A quasistatic bilateral contact problem with friction for nonlinear elastic materials
| dc.contributor.author | Touzaline, Arezki | |
| dc.date.accessioned | 2021-07-16T17:20:55Z | |
| dc.date.available | 2021-07-16T17:20:55Z | |
| dc.date.issued | 2006-05-01 | |
| dc.description.abstract | We consider a mathematical model describing the bilateral contact between a deformable body and a foundation. We use a nonlinear elastic constitutive law. The contact takes into account the effects of friction, which are modelled with the regularized friction law. We derive a variational formulation of the problem and establish the existence of a weak solution under a smallness assumption of the friction coefficient. The proof is based on arguments of compactness, lower semicontinuity and time discretization. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Touzaline, A. (2006). A quasistatic bilateral contact problem with friction for nonlinear elastic materials. <i>Electronic Journal of Differential Equations, 2006</i>(58), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13931 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Nonlinear elasticity | |
| dc.subject | Bilateral contact | |
| dc.subject | Friction | |
| dc.subject | Variational inequality | |
| dc.subject | Weak solution | |
| dc.title | A quasistatic bilateral contact problem with friction for nonlinear elastic materials | |
| dc.type | Article |