Asymptotic studies of Mohr-Coulomb and Drucker-Prager soft thin layers

Frédéric Lebon (1) , Sylvie Ronel-Idrissi (1)

1 L2MS - Laboratoire Mécanique Matériaux et Structures

This paper deals with the asymptotic analysis of Mohr-Coulomb and Drucker-Prager soft thin layers bonded with elastic solids. In the first part, a mathematical analysis shows how to obtain an interface law that replaces mechanically and geometrically the thin layer. This law is strongly non-linear and couples microscopic and macroscopic scales. In the second part of the paper, the microscopic terms are quantified numerically, and it is shown that they can be neglected.

Mots clés: non-associated laws; asymptotic studies; elasto-plasticity; finite elements; interface laws

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Frédéric Lebon, Sylvie Ronel-Idrissi. Asymptotic studies of Mohr-Coulomb and Drucker-Prager soft thin layers. Steel and Composite Structures, 2004, 4, pp.133-147. ⟨10.12989/scs.2004.4.2.133⟩. ⟨hal-00088239⟩