Journal article
Dynamic frictionless contact in linear viscoelasticity
IMA journal of numerical analysis, Vol.29(1), pp.43-71
01/01/2009
DOI: 10.1093/imanum/drm029
Abstract
In this work, we formulate a dynamic frictionless contact problem with linear viscoelasticity of Kelvin-Voigt type, based on the Signorini contact conditions. We show existence of solutions, and investigate the possibility for obtaining an energy balance. Employing time discretization and the finite-element method, we compute numerical solutions. Our numerical scheme is implemented with non-smooth Newton's method which solves the complementarity problem. The numerical results support the idea that the energy losses in the limit of the numerical solution are equal to the losses due to viscosity.
Details
- Title: Subtitle
- Dynamic frictionless contact in linear viscoelasticity
- Creators
- Jeongho Ahn - Purchase CollegeDavid E Stewart - University of Iowa
- Resource Type
- Journal article
- Publication Details
- IMA journal of numerical analysis, Vol.29(1), pp.43-71
- Publisher
- OXFORD UNIV PRESS
- DOI
- 10.1093/imanum/drm029
- ISSN
- 0272-4979
- eISSN
- 1464-3642
- Number of pages
- 29
- Language
- English
- Date published
- 01/01/2009
- Academic Unit
- Mathematics
- Record Identifier
- 9984241159302771
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