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相关论文: The adhesive contact problem for a piecewise-homog…

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The problem of constructing an exact solution of singular integro-differential equations related to problems of adhesive interaction between elastic thin semi-infinite homogeneous patch and elastic plate is investigated. For the patch…

数学物理 · 物理学 2024-05-28 N. Shavlakadze , N. Odishelidze , F. Criado-Aldeanueva

A contact problem of the theory of electroelasticity for piecewise-homogeneous plate of piezo-electric material with infinite cut and elastic finite inclusion of variable bending rigidity is considered. By using methods of the theory of…

数学物理 · 物理学 2024-05-21 Nugzar Shavlakadze , Nana Odishelidze , Francisco Criado-Aldeanueva

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…

数学物理 · 物理学 2024-05-29 Nugzar Shavlakadze , Nana Odishelidze , Francisco Criado-Aldeanueva

We show how the quasi-analytic method developed to solve linear elastic contacts to coated substrates (Perriot A. and Barthel E. {\em J. Mat. Res.}, {\bf 2004}, {\em 19}, 600) may be extended to adhesive contacts. Substrate inhomogeneity…

经典物理 · 物理学 2009-11-13 Etienne Barthel , Antoine Perriot

This paper considers the coupled problem of a three-dimensional elastic body and a two-dimensional plate, which are rigidly connected at their interface. The plate consists of a plane elasticity model along the longitudinal direction and a…

数值分析 · 数学 2025-09-16 Jun Hu , Zhen Liu , Rui Ma

A quasistatic unilateral frictionless contact problem for a rigid axisymmetric indenter pressed into a homogeneous, linearly elastic and transversely isotropic elastic layer bonded to a homogeneous, linearly elastic and transversely…

偏微分方程分析 · 数学 2012-07-09 I. I. Argatov , F. J. Sabina

Application of the principle of energy balance to a rigid indenter in contact with elastic layer on a flat rigid substrate provides a very simple derivation of the detachment criterion which earlier has been obtained by much more…

软凝聚态物质 · 物理学 2018-05-23 Valentin L. Popov

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…

材料科学 · 物理学 2009-11-13 Joachim Mathiesen , Itamar Procaccia , Ido Regev

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

软凝聚态物质 · 物理学 2020-02-06 Valentin L. Popov

In this paper, adhesive contact of a rigid cylinder on an elastic power-law graded half-space is studied analytically with the theory of weakly singular integral equation and orthogonal polynomial method. Emphasis is placed on the coupling…

材料科学 · 物理学 2009-11-24 Jin Fan , Xu Guo

Finite element methods are used to study non-adhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with load at small loads. The mean pressure in the contact…

材料科学 · 物理学 2009-11-10 S. Hyun , L. Pei , J. -F. Molinari , M. O. Robbins

Networks of flexible filaments often involve regions of tight contact. Predictively understanding the equilibrium configurations of these systems is challenging due to intricate couplings between topology, geometry, large nonlinear…

In this article, we extended our approach, that is mentioned in part 1, to model the indentation of an adhesive beam by a rigid cylindrical punch. We considered clamped and simply supported beams for this study. We first modeled these beams…

软凝聚态物质 · 物理学 2017-08-31 V. S. Punati , I. Sharma , P. Wahi

Inhomogeneity and anisotropy play a crucial role in attributing articular cartilage its properties. The frictionless contact model constructed here consists in two thin biphasic transversely isotropic transversely homogeneous (TITH)…

组织与器官 · 定量生物学 2016-10-18 Gennaro Vitucci , Gennady Mishuris

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…

软凝聚态物质 · 物理学 2025-04-03 Jacopo Bonari , Marco Paggi , José Reinoso

We consider a family of linearly elastic shells with thickness $2\varepsilon$ (where $\varepsilon$ is a small parameter). The shells are clamped along a portion of their lateral face, all having the same middle surface $S$, and may enter in…

数学物理 · 物理学 2016-11-23 Á. Rodríguez-Arós

A three-dimensional unilateral contact problem for articular cartilage layers attached to subchondral bones shaped as elliptic paraboloids is considered in the framework of the biphasic cartilage model. The main novelty of the study is in…

生物物理 · 物理学 2015-03-23 A. A. Koroleva , S. V. Rogosin , G. S. Mishuris

A new variational formulation is herein proposed for the solution of adhesive contact problems for non-planar profiles of arbitrary shape indenting a deformable half-plane. The method exploits the original idea of accounting for the shape…

软凝聚态物质 · 物理学 2018-05-21 Marco Paggi , José Reinoso

The problem of a general, symmetric contact, between elastically similar bodies, and capable of idealisation using half-plane theory, is studied in the presence of interfacial friction. It is subject to a constant set of loads - normal…

软凝聚态物质 · 物理学 2019-04-01 Hendrik Andresen , David A. Hills , James R. Barber , Jesus Vazquez

We consider a sequence of linear hyper-elastic, inhomogeneous and fully anisotropic bodies in a reference configuration occupying a cylindrical region of height epsilon. We then study, by means of Gamma-convergence, the asymptotic behavior…

数学物理 · 物理学 2017-04-03 Francois Murat , Roberto Paroni
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