Cellular automata model for a contact problem

M Abdellaoui (1) , A El Jai (1) , M Shillor (2)

1 LTS - Laboratoire de Théorie des Systèmes
2 Department of Mathematics and Statistics

The aim of this paper is to apply the cellular automata approach to the description of deformations of an elastic body and the frictionless contact between the body and a rigid foundation. The model is based on a microscopic approach and can be easily implemented. A numerical algorithm is constructed and simulation results are presented, illustrating the properties of the model and the behavior of its solutions.

Keywords: Cellular automata; Elastic body; Frictionless contact

Domains: Engineering Sciences [physics]; Mechanics [physics.med-ph]

M Abdellaoui, A El Jai, M Shillor. Cellular automata model for a contact problem. Mathematical and Computer Modelling, 2002, 36 (9-10), p. 1099-1114. ⟨10.1016/S0895-7177(02)00261-3⟩. ⟨hal-01296556⟩