A nonsymmetric linear complementarity problem to solve a quasistatic rolling frictional contact problem

Khalid Addi (1) , Samir Adly (2) , Daniel Goeleven (1) , Michel Théra (2)

1 IREMIA - Institut de REcherche en Mathématiques et Informatique Appliquées
2 DMI

A simple approach and an algorithm are proposed to solve the qua­sistatic rolling frictional contact problem between an elastic cylinder and a fiat rigid body. The discretization is based on the boundary element method. The unilateral frictional contact problem (nonsmooth but monotone) is formulated in a compact form as a nonsymmetric linear complementarity problem which is solved using Lemke's algorithm.

Mots clés: complementarity problems; frictional contact problems; rolling contact; boundary element method; mathematical programming

Domaines: Systèmes dynamiques [math.DS]

Khalid Addi, Samir Adly, Daniel Goeleven, Michel Théra. A nonsymmetric linear complementarity problem to solve a quasistatic rolling frictional contact problem. Journal of Nonlinear and Convex Analysis, 2006, 7 (3), pp.315-324. ⟨hal-00450955⟩