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, non-monotone relationship in the strainstress diagram and contact conditions between the adhesive and the adherents. Numerical validations and algorithms are proposed and presented.
This paper deals with the first-order numerical analysis of thin layers. Theoretical results are recalled and compared with numerical data obtained on two classical examples. The effects of concentrated forces are discussed.
This paper deals with the asymptotic analysis of Mohr-Coulomb and Drucker-Prager soft thin layers bonded with elastic solids. In the frrst 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.
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