-plane behaviuor"

1

Anthoine, A. In-plane behaviour of masonry: A literature review. Luxembourg: Commission of the European Communities, 1992.

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2

Lee, Marcus Man-Kon. Ultimate load behaviour of plates with holes under in-plane loads. Birmingham: University of Birmingham, 1987.

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3

Anthoine, A. In-Plane Behaviour of Masonry. Stationery Office Books, 1992.

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4

Tretkoff, Paula. Complex Surfaces and Coverings. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0004.

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This chapter deals with complex surfaces and their finite coverings branched along divisors, that is, subvarieties of codimension 1. In particular, it considers coverings branched over transversally intersecting divisors. Applying this to linear arrangements in the complex projective plane, the chapter first blows up the projective plane at non-transverse intersection points, that is, at those points of the arrangement where more than two lines intersect. These points are called singular points of the arrangement. This gives rise to a complex surface and transversely intersecting divisors that contain the proper transforms of the original lines. The chapter also introduces the divisor class group, their intersection numbers, and the canonical divisor class. Finally, it describes the Chern numbers of a complex surface in order to define the proportionality deviation of a complex surface and to study its behavior with respect to finite covers.
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5

Meli, Domenico Bertoloni. Experimentation in the Physical Sciences of the Seventeenth Century. Edited by Jed Z. Buchwald and Robert Fox. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199696253.013.8.

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This article examines experimentation in the physical sciences during the seventeenth century. It first provides an overview of some features and problems of seventeenth-century experimentation before discussing experiments on the science of motion, with particular emphasis on falling bodies, the inclined plane and projectiles, and the pendulum. It then considers barometric experiments associated with Torricelli and their aftermath, including Florin Périer’s Puy-de Dôme experiment in 1648 to test whether the mercury in the barometer was lower at the top, Adrien Auzout’s void-in-the-void experiment, and Gilles de Roberval’s carp-bladder experiment. It also describes the experiments of Otto von Guericke and Robert Boyle, along with optical experiments designed to investigate the behaviour and nature of light, including Isaac Newton’s prismatic experiments.
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Epstein, Charles L., and Rafe Mazzeo. The Model Solution Operators. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0004.

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This chapter introduces the model problems and the solution operator for the associated heat equations. These operators give a good approximation for the behavior of the heat kernel in neighborhoods of different types of boundary points. The chapter states and proves the elementary features of these operators and shows that the model heat operators have an analytic continuation to the right half plane. It first considers the model problem in 1-dimension and in higher dimensions before discussing the solution to the homogeneous Cauchy problem. It then describes the first steps toward perturbation theory and constructs the solution operator for generalized Kimura diffusions on a suitable scale of Hölder spaces. It also defines the resolvent families and explains why the estimates obtained here are not adequate for the perturbation theoretic arguments needed to construct the solution operator for generalized Kimura diffusions.
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Schwartz, Richard Evan. The Plaid Model. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691181387.001.0001.

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Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of ordinary billiards. This book provides a combinatorial model for orbits of outer billiards on kites. The book relates these orbits to such topics as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The combinatorial model, called “the plaid model,” has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be extremely difficult to reach through traditional mathematics. The book includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration.
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Epstein, Charles L., and Rafe Mazzeo. Degenerate Diffusion Operators Arising in Population Biology (AM-185). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.001.0001.

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This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the martingale problem and therefore the existence of the associated Markov process. The book uses an “integral kernel method” to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise nature of the degeneracies of the principal symbol for these operators leads to solutions of the parabolic and elliptic problems that display novel regularity properties. Dually, the adjoint operator allows for rather dramatic singularities, such as measures supported on high codimensional strata of the boundary. The book establishes the uniqueness, existence, and sharp regularity properties for solutions to the homogeneous and inhomogeneous heat equations, as well as a complete analysis of the resolvent operator acting on Hölder spaces. It shows that the semigroups defined by these operators have holomorphic extensions to the right half plane. The book also demonstrates precise asymptotic results for the long-time behavior of solutions to both the forward and backward Kolmogorov equations.
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9

Matthews, Russell Stuart. The structural behaviour of brick sewer pipes in soft ground: The examination of brick and reinforced plastic pipes, in granular soil, and under plane strain conditions, using fully non-linear finite element models and a large-scale physical testing programme. Bradford, 1985.

