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Relevant bibliographies by topics / Smooth deformations

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Academic literature on the topic 'Smooth deformations'

Author: Grafiati

Published: 10 March 2023

Last updated: 11 March 2023

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Journal articles on the topic "Smooth deformations"

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Williamson, M., and A. Majumdar. "Effect of Surface Deformations on Contact Conductance." Journal of Heat Transfer 114, no. 4 (November 1, 1992): 802–10. http://dx.doi.org/10.1115/1.2911886.

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This study experimentally investigates the influence of surface deformations on contact conductance when two dissimilar metals are brought into contact. Most relations between the contact conductance and the load use the surface hardness to characterize surface deformations. This inherently assumes that deformations are predominantly plastic. To check the validity of this assumption, five tests were conducted in the contact pressure range of 30 kPa to 4 MPa, with sample combinations of (I) smooth aluminum-rough stainless steel, (II) rough aluminum-smooth stainless steel, (III) rough copper-smooth stainless steel, (IV) smooth copper-rough stainless steel, and (V) smooth aluminum-smooth stainless steel. The experimental results of tests I, II, and IV indicate that the conductance of the first load-unload cycle showed hysteresis, suggesting that the plastic deformation was significant. However, for subsequent load cycles, no conductance hysteresis was observed, implying that elastic deformation was predominant. In contrast, no conductance hysteresis was observed for all load-unload cycles of tests III and V. Therefore, the surface deformation for this combination was always predominantly elastic. In practical applications where plastic deformation is significant for the first loading, mechanical vibrations can produce oscillating loads, which can finally lead to predominance of elastic deformation. Comparison of the results of tests II and V show that even though plastic deformation was significant for the first loading of a rough aluminum surface, elastic deformation was always predominant for the smoother aluminum surface

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Gaussier, Hervé, and Xianghong Gong. "Smooth Equivalence of Deformations of Domains in Complex Euclidean Spaces." International Mathematics Research Notices 2020, no. 18 (July 31, 2018): 5578–610. http://dx.doi.org/10.1093/imrn/rny168.

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Abstract We prove that two smooth families of 2-connected domains in $\mathbf{C}$ are smoothly equivalent if they are equivalent under a possibly discontinuous family of biholomorphisms. We construct, for $\infty > m \geq 3$, two smooth families of smoothly bounded $m$-connected domains in $\mathbf{C}$, and for $n\geq 2$, two families of strictly pseudoconvex domains in $\mathbf{C}^n$, which are equivalent under discontinuous families of biholomorphisms but not under any continuous family of biholomorphisms. Finally, we give sufficient conditions for the smooth equivalence of two smooth families of domains.

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Ilten, Nathan Owen. "Deformations of smooth toric surfaces." Manuscripta Mathematica 134, no. 1-2 (July 29, 2010): 123–37. http://dx.doi.org/10.1007/s00229-010-0386-9.

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Sako, Akifumi. "Recent Developments in Instantons in Noncommutative." Advances in Mathematical Physics 2010 (2010): 1–28. http://dx.doi.org/10.1155/2010/270694.

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We review recent developments in noncommutative deformations of instantons in . In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and noncommutativity. In the ADHM methods, there exist instantons whose commutative limits are singular. We review smooth noncommutative deformations of instantons, spinor zero-modes, the Green's functions, and the ADHM constructions from commutative ones that have no singularities. It is found that the instanton charges of these noncommutative instanton solutions coincide with the instanton charges of commutative instantons before noncommutative deformation. These smooth deformations are the latest developments in noncommutative gauge theories, and we can extend the procedure to other types of solitons. As an example, vortex deformations are studied.

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DE BARTOLOMEIS, PAOLO, and ANDREI IORDAN. "DEFORMATIONS OF LEVI FLAT STRUCTURES IN SMOOTH MANIFOLDS." Communications in Contemporary Mathematics 16, no. 02 (April 2014): 1350015. http://dx.doi.org/10.1142/s0219199713500156.

