Asymptotics for a thin elastic fiber in contact with a rigid body
- In this work a 3-dimensional contact elasticity problem for a thin fiber and a rigid foundation is studied. We describe the contact condition by a linear Robin-condition (by meaning of the penalized and linearized non-penetration and friction conditions).
The dimension of the problem is reduced by an asymptotic approach. Scaling the Robin parameters appropriately we obtain a recurrent chain of Neumann type boundary value problems which are considered only in the microscopic scale. The problem for the leading term is a homogeneous Neumann problem, hence the leading term depends only on the slow variable. This motivates the choice of a multiplicative ansatz in the asymptotic expansion.
The theoretical results are illustrated with numerical examples performed with a commercial finite-element software-tool.
|Author:||Daniel Zoufiné Baré Contreras|
|URN (permanent link):||urn:nbn:de:hbz:386-kluedo-28280|
|Document Type:||Master's Thesis|
|Language of publication:||English|
|Year of Publication:||2010|
|Publishing Institute:||Technische Universität Kaiserslautern|
|Granting Institute:||Technische Universität Kaiserslautern|
|Faculties / Organisational entities:||Fachbereich Mathematik|
|DDC-Cassification:||518 Numerische Analysis|