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Book chapters on the topic "In-plane behaviuor"

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Rimrott, F. P. J., and Michal Cvercko. "Wrinkling in Thin Plates due to In-plane Body Forces." In Inelastic Behaviour of Plates and Shells, 19–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82776-1_2.

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Kaufmann, Walter. "Behaviour of Membrane Elements." In Strength and Deformations of Structural Concrete Subjected to In-Plane Shear and Normal Forces, 65–94. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-7612-4_5.

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Kaufmann, Walter. "Behaviour of Beams in Shear." In Strength and Deformations of Structural Concrete Subjected to In-Plane Shear and Normal Forces, 95–122. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-7612-4_6.

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Wang, Erheng, and Arun Shukla. "The Blast Response of Sandwich Composites with In-Plane Pre-Loading." In Dynamic Behavior of Materials, Volume 1, 225–31. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-8228-5_31.

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Bettini, F., F. G. Cesari, S. Ghia, and V. Regis. "Elasto-Plastic Fatigue for In-Plane Bending on Elbow." In Low Cycle Fatigue and Elasto-Plastic Behaviour of Materials, 419–25. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3459-7_64.

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Rizzi, Ermes, Mirko Capovilla, Maurizio Piazza, and Ivan Giongo. "In-Plane Behavior of Timber Diaphragms Retrofitted with CLT Panels." In RILEM Bookseries, 1613–22. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-99441-3_173.

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LeVeque, Randall J., and Darryl H. Yong. "Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media." In Hyperbolic Problems: Theory, Numerics, Applications, 43–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55711-8_3.

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Kim, J. H. "Analytical implications on in-plane behavior of unreinforced masonry walls." In Finite Elements in Civil Engineering Applications, 249–55. London: CRC Press, 2021. http://dx.doi.org/10.1201/9781003211365-34.

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Yasin, S. J. M., and F. Tatsuoka. "Stress-Strain Behaviour of a Micacious Sand in Plane Strain Condition." In Soil Stress-Strain Behavior: Measurement, Modeling and Analysis, 263–72. Dordrecht: Springer Netherlands, 2007. http://dx.doi.org/10.1007/978-1-4020-6146-2_11.

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Cline, Julia. "The Effect of in-Plane Properties on the Ballistic Response of Polyethylene Composites." In Dynamic Behavior of Materials, Volume 1, 251–53. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95089-1_46.

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Conference papers on the topic "In-plane behaviuor"

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Pardo-García, N. "Continued fraction evaluation of special functions in the complex plane." In MODELING COOPERATIVE BEHAVIOR IN THE SOCIAL SCIENCES. AIP, 2005. http://dx.doi.org/10.1063/1.2008624.

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Chen, Cheng-Chih, and Wei-Chien Tang. "Cyclic Behavior Of Steel Braces Buckled In-Plane." In The Seventh International Structural Engineering and Construction Conference. Singapore: Research Publishing Services, 2013. http://dx.doi.org/10.3850/978-981-07-5354-2_st-192-550.

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Donà, Marco, Giovanni Tecchio, Luca Domenicale, Elisa Saler, Massimiliano Minotto, and Francesca da Porto. "DIRECTIONAL EFFECTS ON COMBINED IN-PLANE AND OUT OF PLANE SEISMIC BEHAVIOR OF MASONRY INFILLS." In 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017. http://dx.doi.org/10.7712/120117.5649.18570.

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Wang, P., D. J. Swaffield, P. L. Lewin, and G. Chen. "Thermal bubble behaviour in liquid nitrogen between inclined plane electrodes." In 2007 Annual Report - Conference on Electrical Insulation and Dielectric Phenomena. IEEE, 2007. http://dx.doi.org/10.1109/ceidp.2007.4451505.

