Asymptotic analysis of some non-linear soft thin layers

Frédéric Lebon (1) , Raffaella Rizzoni (2) , Sylvie Ronel-Idrissi (3)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 Dipartimento di Ingegneria
3 L2MS - Laboratoire Mécanique Matériaux et Structures

This paper shows how to model thin layers and interfaces by asymptotic techniques. Some behaviors are treated: visco-elasticity (Maxwell, Kelvin–Voigt, Norton), Mohr–Coulomb non-associated elasto-plasticity and non-monotone relationship in the strain–stress diagram. Results are given concerning two kinds of stratified thin layers. Numerical validations and algorithms are proposed and presented.

Mots clés: interface laws; asymptotic study; elasto-plasticity; non-monotone behavior; finite elements

Domaines: Mécanique [physics]

Frédéric Lebon, Raffaella Rizzoni, Sylvie Ronel-Idrissi. Asymptotic analysis of some non-linear soft thin layers. Computers & Structures, 2004, 82 (23-26), pp.1929-1938. ⟨10.1016/j.compstruc.2004.03.074⟩. ⟨hal-00088238⟩