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We study a shape evolution framework in which the deformation of shapes from time t to t + dt is governed by a regularized anisotropic elasticity model. More precisely, we assume that at each time shapes are infinitesimally deformed from a…

Optimization and Control · Mathematics 2019-01-01 Dai-Ni Hsieh , Sylvain Arguillère , Nicolas Charon , Michael I. Miller , Laurent Younes

The topological properties of a material depend on its symmetries, parameters, and spatial dimension. Changes in these properties due to parameter and symmetry variations can be understood by computing the corresponding topological…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Martin Rodriguez-Vega , Terry A. Loring , Alexander Cerjan

Growing a flat lamina such as a leaf is almost impossible without some feedback to stabilize long wavelength modes that are easy to trigger since they are energetically cheap. Here we combine the physics of thin elastic plates with feedback…

Soft Condensed Matter · Physics 2022-03-30 Salem al-Mosleh , L. Mahadevan

Lattice structures are increasingly used in various fields of application due to the steady growth of additive manufacturing technology. Depending on the type of lattice, these structures are more or less suitable for energy absorption due…

Applied Physics · Physics 2024-12-10 Sören Bieler , Kerstin Weinberg

Shape memory alloys that can deform and then spring back to their original shape, have found a wide range of applications in the medical field, from heart valves to stents. As we push the boundaries of technology creating smaller, more…

Materials Science · Physics 2024-08-01 Mostafa Karami , Xian Chen

Soft matter systems are common in nature and make up nearly all the essential components necessary for life, from cells to the organelles within those cells. The ability of these soft materials to deform is crucial for the proper…

Soft Condensed Matter · Physics 2025-12-02 Padmanabha Bose , Smarajit Karmakar

Plastic deformation of micron-scale crystalline solids exhibits stress-strain curves with significant sample-to-sample variations. It is a pertinent question if this variability is purely random or to some extent predictable. Here we show,…

Disordered Systems and Neural Networks · Physics 2020-01-31 Henri Salmenjoki , Mikko J. Alava , Lasse Laurson

The balance between stretching and bending deformations characterizes shape transitions of thin elastic sheets. While stretching dominates the mechanical response in tension, bending dominates in compression after an abrupt buckling…

Biological Physics · Physics 2020-07-15 Pierre Recho , Jonathan Fouchard , Tom Wyatt , N. Khalilgharibi , Guillaume Charras , Alexandre Kabla

Lattice models, for their coarse-grained nature, are best suited for the study of the ``designability problem'', the phenomenon in which most of the about 16,000 proteins of known structure have their native conformations concentrated in a…

Biological Physics · Physics 2009-11-07 C. T. Shih , Z. Y. Su , J. F. Gwan , B. L. Hao , C. H. Hsieh , J. L. Lo. , H. C. Lee

Soft machines display shape adaptation to external circumstances due to their intrinsic compliance. To achieve increasingly more responsive behaviors upon interactions without relying on centralized computation, embodying memory directly in…

Soft Condensed Matter · Physics 2025-08-29 Alberto Comoretto , Tanaya Mandke , Johannes T. B. Overvelde

The process of structural relaxation in disordered solids subjected to repeated tension-compression loading is studied using molecular dynamics simulations. The binary glass is prepared by rapid cooling well below the glass transition…

Soft Condensed Matter · Physics 2020-05-04 Pritam Kumar Jana , Nikolai V. Priezjev

A flat sheet programmed with a planar pattern of spontaneous shape change will morph into a curved surface. Such metric mechanics is seen in growing biological sheets, and may be engineered in actuating soft matter sheets such as…

Soft Condensed Matter · Physics 2022-07-01 Fan Feng , Daniel Duffy , Mark Warner , John S. Biggins

The instability, dynamics and morphological transitions of patterns in thin liquid films on periodic striped surfaces (consisting of alternating less and more wettable stripes) are investigated based on 3-D nonlinear simulations that…

Soft Condensed Matter · Physics 2009-11-07 K. Kargupta , A. Sharma

Bi-stable objects that are pushed between states by an external field are often used as a simple model to study memory formation in disordered materials. Such systems, called hysterons, are typically treated quasistatically. Here, we…

Soft Condensed Matter · Physics 2023-08-31 Varda F. Hagh , Chloe W. Lindeman , Chi Ian Ip , Sidney R. Nagel

We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account through…

Soft Condensed Matter · Physics 2015-05-18 Christophe Raufaste , Simon Cox , Philippe Marmottant , François Graner

Connecting cell behavior to tissue shape and mechanics is a key challenge in the physics of morphogenesis. Cytoskeletal turnover precludes a fixed reference state, and tensions are actively generated independently of strain; so conventional…

Soft Condensed Matter · Physics 2026-05-28 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

We have designed and realized magnetic trapping geometries for ultracold atoms based on permanent magnetic films. Magnetic chip based experiments give a high level of control over trap barriers and geometric boundaries in a compact…

Atomic Physics · Physics 2019-02-13 A. L. La Rooij , H. B. van Linden van den Heuvell , R. J. C. Spreeuw

Shape memory materials have gained considerable attention thanks to their ability to change physical properties when subjected to external stimuli such as temperature, pH, humidity, electromagnetic fields, etc. These materials are…

Numerical Analysis · Mathematics 2019-05-01 Innocent Niyonzima , Yang Jiao , Jacob Fish

Differential growth processes play a prominent role in shaping leaves and biological tissues. Using both analytical and numerical calculations, we consider the shapes of closed, elastic strips which have been subjected to an inhomogeneous…

Materials Science · Physics 2011-01-19 Bryan Gin-ge Chen , Christian D. Santangelo

Soft colloids allow to explore high density states well beyond random close packing. An important open question is whether softness controls the dynamics under these dense conditions. While experimental works reported conflicting results,…

Soft Condensed Matter · Physics 2021-06-08 Nicoletta Gnan , Emanuela Zaccarelli