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We study intrinsic deformations of Levi flat structures on a smooth manifold. A Levi flat structure on a smooth manifold L is a couple (ξ, J) where ξ ⊂ T(L) is an integrable distribution of codimension 1 and J : ξ → ξ is a bundle automorphism which defines a complex integrable structure on each leaf. A deformation of a Levi flat structure (ξ, J) is a smooth family {(ξt, Jt)}t∈]-ε,ε[ of Levi flat structures on L such that (ξ0, J0) = (ξ, J). We define a complex whose cohomology group of order 1 contains the infinitesimal deformations of a Levi flat structure. In the case of real analytic Levi flat structures, this cohomology group is [Formula: see text] where (𝒵*(L), δ, {⋅,⋅}) is the differential graded Lie algebra associated to ξ.

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Capistrano, Abraão J. S. "Constraints on cosmokinetics of smooth deformations." Monthly Notices of the Royal Astronomical Society 448, no. 2 (February 10, 2015): 1232–39. http://dx.doi.org/10.1093/mnras/stv052.

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Neshveyev, Sergey. "Smooth Crossed Products of Rieffel’s Deformations." Letters in Mathematical Physics 104, no. 3 (November 29, 2013): 361–71. http://dx.doi.org/10.1007/s11005-013-0675-9.

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SALUR, SEMA. "DEFORMATIONS OF SPECIAL LAGRANGIAN SUBMANIFOLDS." Communications in Contemporary Mathematics 02, no. 03 (August 2000): 365–72. http://dx.doi.org/10.1142/s0219199700000177.

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In [7], R. C. McLean showed that the moduli space of nearby submanifolds of a smooth, compact, orientable special Lagrangian submanifold L in a Calabi-Yau manifold X is a smooth manifold and its dimension is equal to the dimension of ℋ1(L), the space of harmonic 1-forms on L. In this paper, we will show that the moduli space of all infinitesimal special Lagrangian deformations of L in a symplectic manifold with non-integrable almost complex structure is also a smooth manifold of dimension b1(L), the first Betti number of L.

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Iacono, Donatella, and Marco Manetti. "On Deformations of Pairs (Manifold, Coherent Sheaf)." Canadian Journal of Mathematics 71, no. 5 (January 9, 2019): 1209–41. http://dx.doi.org/10.4153/cjm-2018-027-8.

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AbstractWe analyse infinitesimal deformations of pairs $(X,{\mathcal{F}})$ with ${\mathcal{F}}$ a coherent sheaf on a smooth projective variety $X$ over an algebraically closed field of characteristic 0. We describe a differential graded Lie algebra controlling the deformation problem, and we prove an analog of a Mukai–Artamkin theorem about the trace map.

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Baladi, Viviane, and Daniel Smania. "Smooth deformations of piecewise expanding unimodal maps." Discrete & Continuous Dynamical Systems - A 23, no. 3 (2009): 685–703. http://dx.doi.org/10.3934/dcds.2009.23.685.

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Dissertations / Theses on the topic "Smooth deformations"

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Hanke, Daniel André [Verfasser]. "Logarithmically smooth deformations of strict normal crossing logarithmically symplectic varieties / Daniel André Hanke." Mainz : Universitätsbibliothek Mainz, 2015. http://d-nb.info/1068960906/34.

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Maldonado-Mercado, CeÌsar. "Deformation quantisation in singular spaces." Thesis, University of Glasgow, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.274160.

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Schwaiger, Hans Frederick. "An implementation of smoothed particle hydrodynamics for large deformation, history dependent geomaterials with applications to tectonic deformation /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/6807.

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Bhojwani, Shekhar. "Smoothed particle hydrodynamics modeling of the friction stir welding process." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2007. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

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Штефан, Т. О. "Просторова деформація плити синусоїдальним штампом." Thesis, Сумський державний університет, 2014. http://essuir.sumdu.edu.ua/handle/123456789/39335.

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Розглянуто пружну деформацію плити у вигляді паралелепіпеда під дією гладкого штампа, який контактує з плитою по всій поверхні верхньої основи плити. Нижня основа вільна від навантажень, а вертикальні переміщення точок бокової грані дорівнюють нулю. Ця задача є тривимірним узагальненням задачі. Межові умови, яких не вистачає при постановці задачі, беремо із припущення, що нормальні переміщення можуть бути представлені у вигляді подвійних рядів Фур’є за синусами.

