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 |
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URN: | urn:nbn:de:hbz:386-kluedo-28280 |
Publisher: | 2010 |
Advisor: | Julia Orlik |
Document Type: | Diploma Thesis |
Language of publication: | English |
Date of Publication (online): | 2011/12/16 |
Year of first Publication: | 2010 |
Publishing Institution: | Technische Universität Kaiserslautern |
Granting Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2011/12/16 |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vom 16.11.2011 |