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Journal articles on the topic 'Shape deformation'

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Author: Grafiati

Published: 10 December 2022

Last updated: 20 February 2023

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1

CHEN, CHAO, and HO-LUN CHENG. "SUPERIMPOSING VORONOI COMPLEXES FOR SHAPE DEFORMATION." International Journal of Computational Geometry & Applications 16, no. 02n03 (June 2006): 159–74. http://dx.doi.org/10.1142/s0218195906001987.

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Edelsbrunner et al. defined a framework of shape deformations with shapes bounded by skin manifold. We prove that the infinitely many synthesized shapes in the deformation sequence share finitely many common Voronoi complexes. Therefore, we propose a new algorithm to compute the common Voronoi complexes efficiently for the deformations, and use these common complexes to compute the synthesized shapes in real time. This makes generating, visualizing, and customizing shape deformations feasible.

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2

Piras, Paolo, Valerio Varano, Maxime Louis, Antonio Profico, Stanley Durrleman, Benjamin Charlier, Franco Milicchio, and Luciano Teresi. "Transporting Deformations of Face Emotions in the Shape Spaces: A Comparison of Different Approaches." Journal of Mathematical Imaging and Vision 63, no. 7 (May 18, 2021): 875–93. http://dx.doi.org/10.1007/s10851-021-01030-6.

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AbstractStudying the changes of shape is a common concern in many scientific fields. We address here two problems: (1) quantifying the deformation between two given shapes and (2) transporting this deformation to morph a third shape. These operations can be done with or without point correspondence, depending on the availability of a surface matching algorithm, and on the type of mathematical procedure adopted. In computer vision, the re-targeting of emotions mapped on faces is a common application. We contrast here four different methods used for transporting the deformation toward a target once it was estimated upon the matching of two shapes. These methods come from very different fields such as computational anatomy, computer vision and biology. We used the large diffeomorphic deformation metric mapping and thin plate spline, in order to estimate deformations in a deformational trajectory of a human face experiencing different emotions. Then we use naive transport (NT), linear shift (LS), direct transport (DT) and fanning scheme (FS) to transport the estimated deformations toward four alien faces constituted by 240 homologous points and identifying a triangulation structure of 416 triangles. We used both local and global criteria for evaluating the performance of the 4 methods, e.g., the maintenance of the original deformation. We found DT, LS and FS very effective in recovering the original deformation while NT fails under several aspects in transporting the shape change. As the best method may differ depending on the application, we recommend carefully testing different methods in order to choose the best one for any specific application.

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3

Shim, H. B., and K. C. Son. "Optimal Blank Design for the Drawings of Arbitrary Shapes by the Sensitivity Method." Journal of Engineering Materials and Technology 123, no. 4 (July 24, 2000): 468–75. http://dx.doi.org/10.1115/1.1398082.

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The sensitivity method is employed in this work in order to find initial blank shapes which result in desired shapes after deformation. By assuming the final deformation shape be the drawn cup with uniform trimming allowance at the flange, the corresponding initial blank which gives the desired final shape after deformation has been found. With the aid of a well-known dynamic explicit analysis code PAM-STAMP, shape sensitivity has been obtained. To get the shape sensitivity numerically, a couple of deformation processes have been analyzed. Drawings of trapezoidal cup, oil pan, and Audi front door panel, the benchmark test problem of Numisheet ’99, have been chosen as the examples. In every case the optimal blank shape has been obtained after only a few modifications without a predetermined deformation path. With the predicted optimal blank, both computer simulation and experiment are performed. Excellent agreements are obtained between simulation and experiment in every case. Through this investigation, the sensitivity method is found to be very effective in the design of arbitrary shaped drawing processes.

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4

Zhu, Chenyang, Renjiao Yi, Wallace Lira, Ibraheem Alhashim, Kai Xu, and Hao Zhang. "Deformation-driven shape correspondence via shape recognition." ACM Transactions on Graphics 36, no. 4 (July 20, 2017): 1–12. http://dx.doi.org/10.1145/3072959.3073613.

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5

Zhang, H., A. Sheffer, D. Cohen-Or, Q. Zhou, O. van Kaick, and A. Tagliasacchi. "Deformation-Driven Shape Correspondence." Computer Graphics Forum 27, no. 5 (July 2008): 1431–39. http://dx.doi.org/10.1111/j.1467-8659.2008.01283.x.