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Polwaththe, Gallage Hasitha Nayanajith. "Numerical modelling of deformation behaviour of red blood cells in microvessels using the coupled SPH-DEM method." Thesis, Queensland University of Technology, 2016. https://eprints.qut.edu.au/91719/1/Hasitha%20Nayanajith_Polwaththe%20Gallage_Thesis.pdf.

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This thesis developed an advanced computational model to investigate the motion and deformation properties of red blood cells in capillaries. The novel model is based on the meshfree particle methods and is capable of modelling the large deformation of red blood cells moving through blood vessels. The developed model was employed to simulate the deformation behaviour of healthy and malaria infected red blood cells as well as the motion of red blood cells in stenosed capillaries.

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Moreira, Hipólito Douglas França. "Deformação de tecidos moles para simuladores médicos: uma abordagem sem malha." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/100/100131/tde-25012016-172839/.

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Esta dissertação de mestrado propõe o estudo e a implementação de um método de deformação usando modelos tridimensionais sem o uso de malhas baseado na técnica Smoothed Particles Hydrodynamics (SPH), que consiste num sistema de resolução de equações diferenciais para aplicação de conceitos físicos para simular deformação de tecidos moles. A opção pelo método sem malha para processo de deformação é apresentado nesta dissertação como alternativa a um dos métodos mais comuns em simulação de deformação de tecidos, o método massa-mola, explorando questões referentes ao uso de recursos computacionais. Para chegada a definição do método foram analisados os temas envolvendo métodos de deformação, modelos baseados em pontos e o SPH como plataformas para alcançar o desenvolvimento do método proposto pela dissertação. Como forma de comprovar as propriedades do método desenvolvido foi realizada a implementação e testes levando em consideração os modelos de deformação e a interação em tempo real num ambiente de simulação que contempla a deformação de uma mama, levando em conta a comparação com o método massa-mola, o uso de recursos do próprio método em função do aumento de detalhe e do uso de objeto com múltiplas propriedades
This master thesis proposes a study and implementation of deformation method using tridimensional models without edge composed meshes based on Smoothed Particles Hydrodynamics (SPH) technique, that consists on diferential equation solving system to reproduce physical concepts to simulate soft tissue deformation. The option for a meshless method to deformation process is shown in this thesis as an alternative to a very common method in tissue deform simulation, the mass-spring method, reviewing a comparison based on computational resources. To achieve a method definition were analyzed fields of study involving deformation methods, point-based models and SPH as platforms to build and deploy the proposed method for this thesis. To show the characteristics for this developed deformation method was realized the implementation and tests based on deformation models and real time interaction on a simulation environment that includes a breast deformation, taking in account the comparison to mass-spring, number of points of the cloud model and multiple properties

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Mudiyanselage, Charith Malinga Rathnayaka. "Meshfree-based numerical modelling of three-dimensional (3-D) microscale deformations of plant food cells during drying." Thesis, Queensland University of Technology, 2017. https://eprints.qut.edu.au/118069/1/Charith_Malinga_Rathnayaka_Mudiyanselage_Thesis.pdf.

