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The context of this paper is the use of formal methods for topology-based geometric modelling. Topology-based geometric modelling deals with objects of various dimensions and shapes. Usually, objects are defined by a graph-based topological…

Graphics · Computer Science 2011-02-15 Thomas Bellet , Agnès Arnould , Pascale Le Gall

We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a preserved multisymplectic structure in two-dimentional case in certain discrete…

High Energy Physics - Theory · Physics 2018-01-17 Han-Ying Guo , Xiao-mei Ji , Yu-Qi Li , Ke Wu

Plastic deformation in amorphous solids is carried by localized shear transformations that self-organize into avalanches. In amorphous carbon modeled with a machine-learned interatomic potential, we find that the energetics and organization…

Materials Science · Physics 2026-04-28 Fraser Birks , Ibrahim Ghanem , Lars Pastewka , James Kermode , Maciej Buze

We study avenues to shape multistability and shape-morphing in flexible crystalline membranes of cylindrical topology, enabled by glide mobility of dislocations. Using computational modeling, we obtain states of mechanical equilibrium…

Soft Condensed Matter · Physics 2022-03-23 Andrei Zakharov , Daniel A. Beller

The introduction of structural defects in otherwise periodic media is well known to grant exceptional space control and localization of waves in various physical fields, including elasticity. Despite the variety of designs proposed so far,…

Applied Physics · Physics 2021-11-18 Marco Miniaci , Florian Allein , Raj Kumar Pal

Despite recent advances in geometric modeling, 3D mesh modeling still involves a considerable amount of manual labor by experts. In this paper, we introduce Mesh Draping: a neural method for transferring existing mesh structure from one…

Graphics · Computer Science 2021-10-12 Amir Hertz , Or Perel , Raja Giryes , Olga Sorkine-Hornung , Daniel Cohen-Or

This research proposes a novel morphing structure with shells inspired by the movement of pillbugs. Instead of the pillbug body, a loopcoupled mechanism based on slider-crank mechanisms is utilized to achieve the rolling up and spreading…

Robotics · Computer Science 2025-06-06 Jieyu Wang , Yingzhong Tian , Fengfeng Xi , Damien Chablat , Jianing Lin , Gaoke Ren , Yinjun Zhao

Randomly crumpled sheets have shape memory. In order to understand the basis of this form of memory, we simulate triangular lattices of springs whose lengths are altered to create a topography with multiple potential energy minima. We then…

Soft Condensed Matter · Physics 2015-11-18 Naomi Oppenheimer , Thomas A. Witten

Elastic strips provide a canonical system for studying the mechanisms governing elastic shape transitions. Buckling, linear snap-through, and nonlinear snap-through have been observed in boundary-actuated strips and linked to the type of…

Soft Condensed Matter · Physics 2023-06-21 Basile Radisson , Eva Kanso

We describe a combined experimental and theoretical investigation of shape-morphing structures assembled by actuating composite (Janus) fibers, taking into account multiple relevant factors affecting shape transformations, such as strain…

Soft Condensed Matter · Physics 2019-12-13 Andrei Zakharov , Len M. Pismen , Leonid Ionov

Collective cell motions underlie structure formation during embryonic development. Tissues exhibit emergent multicellular characteristics such as jamming, rigidity transitions, and glassy dynamics, but there remain questions about how those…

Biological Physics · Physics 2023-12-13 Evan Thomas , Sevan Hopyan

Multi-stable mechanical structures find cutting-edge applications across various domains due to their reconfigurability, which offers innovative possibilities for engineering and technology advancements. This study explores the emergence of…

Applied Physics · Physics 2024-02-13 Zhen Wang , Feiyang Sun , Xiaodong Xu , Xin Li , Chuanqing Chen , Minghui Lu

Porous structures are widely used in various industries because of their excellent properties. Porous surfaces have no thickness and should be thickened to sheet structures for further fabrication. However, conventional methods for…

Computational Geometry · Computer Science 2022-12-21 Jiacong Yan , Hongwei Lin

Topologically interlocked structures are assemblies of interlocking blocks that hold together solely through contact. Such structures have been shown to exhibit high strength, energy dissipation, and crack arrest properties. Recent studies…

Numerical Analysis · Mathematics 2023-10-02 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

Model-based manipulation of deformable objects has traditionally dealt with objects while neglecting their dynamics, thus mostly focusing on very lightweight objects at steady state. At the same time, soft robotic research has made…

Robotics · Computer Science 2025-10-21 Sebastien Tiburzio , Tomás Coleman , Daniel Feliu-Talegon , Cosimo Della Santina

An analytical study is taken to investigate the relationship between material softening and structural softening through the use of a model problem in one dimension. With general nonlinear assumptions on the constitutive relations, it turns…

Biological Physics · Physics 2010-07-30 Hui-Hui Dai , Xiaowu Zhu , Zhen Chen

We investigate the systematic design of compliant morphing structures composed of materials reacting to an external stimulus. We add a perimeter penalty term to ensure existence of solutions. We propose a phase-field approximation of this…

Numerical Analysis · Mathematics 2024-11-12 Jamal Shabani , Kaushik Bhattacharya , Blaise Bourdin

The internal representations learned by deep networks are often sensitive to architecture-specific choices, raising questions about the stability, alignment, and transferability of learned structure across models. In this paper, we…

Machine Learning · Computer Science 2025-08-06 Saleh Nikooroo , Thomas Engel

This work examines the snap-through behavior of a clamped-clamped elastica made from initially flat, thin, cut sheets under increasing vertical concentrated load acting at midspan. A two-parameter, symmetric pattern is introduced to conduct…

Soft Condensed Matter · Physics 2026-05-26 Eszter Fehér

A remarkable property of nastic, shape changing plants is their complete fusion between actuators and structure. This is achieved by combining a large number of cells whose geometry, internal pressures and material properties are optimized…

Quantitative Methods · Quantitative Biology 2015-07-20 Markus Pagitz , Manuel Pagitz , C. Hühne
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