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The evolution of porous structure and mechanical properties of binary glasses under tensile loading were examined using molecular dynamics simulations. We consider vitreous systems obtained in the process of phase separation after a rapid…

Soft Condensed Matter · Physics 2018-07-19 Nikolai V. Priezjev , Maxim A. Makeev

Chronic wounds represent a major public health problem affecting 6.5 million people in the United States. Ischemia represents a serious complicating factor in wound healing. In this paper we analyze a recently developed mathematical model…

Analysis of PDEs · Mathematics 2010-06-11 Avner Friedman , Bei Hu , Chuan Xue

We carry out the homogenization of a fluid-structure interaction problem consisting in the periodic inclusions of a viscous fluid in an elastic body. We get a macrostructure model where the body behaves as a viscoelastic material with a…

Analysis of PDEs · Mathematics 2024-05-20 Juan Casado-Díaz

Understanding surface mechanics of soft solids, such as soft polymeric gels, is crucial in many engineering processes, such as dynamic wetting and adhesive failure. In these situations, a combination of capillary and elastic forces drives…

Soft Condensed Matter · Physics 2020-12-02 Qin Xu , Lawrence A. Wilen , Katharine E. Jensen , Robert W. Style , Eric R. Dufresne

Cutting soft materials is a complex process governed by the interplay of bulk large deformation, interfacial soft fracture, and contact forces with the cutting tool. Existing experimental characterizations and numerical models often fail to…

Soft Condensed Matter · Physics 2026-01-08 Miguel Angel Moreno-Mateos , Paul Steinmann

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

Soft Condensed Matter · Physics 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

Epithelization, the process whereby an epithelium covers a cell-free surface, is not only central to wound healing but also pivotal in embryonic morphogenesis, regeneration, and cancer. In the context of wound healing, the epithelization…

Cell Behavior · Quantitative Biology 2014-02-21 Olivier Cochet-Escartin , Jonas Ranft , Pascal Silberzan , Philippe Marcq

The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic material is considered. The leading-order asymptotic models (for…

Analysis of PDEs · Mathematics 2015-04-28 Ivan Argatov , Gennady Mishuris

A stiff one-armed swimmer in glycerine goes nowhere, but if its arm is elastic, exerting a restorative torque proportional to local curvature, the swimmer can go on its way. Considering this happy consequence and the principles of…

Soft Condensed Matter · Physics 2009-10-30 Chris H. Wiggins , Raymond E. Goldstein

Thin, viscous liquid films subjected to impact events can deform. Here we investigate free surface oil film deformations that arise due to the air pressure buildup under the impacting and rebouncing water drops. Using Digital Holographic…

Fluid Dynamics · Physics 2021-07-13 Srinath Lakshman , Walter Tewes , Kirsten Harth , Jacco Snoeijer , Detlef Lohse

We consider a free liquid sheet, taking into account the dependence of surface tension on temperature, or concentration of some pollutant. The sheet dynamics are described within a long-wavelength description. In the presence of viscosity,…

Fluid Dynamics · Physics 2018-03-14 Georgy Kitavtsev , Marco A. Fontelos , Jens Eggers

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

Wound healing assays are commonly used to study how populations of cells, initialised on a two-dimensional surface, act to close an artificial wound space. While real wounds have different shapes, standard wound healing assays often deal…

Cell Behavior · Quantitative Biology 2018-05-18 Wang Jin , Kai-Yin Lo , Shih-En Chou , Scott W McCue , Matthew J Simpson

To deal with permanent deformations and residual stresses, we consider a morphoelastic model for the scar formation as the result of wound healing after a skin trauma. Next to the mechanical components such as strain and displacements, the…

Numerical Analysis · Mathematics 2022-03-17 Ginger Egberts , Fred Vermolen , Paul van Zuijlen

A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, force generation is governed by motor molecule activity, which does not depend on…

Soft Condensed Matter · Physics 2026-03-17 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

When a thermoset polymer is cured at elevated temperature in a closed mold, thermal expansion can produce flaws in the finished product. Those flaws occur when rising internal pressure pushes the mold open and cured polymer flows out…

Soft Condensed Matter · Physics 2019-05-16 Louis A. Bloomfield

Accurate prediction of the force required to puncture a soft material is critical in many fields like medical technology, food processing, and manufacturing. However, such a prediction strongly depends on our understanding of the complex…

Soft Condensed Matter · Physics 2023-08-16 Stefano Fregonese , Zhiyuan Tong , Sibo Wang , Mattia Bacca

Spatially confined rigid membranes reorganize their morphology in response to the imposed constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing the deformation energy while compressing a membrane resting…

What characterises a solid is its way to respond to external stresses. Ordered solids, such crystals, display an elastic regime followed by a plastic one, both well understood microscopically in terms of lattice distortion and dislocations.…

Soft Condensed Matter · Physics 2016-12-21 Giulio Biroli , Pierfrancesco Urbani

Inelastic mechanical responses in solids, such as plasticity, damage and crack initiation, are typically modeled in constitutive ways that display microstructural and loading dependence. Nevertheless, {linear} elasticity at infinitesimal…

Applied Physics · Physics 2019-12-23 Stefanos Papanikolaou