Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials
This paper shows the existence of a solution of the quasi-static unilateral contact problem with nonlocal friction law for nonlinear elastic materials. We set up a variational incremental problem which admits a solution, when the friction coefficient is small enough, and then by passing to the limit...
| الحاوية / القاعدة: | Electronic Journal of Differential Equations |
|---|---|
| المؤلفون الرئيسيون: | , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
Texas State University
2005-09-01
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://ejde.math.txstate.edu/Volumes/2005/99/abstr.html |
| _version_ | 1852737423032713216 |
|---|---|
| author | Alain Mignot Arezki Touzaline |
| author_facet | Alain Mignot Arezki Touzaline |
| author_sort | Alain Mignot |
| collection | DOAJ |
| container_title | Electronic Journal of Differential Equations |
| description | This paper shows the existence of a solution of the quasi-static unilateral contact problem with nonlocal friction law for nonlinear elastic materials. We set up a variational incremental problem which admits a solution, when the friction coefficient is small enough, and then by passing to the limit with respect to time we obtain a solution. |
| format | Article |
| id | doaj-art-40cd099dd3cd4bdc90aa3d4d511dbb64 |
| institution | Directory of Open Access Journals |
| issn | 1072-6691 |
| language | English |
| publishDate | 2005-09-01 |
| publisher | Texas State University |
| record_format | Article |
| spelling | doaj-art-40cd099dd3cd4bdc90aa3d4d511dbb642025-08-19T21:06:08ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-09-01200599113Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materialsAlain MignotArezki TouzalineThis paper shows the existence of a solution of the quasi-static unilateral contact problem with nonlocal friction law for nonlinear elastic materials. We set up a variational incremental problem which admits a solution, when the friction coefficient is small enough, and then by passing to the limit with respect to time we obtain a solution.http://ejde.math.txstate.edu/Volumes/2005/99/abstr.htmlNonlinear elasticitynonlocal frictionincrementalvariational inequalitymonotone |
| spellingShingle | Alain Mignot Arezki Touzaline Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials Nonlinear elasticity nonlocal friction incremental variational inequality monotone |
| title | Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials |
| title_full | Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials |
| title_fullStr | Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials |
| title_full_unstemmed | Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials |
| title_short | Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials |
| title_sort | existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials |
| topic | Nonlinear elasticity nonlocal friction incremental variational inequality monotone |
| url | http://ejde.math.txstate.edu/Volumes/2005/99/abstr.html |
| work_keys_str_mv | AT alainmignot existenceofsolutionsforquasistaticproblemsofunilateralcontactwithnonlocalfrictionfornonlinearelasticmaterials AT arezkitouzaline existenceofsolutionsforquasistaticproblemsofunilateralcontactwithnonlocalfrictionfornonlinearelasticmaterials |