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Stochastic geometry provides a powerful framework for modelling complex random structures, with applications in physics, materials science, biology, and other fields. The three-dimensional microstructure of polycrystalline materials is…

数学物理 · 物理学 2025-07-22 Oleksandr Kornijčuk , Luděk Heller , Zbyněk Pawlas , Viktor Beneš

Controlling the spatial distribution of liquid droplets on surfaces via surface energy patterning can be used to control material delivery to specified regions via selective liquid/solid wetting. While studies of the equilibrium shape of…

软凝聚态物质 · 物理学 2007-05-23 Gary S. Grest , David R. Heine , Edmund B. Webb

The ordering of nanoparticles into predetermined configurations is of importance to the design of advanced technologies. In this work, we moderate the surface anchoring against the bulk elasticity of liquid crystals to dynamically shape…

软凝聚态物质 · 物理学 2023-12-01 Lisa Tran , Hye-Na Kim , Ningwei Li , Shu Yang , Kathleen J. Stebe , Randall D. Kamien , Martin F. Haase

Nematic drops suspended in the isotropic phase of the same substance were subjected to alternating electrical fields of varying frequency. The system was carefully kept in the isotropic-nematic coexistance region, which was broadened due to…

软凝聚态物质 · 物理学 2009-03-27 Günter K. Auernhammer , Jinyu Zhao , Beate Ullrich , Doris Vollmer

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

Disclinations in a 2D sheet create regions of Gaussian curvature whose inversion produces a reconfigurable surface with many distinct metastable shapes, as shown by molecular dynamics of a disclinated graphene monolayer. This material has a…

材料科学 · 物理学 2022-08-30 Benjamin N Katz , Lev Krainov , Vincent H Crespi

Lattice defects in crystalline materials create long-range elastic fields which can be modelled on the atomistic scale using an infinite system of discrete nonlinear force balance equations. Starting with these equations, this work…

偏微分方程分析 · 数学 2022-08-10 Julian Braun , Thomas Hudson , Christoph Ortner

Liquid films of nanometric thickness are prone to spinodal dewetting driven by disjoining pressure, meaning that a non-wetting liquid film of homogeneous thickness in the range of tens of nanometers will spontaneously break into droplets.…

流体动力学 · 物理学 2025-04-11 Tilman Richter , Paolo Malgaretti , Jens Harting

The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

数值分析 · 数学 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

Diffusion-driven patterns appear on curved surfaces in many settings, initiated by unstable modes of an underlying Laplacian operator. On a flat surface or perfect sphere, the patterns are degenerate, reflecting translational/rotational…

软凝聚态物质 · 物理学 2025-09-09 John R. Frank , Jemal Guven , Mehran Kardar , Leyna Shackleton

Lack of stiffness often limits thin shape-shifting structures to small scales. The large in-plane transformations required to distort the metrics are indeed commonly achieved by using soft hydrogels or elastomers. We introduce here a…

软凝聚态物质 · 物理学 2020-11-23 Emmanuel Siéfert , Etienne Reyssat , José Bico , Benoît Roman

Controlling the shape of deformable linear objects using robots and constraints provided by environmental fixtures has diverse industrial applications. In order to establish robust contacts with these fixtures, accurate estimation of the…

机器人学 · 计算机科学 2024-01-31 Kejia Chen , Zhenshan Bing , Yansong Wu , Fan Wu , Liding Zhang , Sami Haddadin , Alois Knoll

Elastic deformation due to embedded fluidic networks is currently studied in the context of soft-actuators and soft-robotic applications. In this work, we analyze interaction between the elastic deflection of a slender beam and viscous flow…

流体动力学 · 物理学 2015-11-19 Yoav Matia , Amir D. Gat

Mechanical metamaterials can be designed to exhibit unique mechanical properties, including tunable auxetic behavior as well as multi-stability, which arise from the geometry and configuration of the constituent building blocks.…

软凝聚态物质 · 物理学 2026-01-22 Jochem G. Meijer , Faadil Shaik , Heinrich M. Jaeger

Dynamics of small particles, both living such as swimming bacteria and inanimate, such as colloidal spheres, has fascinated scientists for centuries. If one could learn how to control and streamline their chaotic motion, that would open…

软凝聚态物质 · 物理学 2023-02-08 Oleg D. Lavrentovich

Recent experiments have imposed controlled swelling patterns on thin polymer films, which subsequently buckle into three-dimensional shapes. We develop a solution to the design problem suggested by such systems, namely, if and how one can…

软凝聚态物质 · 物理学 2011-10-13 M. A. Dias , J. A. Hanna , C. D. Santangelo

Spatiotemporal patterns are common in biological systems. For electrically-coupled cells previous studies of pattern formation have mainly used external forcing as the main bifurcation parameter. The purpose of this paper is to show that…

动力系统 · 数学 2021-11-02 H. O. Fatoyinbo , R. G. Brown , D. J. W. Simpson , B. van Brunt

As we enter the age of designer matter - where objects can morph and change shape on command - what tools do we need to create shape-shifting structures? At the heart of an elastic deformation is the combination of dilation and distortion,…

软凝聚态物质 · 物理学 2018-09-14 Douglas P. Holmes

Shapes of biological membranes are dynamically regulated in living cells. Although membrane shape deformation by proteins at thermal equilibrium has been extensively studied, nonequilibrium dynamics have been much less explored. Recently,…

生物物理 · 物理学 2020-11-19 Naoki Tamemoto , Hiroshi Noguchi

3D geometric contents are becoming increasingly popular. In this paper, we study the problem of analyzing deforming 3D meshes using deep neural networks. Deforming 3D meshes are flexible to represent 3D animation sequences as well as…

图形学 · 计算机科学 2018-03-30 Qingyang Tan , Lin Gao , Yu-Kun Lai , Shihong Xia