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Numerical modelling has been a helpful tool for analysing plant cellular structure and associated dynamics. It generally consumes less time, money and other resources compared to experimenting with real plant structures. In this context, investigating the morphological changes that take place in the plant cellular structure under different circumstances has recently been an important application. Drying is one of the most common and cost effective techniques for extending the shelf life of food-plant materials (for instance, fruits and vegetables). During the drying process, food-plant cellular structure undergoes structural deformations that influence drying operations in terms of performance as well as food quality. To engineer effective and efficient food drying processes, it is important to establish a good understanding of cell morphological changes and underlying mechanisms. Grid-based approaches and meshfree methods are the two main categories of numerical modelling techniques used to analyse food-plant drying phenomena. Grid-based methods encounter drawbacks in some applications due to the inherent 'grid' behaviour and subsequent inability to successfully model problems with large deformations and multiphase phenomena. To overcome these drawbacks, meshfree (or meshless) based numerical modelling and simulation methods have been developed. There are recently reported efforts to numerically model the micro mechanics of food-plant matter using coupled Smoothed Particle Hydrodynamics (SPH) and Discrete Element Method (DEM)-based approaches. Some of these studies focus only on fresh plant cellular structures and their behaviour under external mechanical loading. There are other studies considering both fresh and dried plant cellular structures in two dimensions (2-D) along with their morphological characteristics. The overall computational approach in those investigations show a promising capacity to be further extended towards more realistic scales. However, it is difficult to describe a truly 3-D phenomenon like cellular scale drying phenomena by means of a 2-D approach. Thus, in order to approximate the morphological changes of cellular scale food-plant drying phenomena in a more detailed manner, there is a requirement to extend that approach into the 3-D level. In addition, there are conceptual constraints in using the Discrete Element Method (DEM) to represent the cell wall membrane in a completely meshfree numerical model. The literature suggests that conceptually, a Coarse-Grained (CG) approach could be more suited for this application, as there is a stronger conceptual and fundamental matching in an SPH-CG coupling than in an SPH-DEM coupling. Within this background, this investigation aimed to develop a 3-D Smoothed Particle Hydrodynamics (SPH) and Coarse Grained method (CG) coupled numerical model, which could successfully approximate the morphological behaviour of foodplant cells during drying. Initially, the fundamentals of microscale plant cellular drying phenomena were studied. The applicability of a coupled SPH-CG 3-D approach was evaluated through a basic 3-D plant cell drying model. Next, an experimental investigation was carried out to observe the real morphological changes taking place in plant cellular structure during drying. Through the learning gleaned from both the basic numerical and experimental studies, an improved 3-D SPH-CG cell drying model was developed. The 3-D nature of this model allows it to predict the morphological changes on a more realistic scale compared to the previous 2-D models developed using a SPH-DEM coupling. The numerical results are found to be well comparable, both qualitatively and quantitatively, with the experimental findings. As the next step, the developed 3-D numerical approach was successfully applied to model different types of food-plant cells (e.g. apple, potato, grape and carrot). The agreement between the model predictions and the experimental findings was found to be favourable for all four food-plant categories selected. The 3-D SPH-CG numerical model investigated in this study can successfully model dryness states of food-plant cells in a larger moisture content range with stable results compared to the recently reported Finite Element Modelling (FEM)-based and meshfree-based plant cell drying models. The computational accuracy of the numerical modelling scheme has been maintained at a high value through limiting the percentage model consistency error to less than 1%. This developed 3-D model will provide a source of guidance for industrial practitioners to optimise food drying operations in terms of final product quality, nutritious value and overall process performance. In addition, the developed computational framework has potential future applications in modelling a wide range of plant cells and animal cells.

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Helbling, Marc. "Sculpture virtuelle par système de particules." Thesis, Rouen, INSA, 2010. http://www.theses.fr/2010ISAM0030/document.

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La 3D s'impose comme un nouveau média dont l'adoption généralisée passe par la conception d'outils, accessibles au grand public, de création et de manipulation de formes tridimensionnelles quelconques. Les outils actuels reposent fortement sur la modélisation sous-jacente des formes, généralement surfacique, et sont alors peu intuitifs ou limitatifs dans l'expressivité offerte à l'utilisateur.Nous souhaitons, dans ces travaux, définir une approche ne présentant pas ces défauts et permettant à l'utilisateur de se concentrer sur le processus créatif. En nous inspirant de l'utilisation séculaire de l'argile, nous proposons une approche modélisant la matière sous forme lagrangienne.Une forme est ainsi décrite par un système de particules, où chaque particule représente un petit volume du volume global.Dans ce cadre lagrangien, la méthode Smoothed Particle Hydrodynamics (SPH) permet l'approximation de grandeurs physiques en tout point de l'espace. Nous proposons alors une modélisation de matériaux à deux couches, l'une décrivant la topologie et l'autre décrivant la géométrie du système global.La méthode SPH permet, entre autres, d'évaluer la densité de matière. Ceci nous permet de définir une surface implicite basée sur les propriétés physiques du système de particules pour redonner un aspect continu à la matière.Ces matériaux peuvent alors être manipulés au moyen d'interactions locales reproduisant le maniement de la pâte à modeler, et de déformations globales. L'intérêt de notre approche est démontrée par plusieurs prototypes fonctionnant sur des stations de travail standard ou dans des environnements immersifs
3D is emerging as a new media. Its widespread adoption requires the implementation of userfriendly tools to create and manipulate three-dimensional shapes. Current softwares heavily rely on underlying shape modeling, usually a surfacic one, and are then often counter-intuitive orlimiting. Our objective is the design of an approach alleviating those limitations and allowing the user to only focus on the process of creating forms. Drawing inspiration from the ancient use of clay,we propose to model a material in a lagrangian description. A shape is described by a particles system, where each particle represents a small fraction of the total volume of the shape. In this framework, the Smoothed Particle Hydrodynamics method enables to approximate physical values anywhere in space. Relying on this method, we propose a modeling of material with two levels, one level representing the topology and the other one describing local geometry of the shape.The SPH method especially enables to evaluate a density of matter. We use this property todefine an implicit surface based on the physical properties of the particles system to reproduce the continuous aspect of matter. Those virtual materials can then be manipulated locally through interactions reproducing the handling of dough in the real world or through global shape deformation. Our approach is demonstrated by several prototypes running either on typical desktop workstation or in immersive environment system

