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Numerical approach of a frictionless contact problem for elastic-viscoplastic materials with normal compliance
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ferń, Jośe Ramon |
| Copyright Year | 2000 |
| Abstract | We consider a frictionless contact problem between an elastic–viscoplastic body and an obstacle. The process is assumed to be quasistatic and the contact is modeled with normal compliance. We present a variational formulation of the problem and prove the existence and uniqueness of the weak solution. The proof is based on arguments on monotone operators and fixed point. We then study the numerical approach of the problem using spatially semi-discrete and fully discrete finite elements schemes with implicit and explicit discretization in time. We show the existence of the unique solution for each of the schemes and derive error estimates on the approximative solutions. Finally, we present some numerical results involving examples in one, two and three dimensions. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.ucsd.edu/~helton/MTNSHISTORY/CONTENTS/2000PERPIGNAN/CDROM/articles/SI5_7.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
