首页|The element-free Galerkin method for the dynamic Signorini contact problems with friction in elastic materials

The element-free Galerkin method for the dynamic Signorini contact problems with friction in elastic materials

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The element-free Galerkin method is proposed for the dynamic Signorini contact problems with friction in elastic materials. The Dirichlet boundary conditions and the constrained conditions are imposed by the penalty method. The error estimates of the element-free Galerkin method indicate that the convergence order depends on the spatial step, the time step, the largest degree of a complete Pascal's monomial basis in the moving least-squares approximation and the penalty factor. Numerical examples verify our theoretical results. (C) 2021 Elsevier Inc. All rights reserved.

Element-free Galerkin methodMoving least-squares approximationPenalty methodVariational inequalitiesMODIFIED MASS METHODHEMIVARIATIONAL INEQUALITIESCOULOMB-FRICTIONPROPAGATIONCONVERGENCEEXISTENCEFRACTURE

Ding, Rui、Shen, Quan、Yao, Yuan

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Soochow Univ

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.415
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