Two-scale homogenization in transmission problems of elasticity with interface jumps |
| |
Authors: | Julia Orlik |
| |
Institution: | 1. Group of Homogenization in Solid Mechanics, Department of SYS , Fraunhofer Institut für Techno- und Wirtschaftsmathematik , Kaiserslautern, D-67663 , Germany orlik@itwm.fhg.de |
| |
Abstract: | The elasticity problem in a periodic structure with prescribed interface jumps in displacements and tractions and oscillating Neumann condition on a part of the external boundary is considered. This work is just a generalization of inhomogeneous Dirichlet and Neumann conditions on the oscillating interface. Such interface jumps arise, e.g. in contact problems with known periodic contact interface. Two-scale approach was applied to the problem and the two-scale convergence was proven. This article also provides a detailed auxiliary analysis for Sobolev functions with interface jumps. |
| |
Keywords: | homogenization multi-scale elasticity interface jumps Neumann condition |
|
|