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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…

Materials Science · Physics 2022-08-30 Benjamin N Katz , Lev Krainov , Vincent H Crespi

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

The elastic response of the crystalline sheet to the stretching deformation in the form of wrinkles has been extensively investigated. In this work, we extend this fundamental scientific question to the plastic regime by exploring the…

Soft Condensed Matter · Physics 2025-06-09 Ranzhi Sun , Zhenwei Yao

We study contraction conditions for an iterated function system of continuous maps on a metric space which are chosen randomly, identically and independently. We investigate metric changes, preserving the topological structure of the space,…

Dynamical Systems · Mathematics 2021-12-14 Katrin Gelfert , Graccyela R. Salcedo

Understanding and controlling the shape of thin, soft objects has been the focus of significant research efforts among physicists, biologists, and engineers in the last decade. These studies aim to utilize advanced materials in novel,…

Soft Condensed Matter · Physics 2015-06-02 Matteo Pezzulla , Steven A. Shillig , Paola Nardinocchi , Douglas P. Holmes

We examine how disordering joint position influences the linear elastic behavior of lattice materials via numerical simulations in two-dimensional beam networks. Three distinct initial crystalline geometries are selected as representative…

Soft Condensed Matter · Physics 2022-08-31 Antoine Montiel , Thuy Nguyen , Cindy Rountree , Valérie Geertsen , Patrick Guenoun , Daniel Bonamy

This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages of both body-fitted mesh methods and unfitted mesh methods. A background body-fitted mesh is generated…

Numerical Analysis · Mathematics 2022-09-02 Shuhao Cao , Long Chen , Ruchi Guo , Frank Lin

Soft slender structures are ubiquitous in natural and artificial systems and can be observed at scales that range from the nanometric to the kilometric, from polymers to space tethers. We present a practical numerical approach to simulate…

Fluid Dynamics · Physics 2017-08-18 Mattia Gazzola , Levi H. Dudte , Andrew G. McCormick , L. Mahadevan

Multi-material lightweight designs, e.g. the combination of aluminum with fiber-reinforced composites, are a key feature for the development of innovative and resource-efficient products. The connection properties of such bi-material…

Materials Science · Physics 2021-08-20 Franz Hirsch , Markus Kästner

Based on the invasion percolation model, a lattice model for the sweeping interface dynamics is constructed to describe the pattern forming process by a sweeping interface upon drying the water-granule mixture. The model is shown to produce…

Statistical Mechanics · Physics 2007-06-26 Hiizu Nakanishi , Ryo Yamamoto , Yumino Hayase , Namiko Mitarai

We consider the reliable implementation of an adaptive high-order unfitted finite element method on Cartesian meshes for solving elliptic interface problems with geometrically curved singularities. We extend our previous work on the…

Numerical Analysis · Mathematics 2024-03-07 Zhiming Chen , Yong Liu

Interfaces in materials are often treated as massless geometric boundaries, and many kinetic models adopt an overdamped assumption. In this Letter, we show that grain boundaries exhibit inertial behavior under high-frequency oscillatory…

Materials Science · Physics 2025-12-03 Xinyuan Song , Chuang Deng

We study the dynamics of elastic interfaces-membranes-immersed in thermally excited fluids. The work contains three components: the development of a numerical method, a purely theoretical approach, and numerical simulation. In developing a…

Soft Condensed Matter · Physics 2009-10-31 Davide Stelitano , Daniel H. Rothman

The properties of tissue interfaces -- between separate populations of cells, or between a group of cells and its environment -- has attracted intense theoretical, computational, and experimental study. Recent work on shape-based models…

Soft Condensed Matter · Physics 2024-12-04 Haicen Yue , Charles R. Packard , Daniel M. Sussman

Many biological materials consist of sparse networks of disordered fibres, embedded in a soft elastic matrix. The interplay between rigid and soft elements in such composite networks leads to mechanical properties that can go far beyond the…

Soft Condensed Matter · Physics 2017-04-26 Jan Maarten van Doorn , Luuk Lageschaar , Joris Sprakel , Jasper van der Gucht

Monolayers of soft colloidal particles confined at fluid interfaces have been attracting increasing interest for fundamental studies and applications alike. However, establishing the relation between their internal architecture, which is…

Soft Condensed Matter · Physics 2021-03-30 Jacopo Vialetto , Fabrizio Camerin , Fabio Grillo , Lorenzo Rovigatti , Emanuela Zaccarelli , Lucio Isa

We investigate the deformation of elastic microcapsules adsorbed at liquid-liquid interfaces. An initially spherical elastic capsule at a liquid-liquid interface undergoes circumferential stretching due to the liquid-liquid surface tension…

Soft Condensed Matter · Physics 2018-07-16 Jonas Hegemann , Horst-Holger Boltz , Jan Kierfeld

Living materials such as membranes, cytoskeletal assemblies, cell collectives and tissues can often be described as active solids -- materials that are energized from within, with elastic response about a well defined reference…

Soft Condensed Matter · Physics 2025-12-15 Yuan Zhou , Lazaros Tsaloukidis , Jack Binysh , Yuchao Chen , Nikta Fakhri , Corentin Coulais , Piotr Surówka

In this paper, we establish well-posed boundary and interface conditions for the relaxed micromorphic model that are able to unveil the scattering response of fully finite-size metamaterials' samples. The resulting relaxed micromorphic…

Applied Physics · Physics 2021-05-04 Gianluca Rizzi , Marco Valerio d'Agostino , Patrizio Neff , Angela Madeo

A periodic surface is one that is invariant by a 2D lattice of translations. Deformation modes that stretch the lattice without stretching the surface are effective membrane modes. Deformation modes that bend the lattice without stretching…

Differential Geometry · Mathematics 2024-08-29 Hussein Nassar
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