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There is a recent interest in studying odd elasticity in soft solids. Current focus has been on simple solids. However, many soft solids are structured and can exhibit nematic elasticity or viscoelasticity. Here we generalize the concept of…

Soft Condensed Matter · Physics 2026-03-19 Zeyang Mou , Haijie Ren , Ding Xu , Igor S. Aranson , Rui Zhang

We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale features both due to wrinkling that one expects in thin elastic…

Analysis of PDEs · Mathematics 2015-09-02 Pierluigi Cesana , Paul Plucinsky , Kaushik Bhattacharya

Macroscopic elastic core-shell systems can be generated as toy models to be deformed and haptically studied by hand. On the mesoscale, colloidal core-shell particles and microgels are fabricated and investigated by different types of…

Soft Condensed Matter · Physics 2022-05-30 Jannis Kolker , Lukas Fischer , Andreas M. Menzel , Hartmut Löwen

We determine stability boundaries for the wrinkling of highly uni-directionally stretched, finely thin, rectangular elastic sheets. For a given fine thickness and length, a stability boundary here is a curve in the parameter plane, aspect…

Soft Condensed Matter · Physics 2016-12-21 Qingdu Li , Timothy J. Healey

Nanoscale molecular transport plays a crucial role in regulating mass diffusion and responsiveness in condensed matter systems. In soft porous crystals, in particular, adsorption of guest molecules induces host framework deformation and…

Soft Condensed Matter · Physics 2026-01-28 Kota Mitsumoto , Kyohei Takae

In situ interfacial rheology and numerical simulations are used to investigate microgel monolayers in a wide range of packing fractions, $\zeta_{2D}$. The heterogeneous particle compressibility determines two flow regimes characterized by…

We study the periodic buckling patterns that emerge when elastic shells are subjected to geometric confinement. Residual swelling provides access to range of shapes (saddles, rolled sheets, cylinders, and spherical sections) which vary in…

Soft Condensed Matter · Physics 2018-10-12 Lucia Stein-Montalvo , Paul Costa , Matteo Pezzulla , Douglas P. Holmes

When a block made of an elastomer is subjected to large shear, its surface remains flat. When a block of biological soft tissue is subjected to large shear, it is likely that its surface in the plane of shear will buckle (apparition of…

Soft Condensed Matter · Physics 2008-12-09 M. Destrade , M. D. Gilchrist , D. A. Prikazchikov , G. Saccomandi

The buckling of a soft elastic sample under growth or swelling has highlighted a new interest in materials science, morphogenesis, and biology or physiology. Indeed, the change of mass or volume is a common fact of any living species, and…

Soft Condensed Matter · Physics 2023-09-21 Martine Ben Amar

In this paper we present a dimensional reduction to obtain a one-dimensional model to analyze localized necking or bulging in a residually stressed circular cylindrical solid. The nonlinear theory of elasticity is first specialized to…

Soft Condensed Matter · Physics 2024-03-20 Yang Liu , Xiang Yu , Luis Dorfmann

Thin elastic films can spontaneously attach to liquid interfaces, offering a platform for tailoring their physical, chemical, and optical properties. Current understanding of the elastocapillarity of thin films is based primarily on studies…

The morphology of spherically confined flexoelectric fluid membrane vesicles in an external uniform electric field is studied numerically. Due to the deformations induced by the confinement, the membrane becomes polarized resulting in an…

Biological Physics · Physics 2020-11-03 Niloufar Abtahi , Lila Bouzar , Nadia Saidi-Amroun , Martin Michael Müller

We determine the asymptotic behavior of the solutions to the linear elastodynamic equations in a stratified medium comprising an alternation of possibly very stiff layers with much softer ones, when the thickness of the layers tends to…

Analysis of PDEs · Mathematics 2015-10-09 Michel Bellieud

In this paper we analyze a virtual element method for the two dimensional elasticity problem allowing small edges. With this approach, the classic assumptions on the geometrical features of the polygonal meshes can be relaxed. In…

Numerical Analysis · Mathematics 2023-03-02 Danilo Amigo , Felipe Lepe , Gonzalo Rivera

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

Motivated by recent studies of two-phase lipid vesicles possessing 2D solid domains integrated within a fluid bilayer phase, we study the shape equilibria of closed vesicles possessing a single planar, circular inclusion. While 2D solid…

Soft Condensed Matter · Physics 2024-04-16 Geunwoong Jeon , Justin Fagnoni , Hao Wan , Maria M. Santore , Gregory M. Grason

Photoelasticity is employed to investigate the stress state near stiff rectangular and rhombohedral inclusions embedded in a 'soft' elastic plate. Results show that the singular stress field predicted by the linear elastic solution for the…

Soft Condensed Matter · Physics 2014-04-04 Diego Misseroni , Francesco Dal Corso , Summer Shahzad , Davide Bigoni

Using numerical simulations, we characterized the behavior of an elastic membrane immersed in an active fluid. Our findings reveal a nontrivial folding and re-expansion of the membrane that is controlled by the interplay of its resistance…

Soft Condensed Matter · Physics 2015-07-24 S. A. Mallory , C. Valeriani , A. Cacciuto

We investigate the equilibrium configurations of closed planar elastic curves of fixed length, whose stiffness, also known as the bending rigidity, depends on an additional density variable. The underlying variational model relies on the…

Analysis of PDEs · Mathematics 2021-10-14 Katharina Brazda , Gaspard Jankowiak , Christian Schmeiser , Ulisse Stefanelli

We present a method for simulating fluid vesicles with in-plane orientational ordering. The method involves computation of local curvature tensor and parallel transport of the orientational field on a randomly triangulated surface. It is…

Biological Physics · Physics 2015-05-18 N. Ramakrishnan , P. B. Sunil Kumar , John H. Ipsen
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