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

Mikaël Barboteu (1) , Weimin Han (2) , Mircea Sofonea (1)

1 LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations
2 Department of Mathematics, University of Iowa

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.

Domaines: Mathématiques [math]

Mikaël Barboteu, Weimin Han, Mircea Sofonea. Numerical solution of a contact problem with unilateral constraint and history-dependent penetration. Journal of Engineering Mathematics, 2015, 97, pp.177-194. ⟨10.1007/s10665-015-9804-z⟩. ⟨hal-01262480⟩