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TORTORELLA, ALFONSO GIUSEPPE. "Deformations of coisotropic submanifolds in Jacobi manifolds." Doctoral thesis, 2017. http://hdl.handle.net/2158/1077777.

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In this thesis, we investigate deformation theory and moduli theory of coisotropic submanifolds in Jacobi manifolds. Originally introduced by Kirillov as local Lie algebras with one dimensional fibers, Jacobi manifolds encompass, unifying and generalizing, locally conformal symplectic manifolds, locally conformal Poisson manifolds, and non-necessarily coorientable contact manifolds. We attach an L-infinity-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), and Le-Oh (locally conformal symplectic case). As a completely new case we also associate an L-infinity-algebra with any coisotropic submanifold in a contact manifold. The L-infinity-algebra of a coisotropic submanifold S controls the formal coisotropic deformation problem of S, even under Hamiltonian equivalence, and provides criteria both for the obstructedness and for the unobstructedness at the formal level. Additionally we prove that if a certain condition ("fiberwise entireness") is satisfied then the L-infinity-algebra controls the non-formal coisotropic deformation problem, even under Hamiltonian equivalence. We associate a BFV-complex with any coisotropic submanifold in a Jacobi manifold. Our construction extends an analogous construction by Schatz in the Poisson setting, and in particular it also applies in the locally conformal symplectic/Poisson setting and the contact setting. Unlike the L-infinity-algebra, we prove that, with no need of any restrictive hypothesis, the BFV-complex of a coisotropic submanifold S controls the non-formal coisotropic deformation problem of S, even under both Hamiltonian equivalence and Jacobi equivalence. Notwithstanding the differences there is a close relation between the approaches to the coisotropic deformation problem via L-infinity-algebra and via BFV-complex. Indeed both the L-infinity-algebra and the BFV-complex of a coisotropic submanifold S provide a cohomological reduction of S. Moreover they are L-infinity quasi-isomorphic and so they encode equally well the moduli space of formal coisotropic deformations of S under Hamiltonian equivalence. In addition we exhibit two examples of coisotropic submanifolds in the contact setting whose coisotropic deformation problem is obstructed at the formal level. Further we provide a conceptual explanation of this phenomenon both in terms of the L-infinity-algebra and in terms of the BFV-complex.

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Books on the topic "Smooth deformations"

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Abbes, Ahmed, Michel Gros, and Takeshi Tsuji. The p-adic Simpson Correspondence (AM-193). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691170282.001.0001.

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The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra—namely Higgs bundles. This book undertakes a systematic development of the theory following two new approaches. It mainly focuses on generalized representations of the fundamental group that are p-adically close to the trivial representation. The first approach relies on a new family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J. M. Fontaine. The second approach introduces a crystalline-type topos and replaces the notion of Higgs bundles with that of Higgs isocrystals. The book shows the compatibility of the two constructions and the compatibility of the correspondence with the natural cohomologies. The last part of the book contains results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost étale extensions and a chapter devoted to the Faltings topos. Though this topos is the general framework for Faltings' approach in p-adic Hodge theory, it remains relatively unexplored.