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6

Gao, Lin, GuoXin Zhang, and YuKun Lai. "L p shape deformation." Science China Information Sciences 55, no. 5 (March 16, 2012): 983–93. http://dx.doi.org/10.1007/s11432-012-4574-y.

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7

Cuno Parari, Alvaro E., Claudio Esperança, and Antonio A. F. Oliveira. "Shape-sensitive MLS deformation." Visual Computer 25, no. 10 (May 19, 2009): 911–22. http://dx.doi.org/10.1007/s00371-009-0369-6.

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8

Yu, Hongchuan, and Jian J. Zhang. "Topology preserved shape deformation." Visual Computer 28, no. 6-8 (April 18, 2012): 849–58. http://dx.doi.org/10.1007/s00371-012-0708-x.

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9

Cheng, Ho-Lun, Herbert Edelsbrunner, and Ping Fu. "Shape space from deformation." Computational Geometry 19, no. 2-3 (July 2001): 191–204. http://dx.doi.org/10.1016/s0925-7721(01)00021-9.

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10

Frémond, Michel. "Shape change and deformation." Meccanica 51, no. 12 (October 25, 2016): 2949–55. http://dx.doi.org/10.1007/s11012-016-0557-1.

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11

Crum, W. R., F. Danckaers, T. Huysmans, M. C. Cotel, S. Natesan, M. M. Modo, J. Sijbers, S. C. R. Williams, S. Kapur, and A. C. Vernon. "Chronic exposure to haloperidol and olanzapine leads to common and divergent shape changes in the rat hippocampus in the absence of grey-matter volume loss." Psychological Medicine 46, no. 15 (August 12, 2016): 3081–93. http://dx.doi.org/10.1017/s0033291716001768.

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BackgroundOne of the most consistently reported brain abnormalities in schizophrenia (SCZ) is decreased volume and shape deformation of the hippocampus. However, the potential contribution of chronic antipsychotic medication exposure to these phenomena remains unclear.MethodWe examined the effect of chronic exposure (8 weeks) to clinically relevant doses of either haloperidol (HAL) or olanzapine (OLZ) on adult rat hippocampal volume and shape using ex vivo structural MRI with the brain retained inside the cranium to prevent distortions due to dissection, followed by tensor-based morphometry (TBM) and elastic surface-based shape deformation analysis. The volume of the hippocampus was also measured post-mortem from brain tissue sections in each group.ResultsChronic exposure to either HAL or OLZ had no effect on the volume of the hippocampus, even at exploratory thresholds, which was confirmed post-mortem. In contrast, shape deformation analysis revealed that chronic HAL and OLZ exposure lead to both common and divergent shape deformations (q = 0.05, FDR-corrected) in the rat hippocampus. In particular, in the dorsal hippocampus, HAL exposure led to inward shape deformation, whereas OLZ exposure led to outward shape deformation. Interestingly, outward shape deformations that were common to both drugs occurred in the ventral hippocampus. These effects remained significant after controlling for hippocampal volume suggesting true shape changes.ConclusionsChronic exposure to either HAL or OLZ leads to both common and divergent effects on rat hippocampal shape in the absence of volume change. The implications of these findings for the clinic are discussed.

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12

Korentz, Jacek. "Influence of Geometric Imperfections on Buckling Resistance of Reinforcing Bars during Inelastic Deformation." Materials 13, no. 16 (August 6, 2020): 3473. http://dx.doi.org/10.3390/ma13163473.

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This paper presents the results of numerical simulations on three main factors and their influence on the buckling resistance of reinforcing bars and on their behaviour in the range of postcritical deformations. These three factors are the shape of initial deformation, the amplitude of geometric imperfection and the slenderness of bars. The analysis was made of bars fixed on both sides for three initial shapes of deformation between adjacent stirrups, four amplitudes of geometric imperfections and eight bar slendernesses. The results of the numerical analyses carried out showed that the factors analysed have a very high influence on the inelastic buckling of the bars. The initial deformation shape, the radius of curvature and the slenderness of the bars have a significant influence on the buckling resistance of these bars and their longitudinal and transverse deformations. The research demonstrates that bars which are bent or compressed initially have a smaller resistance to buckling compared to straight bars, as the amplitude of geometric imperfections increases and the slenderness of the members increases. However, for the deformation shape of the bars, which is accompanied by shear forces, the drop in the buckling resistance of the members is small, and resistance to buckling for items with a small slenderness was higher than that of straight bars.

