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Numerical solution of a contact problem with unilateral constraint and history-dependent penetration
Journal article   Peer reviewed

Numerical solution of a contact problem with unilateral constraint and history-dependent penetration

Mikaël Barboteu, Weimin Han and Mircea Sofonea
Journal of engineering mathematics, Vol.97(1), pp.177-194
07/28/2015
DOI: 10.1007/s10665-015-9804-z

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Abstract

A numerical method is presented for a mathematical model which describes the frictionless contact between a viscoplastic body and an obstacle, the so-called foundation. The process is quasistatic, and the contact is modeled with normal compliance and unilateral constraint, in such a way that the stiffness coefficient depends on the history of the penetration. A solution algorithm is discussed and implemented. Numerical simulation results are reported, illustrating the mechanical behavior related to the contact condition.
Mathematics

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