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Book chapters on the topic "Smooth deformations"

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Ballico, Edoardo. "On the Hilbert Scheme of Curves in a Smooth Quadric." In Deformations of Mathematical Structures, 127–32. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2643-1_11.

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Ledyaev, Yu S., and Qiji J. Zhu. "Techniques for Nonsmooth Analysis on Smooth Manifolds II: Deformations and Flows." In Optimal Control, Stabilization and Nonsmooth Analysis, 299–311. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-39983-4_19.

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Altmann, Klaus, and Lars Kastner. "Negative Deformations of Toric Singularities that are Smooth in Codimension Two." In Bolyai Society Mathematical Studies, 13–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39131-6_1.

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Heldmann, Stefan, Thomas Polzin, Alexander Derksen, and Benjamin Berkels. "An image registration framework for sliding motion with piecewise smooth deformations." In Lecture Notes in Computer Science, 335–47. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18461-6_27.

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Ruas, Vitoriano. "Optimal Calculation of Solid-Body Deformations with Prescribed Degrees of Freedom over Smooth Boundaries." In Advanced Structured Materials, 695–704. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72440-9_37.

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Cheng, Ho-Lun, and Ke Yan. "Mesh Deformation of Dynamic Smooth Manifolds with Surface Correspondences." In Mathematical Foundations of Computer Science 2010, 677–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15155-2_59.

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Ogden, R. W. "Non-Smooth Changes in Elastic Material Properties under Finite Deformation." In Nonconvex Optimization and Its Applications, 277–99. Boston, MA: Springer US, 2001. http://dx.doi.org/10.1007/978-1-4613-0275-9_13.

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Boyer, Philip, Sean LeBlanc, and Chris Joslin. "Smoothed Particle Hydrodynamics Applied to Cartilage Deformation." In GPU Computing and Applications, 151–65. Singapore: Springer Singapore, 2014. http://dx.doi.org/10.1007/978-981-287-134-3_10.

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Yan, Ke, and Ho-Lun Cheng. "On Simplifying Deformation of Smooth Manifolds Defined by Large Weighted Point Sets." In Computational Geometry and Graphs, 150–61. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-45281-9_15.

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Somphone, Oudom, Benoit Mory, Sherif Makram-Ebeid, and Laurent Cohen. "Prior-Based Piecewise-Smooth Segmentation by Template Competitive Deformation Using Partitions of Unity." In Lecture Notes in Computer Science, 628–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-88690-7_47.

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Conference papers on the topic "Smooth deformations"

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Rusev, Hristian, Ivan Buliev, and Jordan Kolev. "Identification of deformations on smooth surfaces." In the 13th International Conference. New York, New York, USA: ACM Press, 2012. http://dx.doi.org/10.1145/2383276.2383318.

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Leyton, Michael. "Inferring smooth processes on shape." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.thd3.

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Rules are elaborated by which curvature extrema can be used to infer deforming processes that have acted on a 2-D shape or a 3-D shape parametrized as a generalized cylinder. It is claimed that the inference of processes from extrema is mediated by a local symmetry analysis, but we find that the Blum symmetric axis transform and the Brady smooth local symmetry give incorrect results in 50 % of the cases. Thus we develop an alternative local symmetry analysis which overcomes this problem and yields a diagram of processes that have acted on the shape. We then develop a process-grammar of only six types of operation to express the deformational relationship between any two shapes such that one shape is described as the extrapolation of processes inferred in the other. Formalistically, the grammar expresses any deformation as a transformation of process-diagrams produced by the symmetry analysis. Functionally, the grammar can be regarded as explaining the curvature extrema in terms of a sequence of psychologically meaningful deformations. It is also found that the grammar organizes shape space into several intersecting strata-systems, each of which represents a history of successive modification by process extrapolation.

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Chatterjee, Abhishek, Alan Bowling, Hamid Ghaednia, and Matthew Brake. "Approximate Force History Estimation in Multi-Point Non-Smooth Collisions." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-98143.