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13

Liu, Qiang, Xiang Qian Yin, Bo Duan, Sheng Ying Shong, and Yao Rong Feng. "Study on Hot Deformation Behavior of TiNiFe Shape Memory Alloy." Advanced Materials Research 393-395 (November 2011): 312–18. http://dx.doi.org/10.4028/www.scientific.net/amr.393-395.312.

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The hot deformation behavior of TiNiFe shape memory alloy were investigated by isothermal single-pass compression on Gleeble-3500 thermal simulator at the temperature range of 800°C to 1050°C and the strain rate range of 0.01s-1 to 10s-1. The results showed that the true stress-strain curves of TiNiFe shape memory alloy increase with decreasing deformation temperature and increasing strain rate, which indicating that the hot deformations of these conditions are dynamic recrystallization. The hot compression deformation of TiNiFe shape memory alloy can be represented by Arrhenius model. The constitutive equation of TiNiFe shape memory alloy under hot compression deformation is calculated by a linear regression analysis. The activation energy for hot deformation of the experimental steel is 202.54kJ/mol.

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14

Assimakis, I. E., Dennis Bonatsos, Andriana Martinou, S. Sarantopoulou, S. Peroulis, T. J. Mertzimekis, and N. Minkov. "Magic numbers for shape coexistence." HNPS Proceedings 26 (April 1, 2019): 9. http://dx.doi.org/10.12681/hnps.1789.

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The increasing deformation in atomic nuclei leads to the change of the classical magic numbers (2,8,20,28,50,82…) which dictate the arrangement of nucleons in complete shells. The magic numbers of the three-dimensional harmonic oscillator (2,8,20,40,70,…) emerge at deformations around ε=0.6. At lower deformations the two sets of magic numbers antagonize, leading to shape coexistence. A quantitative investigation is performed using the usual Nilsson model wave functions and the recently introduced proxy–SU(3) scheme.

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15

Nawab, Yasir, Frédéric Jacquemin, Pascal Casari, Nicolas Boyard, and Vincent Sobotka. "Shape Evolution of Carbon Epoxy Laminated Composite during Curing." Key Engineering Materials 504-506 (February 2012): 1145–50. http://dx.doi.org/10.4028/www.scientific.net/kem.504-506.1145.

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The laminated composites undergo chemical deformation on cross-linking and thermal deformation while cooling during fabrication process. In thin laminates, due to large displacements and complex shape evolution, these deformations can only be explained by using nonlinear strain-displacement relationship. In the present article, the thermal and chemical deformations occurring in carbon/epoxy laminates are calculated together for the first time by considering a non-linear geometrical approach, to understand the evolution of shape and hence residual stresses induced during fabrication process.

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16

Da, Kang, Wang Yongliang, Zhong Jingjun, and Liu Zihao. "Pre-Deformation Method for Manufactured Compressor Blade Based on Load Incremental Approach." International Journal of Turbo & Jet-Engines 37, no. 3 (August 27, 2020): 259–65. http://dx.doi.org/10.1515/tjj-2017-0024.

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AbstractThe blade deformation caused by aerodynamic and centrifugal loads during operating makes blade configurations different from their stationary shape. Based on the load incremental approach, a novel pre-deformation method for cold blade shape is provided in order to compensate blade deformation under running. Effect of nonlinear blade stiffness is considered by updating stiffness matrix in response to the variation of blade configuration when calculating deformations. The pre-deformation procedure is iterated till a converged cold blade shape is obtained. The proposed pre-deformation method is applied to a transonic compressor rotor. Effect of load conditions on blade pre-deformation is also analyzed. The results show that the pre-deformation method is easy to implement with fast convergence speed. Neither the aerodynamic load nor centrifugal load can be neglected in blade pre-deformation.

