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Journal Articles International Journal for Numerical Methods in Engineering Year : 2008

Uzawa and Newton algorithms to solve frictional contact problems within the bi-potential framework

Abstract

This paper is concerned with the numerical modeling of three-dimensional unilateral contact problems in elastostatics with Coulomb friction laws. We propose a Newton-like algorithm to solve the local contact non-linear equations within the bi-potential framework. The piecewise continuous contact tangent matrices are explicitly derived. A comparative study is made between the Newton algorithm and the previously developed Uzawa algorithm. A test example is included to demonstrate the developed algorithms and to highlight their performance.
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hal-00342939 , version 1 (29-10-2023)

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Pierre Joli, Zhi-Qiang Feng. Uzawa and Newton algorithms to solve frictional contact problems within the bi-potential framework. International Journal for Numerical Methods in Engineering, 2008, 73 (3), pp.317-330. ⟨10.1002/nme.2073⟩. ⟨hal-00342939⟩
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