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Abstract Collisions between hard objects cause abrupt changes in the velocities of the system, which are characterized by very large contact forces over very small time-durations. A common approach in the analysis of such collisions is to describe the system velocities using an impulse-momentum based relationship. The time-duration of impact and the deformations at the contact points are usually assumed to be negligible in such impact models, and the system velocities are evolved in terms of the impulses on the system. This type of impact models are usually relevant for hard (rigid) impacts, where deformations at the contact points can be considered negligible. However, these models cannot determine the forces during the impact process. The main objective of this work is to reformulate the impulse-momentum based model to determine the forces during an impact event, by relaxing the rigidity assumption to allow small deformations at the contact points.

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Gass, Tobias, Leonid Pishchulin, Philippe Dreuw, and Hermann Ney. "Warp that smile on your face: Optimal and smooth deformations for face recognition." In Gesture Recognition (FG 2011). IEEE, 2011. http://dx.doi.org/10.1109/fg.2011.5771442.

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Liao, Jun, W. David Merryman, Yi Hong, John Stella, Simon Watkins, William R. Wagner, and Michael S. Sacks. "Cellular Deformations in Microintegrated Electrospun Poly (Ester Urethane) Urea Scaffolds Under Biaxial Stretch." In ASME 2007 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2007. http://dx.doi.org/10.1115/sbc2007-176726.

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Recently, vascular smooth muscle cells (SMCs) have been electrosprayed concurrently with electrospun biodegradable elastomeric poly (ester urethane) urea (PEUU) to form cell-microintegrated scaffolds [1]. These scaffolds exhibit soft tissue-like elastomeric mechanical properties [2], and are thus promising candidates for repair or replacement of diseased cardiovascular tissues. The level of cellular deformation during in vitro mechanical training will likely influence the extracellular matrix formation. However, these deformations are likely complex and dependent upon both scaffold properties and the cellular interactions with the local fibers. Our objective is to quantify microintegrated cellular deformations in response to biaxial scaffold stretches, using the nuclear aspect ratio (NAR) as an index of overall cellular deformation.

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Iizawa, Daisuke, and Shunji Yamanaka. "Face on a Globe: A Spherical Robot that Appears Lifelike Through Smooth Deformations and Autonomous Movement." In 2022 17th ACM/IEEE International Conference on Human-Robot Interaction (HRI). IEEE, 2022. http://dx.doi.org/10.1109/hri53351.2022.9889453.

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Liu, Yiyan, Sinan Acikgoz, and Harvey Burd. "Terrestrial Laser Scanning based deformation monitoring for masonry buildings subjected to ground movements induced by underground construction." In 5th Joint International Symposium on Deformation Monitoring. Valencia: Editorial de la Universitat Politècnica de València, 2022. http://dx.doi.org/10.4995/jisdm2022.2022.13872.

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Tunnelling and deep excavation activities cause ground movements. Monitoring the influence of these ground movements on nearby surface assets is a major component of urban underground construction projects. Such projects often require large-scale and comprehensive monitoring of nearby buildings to track displacements and identify structural damage. Masonry assets are particularly vulnerable to ground movements due to the low tensile strength of the material; these structures may experience unsightly cracking and structural stability issues. Current monitoring practice for these buildings is labour intensive and cannot fully characterise the response of the assets due to the limited number of measurement points. This paper presents a non-contact monitoring solution using terrestrial laser scan (TLS) data, which develops a modified non-rigid iterative closest point (N-ICP) algorithm. This algorithm optimises the displacement fields by establishing point to point correspondences that penalise non-smooth deformations and deviations from landmarks (i.e. feature points where displacements are known). The algorithm outputs rich 3D displacement fields that can be used in established assessment and decision-making procedures. To demonstrate this algorithm's ability to estimate 3D displacement fields from point clouds, several synthetic datasets are processed in this study. The results demonstrate the algorithm's potential for recovering underlying deformations with the help of landmarks and optimisation weightings.

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Storti, Duane W., Mark A. Ganter, George M. Turkiyyah, and Cole Brooking. "Skeleballs: Skeleton/Metaball Hybrid Solid Models for Automated Shape Generation." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dac-14289.