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17

Safta, Voicu Ioan, and Voicu Ionel Safta. "Plastic Deformation and Fracture Initiation Typology Analysis under a Triaxial Tensile State of Stress Using the Quantitative Assessment of Microstructural Changes." Applied Mechanics and Materials 267 (December 2012): 17–24. http://dx.doi.org/10.4028/www.scientific.net/amm.267.17.

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The paper approaches the influence problems, due to increase in plastic deformation and fracture initiation, upon the multi-axial stress state. The experiments are based on determining the geometric changes of stress concentrators and the increase of granulation anisotropy of unalloyed steel related to the plastic deformation. In order to evince the changes in the concentrators shape, at high levels of deformation, an average parameter of shape was introduced. The 3D Complex representations, based on measurements have indicated the dependence of longitudinal specific deformations for the deformation degree, as well as sectional position in the area under measurement. The variation functions of the longitudinal specific deformation of the medium average shape parameter showed an opposed linear dependence at the top of the tension concentrator relatively to the tested specimen axis. Taking into consideration the average parameter of shape, the experimental correlations were more conclusive. Evaluating the microstructural state of stress concentrators, the deformations have revealed distinct fracture typologies, influenced by the specific state of deformation. By synthesizing the information regarding the fracture initiation, an typological diagram of fracture initiation TDI was elaborated. In this diagram, representing the cross section of the specimens, for different values of the stress concentrator factor, six quasi-quantitative zones have been analyzed.

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18

Wu, Hao, and Yoji Okabe. "OS08F115 Shape-controllable Lightweight Actuator Structure with Deformation Monitoring Sensors." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2011.10 (2011): _OS08F115——_OS08F115—. http://dx.doi.org/10.1299/jsmeatem.2011.10._os08f115-.

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19

Shim, H., and K. Son. "Optimal blank shape design by the iterative sensitivity method." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 216, no. 6 (June 1, 2002): 867–78. http://dx.doi.org/10.1243/095440502320192996.

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In order to realize net shape manufacturing of drawn parts, determination of the optimal blank shape plays a key role in the process development stage. The sensitivity method has many successful applications of the optimal blank design. In the method, the undeformed blank shape is modified iteratively by moving boundary nodes in the initial moving direction until the deformed shape satisfies a target shape. To determine the magnitude of the movement of the nodes, both the shape error measured at the deformed shape and the shape sensitivity defined by the effect of initial shape change on the final shape are utilized. To obtain shape sensitivity for each boundary node numerically, a couple of deformation processes has been analysed at each design stage with an original blank and offset blank. Drawings of the trapezoidal cup, cross-shaped cup and oil pan have been chosen as examples to verify the sensitivity method. Both the cross-shaped cup and oil pan are examples of complicated material flow during forming while the trapezoidal cup is of a simple flow. For every case the optimal blank shape has been obtained after only a few modifications without any predetermined deformation path. With the predicted optimal blank, a corresponding experiment has been carried out. The deformed shapes of the experiment almost exactly coincide with the desired target shape in every case. Through the investigation, the sensitivity method is found to be excellent in the blank design of arbitrary shaped drawing products.

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20

Nagata, Yuichi, and Shinji Imahori. "Escherization with Large Deformations Based on As-Rigid-As-Possible Shape Modeling." ACM Transactions on Graphics 41, no. 2 (April 30, 2022): 1–16. http://dx.doi.org/10.1145/3487017.

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Escher tiling is well known as a tiling that consists of one or a few recognizable figures, such as animals. The Escherization problem involves finding the most similar shape to a given goal figure that can tile the plane. However, it is easy to imagine that there is no similar tile shape for complex goal shapes. This article devises a method for finding a satisfactory tile shape in such a situation. To obtain a satisfactory tile shape, the tile shape is generated by deforming the goal shape to a considerable extent while retaining the characteristics of the original shape. To achieve this, both goal and tile shapes are represented as triangular meshes to consider not only the contours but also the internal similarity of the shapes. To measure the naturalness of the deformation, energy functions based on traditional as-rigid-as-possible shape modeling are incorporated into a recently developed framework of the exhaustive search of the templates for the Escherization problem. The developed algorithms find satisfactory tile shapes with natural deformations for fairly complex goal shapes.

