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We calculate the induced elastic-interaction between pointwise membrane inclusions that locally interact up to quadratic order with the membrane curvature tensor. For isotropic inclusions, we recover the usual interaction proportional to…

Soft Condensed Matter · Physics 2009-11-10 Denis Bartolo , Jean-Baptiste Fournier

The description of elastic, nonadhesive contacts between solids with self-affine surface roughness seems to necessitate knowledge of a large number of parameters. However, few parameters suffice to determine many important interfacial…

Soft Condensed Matter · Physics 2013-12-09 Nikolay Prodanov , Wolf B. Dapp , Martin H. Müser

A periodically-uneven (in one horizontal direction) stress-free boundary covering a linear, isotropic, homogeneous, lossless solid half space is submitted to a vertically-propagating shear-horizontal plane, body wave. The rigorous theory of…

Computational Physics · Physics 2018-05-28 Armand Wirgin

The exact and approximate solutions of singular integro-differential equations relating to the problems of interaction of an elastic thin finite or infinite non-homogeneous patch with a plate are considered, provided that the materials of…

Mathematical Physics · Physics 2024-05-29 Nugzar Shavlakadze , Nana Odishelidze , Francisco Criado-Aldeanueva

A classical problem in elasticity theory involves an inhomogeneity embedded in a material of given stress and shear moduli. The inhomogeneity is a region of arbitrary shape whose stress and shear moduli differ from those of the surrounding…

Materials Science · Physics 2009-11-13 Joachim Mathiesen , Itamar Procaccia , Ido Regev

The physical mechanism of elasticity of liquid surfaces coated with colloidal particles is proposed. It is suggested that particles are separated by water clearings and the capillary interaction between them is negligible. The case is…

Soft Condensed Matter · Physics 2015-03-12 Edward Bormashenko , Gene Whyman , Oleg Gendelman

We investigate the inelastic coupling interaction by studying its effect on the elastic scattering potential as determined by inverting the elastic scattering $S$-matrix. We first address the effect upon the real and imaginary elastic…

Nuclear Theory · Physics 2009-11-07 I. Boztosun , R. S. Mackintosh

A homogeneous elastic solid, bounded by a flat surface in its unstressed configuration, undergoes a finite strain when in frictionless contact against a rigid and rectilinear constraint, ending with a rounded or sharp corner, in a…

Soft Condensed Matter · Physics 2024-05-21 Francesco Dal Corso , Marco Amato , Davide Bigoni

An extension to the interface finite element with eMbedded Profile for Joint Roughness (MPJR interface finite element) is herein proposed for solving the frictional contact problem between a rigid indenter of any complex shape and an…

Soft Condensed Matter · Physics 2025-04-03 Jacopo Bonari , Marco Paggi , José Reinoso

We present contact radius and curvature corrections to the nonlocal contact formulation that take into account multi-particle interactions in elastic confined granular systems. The nonlocal contact formulation removes the classical…

Soft Condensed Matter · Physics 2018-09-11 Ankit Agarwal , Marcial Gonzalez

The contact of solids with rough surfaces plays a fundamental role in physical phenomena such as friction, wear, sealing, and thermal transfer. However, its simulation is a challenging problem due to surface asperities covering a wide range…

Soft Condensed Matter · Physics 2019-04-16 Lucas Frérot , Marc Bonnet , Jean-François Molinari , Guillaume Anciaux

Most cellular solids are random materials, while practically all theoretical results are for periodic models. To be able to generate theoretical results for random models, the finite element method (FEM) was used to study the elastic…

Materials Science · Physics 2007-05-23 Anthony Roberts , Ed Garboczi

A rigorous mathematical model and an efficient computational method are proposed to solving the inverse elastic surface scattering problem which arises from the near-field imaging of periodic structures. We demonstrate how an enhanced…

Analysis of PDEs · Mathematics 2017-12-08 Huaian Diao , Peijun Li , Xiaokai Yuan

This paper provides an analytical solution for the deformation of an elastic half-space caused by a cylindrical roller. The roller is considered rigid, and is forced into the half space and rolls across its surface, with contact modelled by…

Classical Physics · Physics 2022-08-18 Hanson Bharth , Edward James Brambley

An indentation testing method, which utilizes lateral contact of a long cylindrical indenter, is developed for a thin transversely isotropic incompressible elastic film deposited onto a smooth rigid substrate. It is assumed that the…

Classical Physics · Physics 2016-05-18 I. Argatov , G. Mishuris

In this work we consider the inverse elastic scattering problem by an inclusion in two dimensions. The elastic inclusion is placed in an isotropic homogeneous elastic medium. The inverse problem, using the third Betti's formula (direct…

Analysis of PDEs · Mathematics 2018-10-22 Roman Chapko , Drossos Gintides , Leonidas Mindrinos

The friction and adhesion between elastic bodies are strongly influenced by the roughness of the surfaces in contact. Here we develop a multiscale molecular dynamics approach to contact mechanics, which can be used also when the surfaces…

Soft Condensed Matter · Physics 2007-05-23 C. Yang , U. Tartaglino , B. N. J. Persson

The objective of this work is the development of a novel finite element formulation describing the contact interaction of slender beams in complex 3D configurations involving arbitrary beam-to-beam orientations. It is shown in a…

Computational Engineering, Finance, and Science · Computer Science 2018-05-28 Christoph Meier , Alexander Popp , Wolfgang A. Wall

We present a Discrete Element Method algorithm for the simulation of elastic fibers in frictional contacts. The fibers are modeled as chains of cylindrical segments connected to each other by springs taking into account elongation, bending…

Soft Condensed Matter · Physics 2023-03-08 Jérôme Crassous

The force of adhesion of a rotationally symmetric indenter and an elastic half-space is analyzed analytically and numerically using an extension of the method of dimensionality reduction (MDR) for superimposed normal/tangential adhesive…

Soft Condensed Matter · Physics 2017-08-29 Valentin L. Popov , Iakov A. Lyashenko , Alexander E. Filippov
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