An Interface Problem in Solid Mechanics with a Linear Elastic and a Hyperelastic Material

✍ Scribed by Carsten Carstensen

• Publisher: John Wiley and Sons
• Year: 1993
• Tongue: English
• Weight: 520 KB
• Volume: 163
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19931630122

✦ Synopsis

Abstract

The three dimensional interface problem is considered with the homogeneous Lamé system in an unbounded exterior domain and some quasistatic nonlinear elastic material behavior in a bounded interior Lipschitz domain. The nonlinear material is of the Mooney‐Rivlin type of polyconvex materials. We give a weak formulation of the interface problem based on minimizing the energy, and rewrite it in terms of boundary integral operators. Then, we prove existence of solutions.