Numerical Solution of Frictional Contact Problems for Viscoelastic Solids by SGBEM and Quadratic Programming

Roman Vodička; Vladislav Mantič

doi:10.4028/www.scientific.net/KEM.681.175

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The Frictional Contact Problem of a Rigid Stamp Sliding over a Graded Medium
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HomeKey Engineering MaterialsKey Engineering Materials Vol. 681Numerical Solution of Frictional Contact Problems...

Numerical Solution of Frictional Contact Problems for Viscoelastic Solids by SGBEM and Quadratic Programming

Abstract:

The contact problem with Coulomb friction together with a simple Kelvin-Voigt viscoelastic model is studied. The numerical solution is obtained using a time discretization by a semi-implicit formula, the visco-elastic solids in contact being discretized by Symmetric Galerkin Boundary Element Method (SGBEM). The resulting minimization problem with a nonsmooth cost functional is suitably transformed in several ways. Firstly, a transformation is performed to apply SGBEM without any viscoelastic fundamental solution. Secondly, a transformation of contact quantities leads to a minimimization with a quadratic programming structure. Numerical examples show the applicability of the proposed approach to solve rather intricate frictional contact problems.

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Periodical:

Key Engineering Materials (Volume 681)

Pages:

175-184

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.681.175

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Online since:

February 2016

Authors:

Roman Vodička, Vladislav Mantič

Keywords:

Frictional Contact, Normal Compliance, Quadratic Programming, Symmetric Galerkin Boundary Element Method, Viscous Regularization

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