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21

Tohgo, Keiichiro, Yuki Tochigi, Hiroyasu Araki, and Yoshinobu Shimamura. "Deformation Behavior of Shape-Control Plate Using NiTi Shape Memory Alloy Wire." Key Engineering Materials 340-341 (June 2007): 1205–10. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.1205.

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This study deals with deformation behavior of a shape-control plate which consists of an aluminum alloy plate and a pre-strained NiTi shape memory alloy (SMA) wire. The shape-control plate exhibits reciprocating bending deformation by heating and cooling. Deformation behavior of the plate is examined by electric heating and natural cooling of the SMA wire. Experimental results exhibit that the bending deformation of the plate is considerably stable over more than two thousand heating-cooling cycles and can be well controlled by electric current. Furthermore, the deformation behavior of the plate is analyzed by a simple beam theory for the aluminum alloy plate and Brinson’s one-dimensional constitutive model for the SMA wire taking account of not only martensitic transformation but also rhombohedral-phase transformation. Numerical results describe well the deformation behavior of the shape-control plate observed in the experiments.

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22

Chen, He Chun. "Shearing Deformation Research on Annular Woven Shaped Fabrics." Advanced Materials Research 821-822 (September 2013): 1175–79. http://dx.doi.org/10.4028/www.scientific.net/amr.821-822.1175.

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shaped weaving is a method which using unequal length of the warp and weft to weave shaped fabrics on the ordinary weaving frames. After multi-layer wound and resin solidified, these shaped fabrics can be formed into whole three-dimensional preform parts, such as oval-shaped pressure vessels, conical tube, ring, etc. because the batch roller on frame is cone frustum, not cylinder, which makes the shear deformation happens when tuck-in fabrics. In this paper, through the establishment of shear deformation model of the annular shaped woven fabric, and theoretical derivation on shear deformation, then calculate the weft deformation angle by theoretical formula. By contrast, we found the calculated shear deformation angle is very near to that measured on the shape fabrics. This proves the shear deformation model and theoretical derivation are correct, accord with the real situation of the shear deformation. Key words: shape woven fabric, shear deformation, theory model,shear angle

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23

GUO, Ruiqi, Shinichiro OMACHI, and Hirotomo ASO. "Segmenting Shape Using Deformation Information." IEICE Transactions on Information and Systems E92-D, no. 6 (2009): 1296–303. http://dx.doi.org/10.1587/transinf.e92.d.1296.

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24

Gao, Lin, Jie Yang, Yi-Ling Qiao, Yu-Kun Lai, Paul L. Rosin, Weiwei Xu, and Shihong Xia. "Automatic unpaired shape deformation transfer." ACM Transactions on Graphics 37, no. 6 (January 10, 2019): 1–15. http://dx.doi.org/10.1145/3272127.3275028.

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25

Levi, Zohar, and David Levin. "Shape Deformation via Interior RBF." IEEE Transactions on Visualization and Computer Graphics 20, no. 7 (July 2014): 1062–75. http://dx.doi.org/10.1109/tvcg.2013.255.

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26

Arguillère, Sylvain, Emmanuel Trélat, Alain Trouvé, and Laurent Younès. "Shape deformation and optimal control." ESAIM: Proceedings and Surveys 45 (September 2014): 300–307. http://dx.doi.org/10.1051/proc/201445031.

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27

Demisse, Girum Getachew, Djamila Aouada, and Bjorn Ottersten. "Deformation Based Curved Shape Representation." IEEE Transactions on Pattern Analysis and Machine Intelligence 40, no. 6 (June 1, 2018): 1338–51. http://dx.doi.org/10.1109/tpami.2017.2711607.

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28

Sumner, Robert W., Johannes Schmid, and Mark Pauly. "Embedded deformation for shape manipulation." ACM Transactions on Graphics 26, no. 3 (July 29, 2007): 80. http://dx.doi.org/10.1145/1276377.1276478.

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29

Sako, Yusaku, and Kikuo Fujimura. "Shape similarity by homotopic deformation." Visual Computer 16, no. 1 (February 2000): 47–61. http://dx.doi.org/10.1007/s003710050006.