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Abstract In this paper, we describe a solid modeling representation that incorporates metaballs and skeletons to create a hybrid representation called “skeleballs”. Skeleballs support the kind of robust editing and range of shape deformation needed for automated shape generation. Metaballs are an implicit representation based on blended spherical objects; they provide flexibility and smooth localized deformations. Skeletons are reduced-dimensional shape descriptors that capture essential geometric and topological characteristics and enable construction of a well-behaved implicit solid representation. Robust deformation is attained by superposing metaball functions on a skeleton-based implicit representation. Automated local parametrization of the design space is obtained by simply placing metaballs at points distributed across the surface and employing their amplitudes as search parameters. The hybrid skeletal/metaball representation ensures solid validity under general deformation operations, readily supports topological changes, provides for the generation of shape parametrizations, and supports multi-resolution editing. The effectiveness of the hybrid representation is demonstrated in the context of an automated shape generation example.

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Abdulhameed, Diana, Michael Martens, J. J. Roger Cheng, and Samer Adeeb. "Investigation of Smooth Pipe Bends Under the Effect of In-Plane Bending." In ASME 2017 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/pvp2017-65818.

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Pipe bends are frequently used to change the direction in pipeline systems and they are considered one of the critical components as well. Bending moments acting on the pipe bends result from the surrounding environment, such as thermal expansions, soil deformations, and external loads. As a result of these bending moments, the initially circular cross-section of the pipe bend deforms into an oval shape. This consequently changes the pipe bend’s flexibility leading to higher stresses compared to straight pipes. Past studies considered the case of a closing in-plane bending moment on 90-degree pipe bends and proposed factors that account for the increased flexibility and high-stress levels. These factors are currently presented in the design codes and known as the flexibility and stress intensification factors (SIF). This paper covers the behaviour of an initially circular cross-sectional smooth pipe bend of uniform thickness subjected to in-plane opening/closing bending moment. ABAQUS FEA software is used in this study to model pipe bends with different nominal pipe sizes, bend angles, and various bend radius to cross-sectional pipe radius ratios. A comparison between the CSA-Z662 code and the FEA results is conducted to investigate the applicability of the currently used SIF factor presented in the design code for different loading cases. The study showed that the in-plane bending moment direction acting on the pipe has a significant effect on the stress distribution and the flexibility of the pipe bend. The variation of bend angle and bend radius showed that it affects the maximum stress drastically and should be considered as a parameter in the flexibility and SIF factors. Moreover, the CSA results are found to be un-conservative in some cases depending on the bend angle and direction of the applied bending moment.

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Cramer, Nick, and M. Teodorescu. "Analysis of Polymer Micro Fibers: A Smoothed Particle Hydrodynamics Approach." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12702.

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The nanofibrillar array of a Gecko inspired Synthetic Adhesive (GSA) adheres to a surfaces when fibers undergo deformations of both the stems and the tip. The GSA’s show interesting changes in effectiveness dependent on use patterns, preloads, and material types, amongst other parameters. The polymers fibers also, display plastic creep even at relatively low strain rates and stresses below plastic yield. Therefore, a suitable numerical solution, which predicts the fiber geometry, must consider not only the initial shape of the fiber, but also the fiber progressive deformation (local and global) and the influence this has on the local mechanical properties (elastic, viscoelastic, strain hardening/softening and plastic flow). The localized mechanical properties are difficult to calculate using traditional methods because of the nonlinearities associated with viscoelastic effects, the large deformations, and the variable boundary conditions. However, the variable boundary conditions make a mesh free modeling method ideal. Smooth Particle Hydrodynamics (SPH) is one of the most prominent mesh free Lagrange method, which takes a set particle and uses particle kinematics, density gradients, and material properties to determine the interaction between particles. As a first step towards modeling the behavior of a fibrillar adhesive surface, this paper focuses on the modeling of a single polymer fiber. The single micro fiber will be subjected to similar conditions to what it would see as part of an array. This will allow the SPH method of simulation to be critiqued for its further use in simulating polymer microfiber. While the localized mechanical properties of the polymer, which depend on viscoelastic effect and other nonlinear phenomena, are difficult to determine analytically. The modeling technique can be compared to standard analytical methods for global parameters. It was found that the SPH method was able to appropriately model the effect of various scenarios on the mechanical deformation and resonance of a polymer microfiber. Further more the friction force for the fiber on glass was calculated as were the localized fiber velocities and stresses.

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