Frictionless contact problem with adhesion for nonlinear elastic materials
| dc.contributor.author | Touzaline, Arezki | |
| dc.date.accessioned | 2021-08-19T17:22:11Z | |
| dc.date.available | 2021-08-19T17:22:11Z | |
| dc.date.issued | 2007-12-12 | |
| dc.description.abstract | We consider a quasistatic frictionless contact problem for a nonlinear elastic body. The contact is modelled with Signorini's conditions. In this problem we take into account of the adhesion which is modelled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We derive a variational formulation of the mechanical problem and we establish an existence and uniqueness result by using arguments of time-dependent variational inequalities, differential equations and Banach fixed point. Moreover, we prove that the solution of the Signorini contact problem can be obtained as the limit of the solution of a penalized problem as the penalization parameter converges to 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Touzaline, A. (2007). Frictionless contact problem with adhesion for nonlinear elastic materials. <i>Electronic Journal of Differential Equations, 2007</i>(174), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14393 | |
| 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Nonlinear elasticity | |
| dc.subject | Adhesive contact | |
| dc.subject | Frictionless | |
| dc.subject | Variational inequality | |
| dc.subject | Weak solution | |
| dc.title | Frictionless contact problem with adhesion for nonlinear elastic materials | |
| dc.type | Article |