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30

Yang, Wenwu, Jieqing Feng, and Xiaogang Jin. "Shape deformation with tunable stiffness." Visual Computer 24, no. 7-9 (May 29, 2008): 495–503. http://dx.doi.org/10.1007/s00371-008-0230-3.

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31

Weber, Ofir, Olga Sorkine, Yaron Lipman, and Craig Gotsman. "Context-Aware Skeletal Shape Deformation." Computer Graphics Forum 26, no. 3 (September 2007): 265–74. http://dx.doi.org/10.1111/j.1467-8659.2007.01048.x.

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32

Yu, Hai Liang, and Xiang Hua Liu. "FEM Simulation of Multipass Shape Rolling Processes." Advanced Materials Research 148-149 (October 2010): 1–6. http://dx.doi.org/10.4028/www.scientific.net/amr.148-149.1.

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The updating geometric method was proposed to simulate the deformation behavior of workpiece during multipass shape rolling by using finite element method. Firstly, establish and solve the finite element model of the first pass shape rolling process, then update the geometric shape of workpiece after the first pass and delete rolls of the first pass, establish and mesh rolls of the second pass, modify the boundaries and material parameters of workpiece, and solve its deformation behavior during the second pass shape rolling. With the same steps, its deformation behavior during the following passes rolling could be solved. The method was applied to simulate the deformation behavior of a cube workpiece during six-pass H-beam rolling with split-rolling, and its shapes after every pass rolling process were obtained. Experiments on the deformation behavior of slab during multipass rolling were carried out by using pure lead in an experimental mill. The calculated results are in good agreement with the experimental ones.

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Tohgo, Keiichiro, Yuki Tochigi, Hiroyasu Araki, and Yoshinobu Shimamura. "OS17-1-2 Deformation and mechanical response of shape-control plate using NiTi shape memory alloy wire." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2007.6 (2007): _OS17–1–2——_OS17–1–2—. http://dx.doi.org/10.1299/jsmeatem.2007.6._os17-1-2-.

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34

Ma, X. G., and K. Komvopoulos. "Pseudoelasticity and Shape Memory Effects on Deformation Recovery of Indented Titanium-Nickel Alloy Films." Nanoscience and Nanotechnology Letters 11, no. 9 (September 1, 2019): 1313–17. http://dx.doi.org/10.1166/nnl.2019.3000.

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The deformation behavior of shape-memory titanium-nickel (TiNi) alloy films indented by diamond tips of various nominal radius of curvature under different contact loads was investigated by nanoindentation. Pseudoelasticity and shape-memory effect (SME) strongly affected the deformation recovery of the indented films. The effects of tip radius and maximum indentation load on the deformation recovery of austenitic and martensitic TiNi films are interpreted in terms of associated deformation mechanisms controlled by pseudoelasticity, SME, and dislocations. The results reveal the important roles of pseudoelasticity and SME on the capacity of TiNi films to either fully annihilate or partially recover from deformation induced by nanoindentation, illustrating a high potential for applications requiring large reversible deformations.

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Lu, Huanhuan, Baoyi Wu, Xuxu Yang, Jiawei Zhang, Yukun Jian, Huizhen Yan, Dachuan Zhang, Qunji Xue, and Tao Chen. "Actuating Supramolecular Shape Memorized Hydrogel Toward Programmable Shape Deformation." Small 16, no. 48 (November 9, 2020): 2005461. http://dx.doi.org/10.1002/smll.202005461.

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36

Nawab, Yasir, Frédéric Jaquemin, Pascal Casari, Nicolas Boyard, and Vincent Sobotka. "Evolution of chemical and thermal curvatures in thermoset-laminated composite plates during the fabrication process." Journal of Composite Materials 47, no. 3 (February 22, 2012): 327–39. http://dx.doi.org/10.1177/0021998312440130.

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Residual deformations and stresses formation in the thermoset-laminated composite is a frequently studied subject in the recent years. During fabrication, the laminated composites undergo chemical deformation during cross-linking and thermal deformation while cooling. In thin laminates, due to large displacements and complex evolution of shape, these deformations can only be explained by using nonlinear strain–displacement relationship. In the present article, we calculated together for the first time, the thermal and chemical deformations occurring in carbon/epoxy laminates by considering a nonlinear geometrical approach to understand the evolution of shape and hence residual stresses induced during fabrication process. The effect of fibre fraction on the chemical and thermal deformations is studied as well.