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Xiao, Shenglei, Peng Wang, Damien Soulat, Xavier Legrand, and Hang Gao. "Studies of in-plane shear behaviour of braided composite reinforcements." In PROCEEDINGS OF THE 21ST INTERNATIONAL ESAFORM CONFERENCE ON MATERIAL FORMING: ESAFORM 2018. Author(s), 2018. http://dx.doi.org/10.1063/1.5034840.

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Yoshizaki, Koji, Hirokazu Ando, and Noritake Oguchi. "Large Deformation Behavior of Pipe Bends Subjected to In-Plane Bending." In 1998 2nd International Pipeline Conference. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/ipc1998-2085.

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Ground liquefaction during earthquakes can produce a significant amount of lateral ground displacement. For buried gas pipelines, deformation and strain are likely to be concentrated on the pipe bends. Closing and opening in-plane bending experiments were conducted for various kinds of pipe bends until the measured strain exceeded 25% using pipe specimens of a diameter from 100 to 300 mm. The deformation behavior was different between the closing mode and the opening one. In the closing mode, an ovalization was observed in the central cross section of the bend, and internal pressure was maintained in all experiments. On the other hand, unique behavior was observed in the opening mode. When the pipe diameter was 300 mm (Do/t=43), local buckling was observed at the center of the bend. However, when Do/t was less than 32 (200 mm in diameter), the flexural rigidity of the bend became much higher than that of a straight pipe, and buckling and rupture were observed in the straight pipe. Finite element analyses were carried out using linear shell elements, and the validity of the numerical modeling technique over 25% of plastic strain was confirmed.
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WANG, YI, JONATHAN P. H. BELNOUE, DMITRY S. IVANOV, JAMES KRATZ, and STEPHEN R. HALLETT. "Modelling of the In-Plane Shear Behavior of Uncured Thermoset Prepreg." In American Society for Composites 2019. Lancaster, PA: DEStech Publications, Inc., 2019. http://dx.doi.org/10.12783/asc34/31363.

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Corradi, Marco, Antonio Borri, Marco Costanzi, and Simone Monotti. "IN-PLANE BEHAVIOR OF CRACKED MASONRY WALLS REPAIRED WITH TITANIUM RODS." In 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2019. http://dx.doi.org/10.7712/120119.7187.19569.

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WATANABE, Eiichi, Kazutoshi NAGATA, Masaki TAKEI, Kunitomo SUGIURA, and Yukio ADACHI. "IN-PLANE BEHAVIOR AND COLLAPSE PROCESSES OF STEEL RIGID-FRAME PIERS." In Proceedings of the Second International Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776228_0024.

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Tu, Yi-Hsuan, Pai-Mei Liu, and Hsuan-Pai Lin. "Out-of-Plane Seismic Behavior of Unreinforced Masonry In-filled Walls." In Structures Congress 2007. Reston, VA: American Society of Civil Engineers, 2007. http://dx.doi.org/10.1061/40946(248)48.

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Reports on the topic "In-plane behaviuor"

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MECHANICAL BEHAVIOR AND CATENARY ACTION OF RESTRAINED STEEL BEAM UNDER FIRE. The Hong Kong Institute of Steel Construction, September 2021. http://dx.doi.org/10.18057/ijasc.2021.17.3.8.

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To investigate the mechanical behavior and catenary action of restrained steel beam under fire, experiments were performed on five H-section restrained steel beams exposed to ISO-834 standard fire. At first, mechanical property tensile tests were performed on 3 room-temperature specimens and 8 high-temperature specimens, and variation laws of the material properties of steel materials with temperature rising were investigated by the high-temperature steady-state tests. Through the fire experiments, the temperature data, mid-span deflections and failure modes of all specimens were obtained. The experimental results show that: (1) a restrained steel beam is prone to in-plane buckling failure under fire; (2) the loading ratio n and axial restraint stiffness Kx have great influences on the catenary action of restrained steel beam under fire; (3) when the loading ratio n is constant, the greater the axial restraint stiffness Kx, the later the catenary action occurs; when the axial restraint stiffness Kx is constant, the greater the loading ratio n, the earlier the catenary action occurs.
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