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The consolidation of suspended particulate matter under external forces such as pressure or gravity is of widespread interest. In this work, we derive a constitutive relation to describe the deformation of a {\it two-dimensional} strongly…

软凝聚态物质 · 物理学 2014-02-26 Saikat Roy , Mahesh S Tirumkudulu

We derive the elastic field generated by multiple small-scaled inclusions distributed in a bounded set of $\mathbb{R}^3$. These inclusions are modeled with moderate values of the Lam\'e coefficients while they have a large relative mass…

偏微分方程分析 · 数学 2024-05-10 Durga Prasad Challa , Divya Gangadaraiah , Mourad Sini

When adhesive elastomeric materials slide over hard rough surfaces at low velocities, there are two primary dissipative mechanisms that control how friction changes with sliding velocity: viscoelastic dissipation and adhesive dissipation.…

软凝聚态物质 · 物理学 2022-11-23 Daniel Maksuta , Siddhesh Dalvi , Abhijeet Gujrati , Lars Pastewka , Tevis DB Jacobs , Ali Dhinojwala

In the context of elasticity theory, rigidity theorems allow to derive global properties of a deformation from local ones. This paper presents a new asymptotic version of rigidity, applicable to elastic bodies with sufficiently stiff…

偏微分方程分析 · 数学 2019-09-04 Fabian Christowiak , Carolin Kreisbeck

Liquid crystal elastomers are cross-linked elastomer networks with liquid crystal mesogens incorporated into the main or side chain. Polydomain liquid crystalline (nematic) elastomers exhibit unusual mechanical properties like soft…

软凝聚态物质 · 物理学 2024-05-21 Ameneh Maghsoodi , Kaushik Bhattacharya

Surface stress, which is always neglected in classical elastic theories, has recently emerged as a key role in the mechanics of highly deformable soft solids. In this paper, the effect of surface stress on the deformation and instability of…

软凝聚态物质 · 物理学 2022-08-23 Jian Wu , Mingchao Liu , Zhenyu Wang , C. Q. Chen

We study the lubrication of fluid-immersed soft interfaces and show that elastic deformation couples tangential and normal forces and thus generates lift. We consider materials that deform easily, due to either geometry (e.g. a shell) or…

软凝聚态物质 · 物理学 2009-11-10 J. M. Skotheim , L. Mahadevan

During the life of animals, epithelial tissues undergo extensive deformations--first to form organs during embryogensis and later to preserve integrity and function in adulthood. To what extent these deformations resemble that of non-living…

软凝聚态物质 · 物理学 2025-04-23 Urska Andrensek , Matej Krajnc

In vitro collagen networks and in silico fiber network models are typically used to represent extracellular matrix in tissues. Such networks exhibit the phenomenon of strain-stiffening, or an increase in elastic modulus with increasing…

生物物理 · 物理学 2025-03-19 Amanda Parker , J. M. Schwarz

In the analysis of composite materials with heterogeneous microstructures, full resolution of the heterogeneities using classical numerical approaches can be computationally prohibitive. This paper presents a micromechanics-enhanced finite…

材料科学 · 物理学 2011-11-08 J. Novák , Ł. Kaczmarczyk , P. Grassl , J. Zeman , C. J. Pearce

We study the interaction between capillary forces and deformation in the context of a deformable capillary adhesive: a clamped, tense membrane is adhered to a rigid substrate by the surface tension of a liquid droplet. We find that the…

流体动力学 · 物理学 2019-03-20 Matthew Butler , Finn Box , Thomas Robert , Dominic Vella

Many immersed boundary methods solve for surface stresses that impose the velocity boundary conditions on an immersed body. These surface stresses may contain spurious oscillations that make them ill-suited for representing the physical…

流体动力学 · 物理学 2016-07-20 Andres Goza , Sebastian Liska , Benjamin Morley , Tim Colonius

Up-down asymmetric inclusions impose a local, spontaneous curvature to an elastic membrane. When several of them are inserted in a same membrane, they feel effective forces mediated by the membrane, both of elastic and entropic nature.…

软凝聚态物质 · 物理学 2013-07-31 Sebastian Weitz , Nicolas Destainville

When particulate suspensions are sheared, perturbations in the shear flows around the rigid particles increase the local energy dissipation, so that the viscosity of the suspension is effectively higher than that of the solvent. For bulk…

软凝聚态物质 · 物理学 2009-11-13 Mark L. Henle , Alex J. Levine

The deformation and rupture of a lipid vesicle due to the forced normal approach of an inclusion are essential for optimizing the design of magnetic giant unilamellar vesicles [magGUVs, Malik et al., Nanoscale 17, 13720 (2025)], with…

软凝聚态物质 · 物理学 2025-12-16 Yuan-Nan Young , Bryan Quaife , Herve Nganguia , On Shun Pak , Jie Feng , Howard A. Stone

Elastic materials with holes and inclusions are important in a large variety of contexts ranging from construction material to biological membranes. More recently, they have also been exploited in mechanical metamaterials, where the…

软凝聚态物质 · 物理学 2021-05-26 Siddhartha Sarkar , Matjaz Cebron , Miha Brojan , Andrej Kosmrlj

In this work the linear elastic properties of materials containing spherical voids are calculated and compared using finite element simulations. The focus is on homogeneous solid materials with spherical, empty voids of equal size. The…

We explore the pressure of active particles on curved surfaces and its relation to other interfacial properties. We use both direct simulations of the active systems as well as simulations of an equilibrium system with effective (pair)…

软凝聚态物质 · 物理学 2019-05-14 René Wittmann , Frank Smallenburg , Joseph M. Brader

This paper proposes that elastic potentials, which may be rigorously formulated using the negative Gibbs free energy or the complementary strain energy density, should be used as the basis for the plastic part of elasto-plastic constitutive…

软凝聚态物质 · 物理学 2018-06-01 Jorge Castro

We have studied experimentally and theoretically the response of randomly folded hyperelastic and elastoplastic sheets on the uniaxial compression loading and the statistical properties of crumpling networks. The results of these studies…

统计力学 · 物理学 2008-08-26 Alexander S. Balankin , Orlando Susarrey Huerta