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37

Wang, Qixuan. "Optimal Strokes of Low Reynolds Number Linked-Sphere Swimmers." Applied Sciences 9, no. 19 (September 26, 2019): 4023. http://dx.doi.org/10.3390/app9194023.

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Optimal gait design is important for micro-organisms and micro-robots that propel themselves in a fluid environment in the absence of external force or torque. The simplest models of shape changes are those that comprise a series of linked-spheres that can change their separation and/or their sizes. We examine the dynamics of three existing linked-sphere types of modeling swimmers in low Reynolds number Newtonian fluids using asymptotic analysis, and obtain their optimal swimming strokes by solving the Euler–Lagrange equation using the shooting method. The numerical results reveal that (1) with the minimal 2 degrees of freedom in shape deformations, the model swimmer adopting the mixed shape deformation modes strategy is more efficient than those with a single-mode of shape deformation modes, and (2) the swimming efficiency mostly decreases as the number of spheres increases, indicating that more degrees of freedom in shape deformations might not be a good strategy in optimal gait design in low Reynolds number locomotion.

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38

Zhou, Tao, Hui Feng Tan, and Yu Yan Liu. "Shape Recovery Characteristics of Shape Memory Polymers Subjected to Bending." Advanced Materials Research 834-836 (October 2013): 160–64. http://dx.doi.org/10.4028/www.scientific.net/amr.834-836.160.

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Shape recovery is a critical characterization of the Shape Memory Polymers (SMP); so far, there has not been a set of uniform specifications, however, on the deformation recovery characterization of SMP, more exactly, on the shape recovery ratio measurement. A simple and effective experimental method is designed to obtain the shape recovery ratio of SMP; and a series of experiments are carried out to measure the shape recovery ratio of a thermoset shape-memory epoxy resin within the finite bending deformation at various test temperatures. And the results show that the shape recovery ratio and rate of the thin sample are larger than that of the thick one; the deformation curvature has little effect on the shape recovery ratio with the test temperatures over, or below, the glass-transition temperature,Tg, but has significant effect nearTg. The conclusions provide an important basis for the structural design of SMP.

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Jiang, Huan Jun, Yong Ying, and Bin Wang. "Experimental Investigation on Damage Behavior of RC Shear Walls." Advanced Materials Research 250-253 (May 2011): 2407–11. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.2407.

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Low-cycle cyclic loading tests were carried out on seven reinforced concrete shear wall specimens with different design parameters to investigate the damage behavior under earthquakes. The damage features including the damage process, deformations, the maximum crack width and the corresponding residue crack width at different damage state were recorded. According to the experimental data, the influence of axial compressive load ratio, stirrup ratio of the boundary column and cross-section shape on the ductility, carrying capacity, deformation characteristic and seismic damage is analyzed. With the axial compressive load ratio increasing, the carrying capacity and shear effect increase while the ductility and residual crack ratio decrease. With the deformation and damage increasing, the shear effect increases. The shear walls with I-shaped cross-section display more shear effect than those with the cross-section of “—” and “T” shape.

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40

Lohse, Felix, Achyuth Ram Annadata, Eric Häntzsche, Thomas Gereke, Wolfgang Trümper, and Chokri Cherif. "Hinged Adaptive Fiber-Rubber Composites Driven by Shape Memory Alloys—Development and Simulation." Materials 15, no. 11 (May 27, 2022): 3830. http://dx.doi.org/10.3390/ma15113830.

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Adaptive structures based on fiber-rubber composites with integrated Shape Memory Alloys are promising candidates for active deformation tasks in the fields of soft robotics and human-machine interactions. Solid-body hinges improve the deformation behavior of such composite structures. Textile technology enables the user to develop reinforcement fabrics with tailored properties suited for hinged actuation mechanisms. In this work, flat knitting technology is used to create biaxially reinforced, multilayer knitted fabrics with hinge areas and integrated Shape Memory Alloy wires. The hinge areas are achieved by dividing the structures into sections and varying the configuration and number of reinforcement fibers from section to section. The fabrics are then infused with silicone, producing a fiber-rubber composite specimen. An existing simulation model is enhanced to account for the hinges present within the specimen. The active deformation behavior of the resulting structures is then tested experimentally, showing large deformations of the hinged specimens. Finally, the simulation results are compared to the experimental results, showing deformations deviating from the experiments due to the developmental stage of the specimens. Future work will benefit from the findings by improving the deformation behavior of the specimens and enabling further development for first applications.

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WANG, XIAOPING, SHENGLAN LIU, and LIYAN ZHANG. "CONSTRUCTING SURFACE FEATURES THROUGH DEFORMATION." International Journal of Image and Graphics 10, no. 01 (January 2010): 41–56. http://dx.doi.org/10.1142/s0219467810003652.

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A frequent problem in computer aided mechanical design is the construction of arbitrarily-shaped ribs and beads on surfaces, to increase their rigidity or for aesthetic reasons. We improve upon a previous mathematical approach for defining such ribs and beads, based on using so-called extension functions to define a deformation matrix, which is then applied to the underlying shape. Our improvements offer important practical advantages: firstly, by use of cosine extension functions, we get a greater control over, and flexibility of, rib shape, including the possibility of repeating ribs; secondly, we can directly control the spine curves. We give experimental results to demonstrate that the method is simple and intuitive, has low computational cost, and is potentially useful for computer aided design, computer graphics and other applications.

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Tan, Guang-hua, Wei Chen, and Li-gang Liu. "Image driven shape deformation using styles." Journal of Zhejiang University SCIENCE C 11, no. 1 (December 23, 2009): 27–35. http://dx.doi.org/10.1631/jzus.c0910089.

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43

Shyam, Vasudev. "Shape Dynamics of the TT¯ Deformation." Symmetry 13, no. 12 (November 24, 2021): 2242. http://dx.doi.org/10.3390/sym13122242.

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I will show how the flow triggered by deforming two-dimensional conformal field theories on a torus by the TT¯ operator is identical to the evolution generated by the (radial) quantum Shape Hamiltonian in 2 + 1 dimensions. I will discuss how the gauge invariances of the Shape Dynamics, i.e., volume-preserving conformal invariance and diffeomorphism invariance along slices of constant radius are realized as Ward identities of the deformed quantum field theory. I will also comment about the relationship between the reduction to shape space on the gravity side and the solvability of the irrelevant operator deformation of the conformal field theory

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44

Iwata, Koichi. "Measurement with Light. Shape and Deformation." Journal of the Japan Welding Society 63, no. 3 (1994): 155–61. http://dx.doi.org/10.2207/qjjws1943.63.155.

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Yumer, Mehmet Ersin, Siddhartha Chaudhuri, Jessica K. Hodgins, and Levent Burak Kara. "Semantic shape editing using deformation handles." ACM Transactions on Graphics 34, no. 4 (July 27, 2015): 1–12. http://dx.doi.org/10.1145/2766908.

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Chen, Renjie, and Ofir Weber. "GPU-accelerated locally injective shape deformation." ACM Transactions on Graphics 36, no. 6 (November 20, 2017): 1–13. http://dx.doi.org/10.1145/3130800.3130843.

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47

Smeets, Dirk, Jeroen Hermans, Dirk Vandermeulen, and Paul Suetens. "Isometric deformation invariant 3D shape recognition." Pattern Recognition 45, no. 7 (July 2012): 2817–31. http://dx.doi.org/10.1016/j.patcog.2012.01.020.

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48

Loffler, Gunter, and Hugh R. Wilson. "Detecting shape deformation of moving patterns." Vision Research 41, no. 8 (April 2001): 991–1006. http://dx.doi.org/10.1016/s0042-6989(01)00012-8.

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49

Eisenberger, M., Z. Lähner, and D. Cremers. "Divergence‐Free Shape Correspondence by Deformation." Computer Graphics Forum 38, no. 5 (August 2019): 1–12. http://dx.doi.org/10.1111/cgf.13785.

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Danciger, Jeff, Satyan L. Devadoss, John Mugno, Don Sheehy, and Rachel Ward. "Shape deformation in continuous map generalization." GeoInformatica 13, no. 2 (May 10, 2008): 203–21. http://dx.doi.org/10.1007/s10707-008-0049-0.

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