Dynamic contact with Signorini's condition and slip rate dependent friction
Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip rate dependent friction coefficient and a nonlocal and regularized contact s...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-06-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/83/abstr.html |
| _version_ | 1811277303062200320 |
|---|---|
| author | Kenneth Kuttler Meir Shillor |
| author_facet | Kenneth Kuttler Meir Shillor |
| author_sort | Kenneth Kuttler |
| collection | DOAJ |
| description | Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip rate dependent friction coefficient and a nonlocal and regularized contact stress. The existence in the case of a friction coefficient that is a graph, which describes the jump from static to dynamic friction, is established, too. The proofs employ the theory of set-valued pseudomonotone operators applied to approximate problems and a priori estimates. |
| first_indexed | 2024-04-13T00:13:28Z |
| format | Article |
| id | doaj.art-4ba2e11cc44c489c90f63766a09ac0dc |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T00:13:28Z |
| publishDate | 2004-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-4ba2e11cc44c489c90f63766a09ac0dc2022-12-22T03:11:00ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-06-01200483121Dynamic contact with Signorini's condition and slip rate dependent frictionKenneth KuttlerMeir ShillorExistence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip rate dependent friction coefficient and a nonlocal and regularized contact stress. The existence in the case of a friction coefficient that is a graph, which describes the jump from static to dynamic friction, is established, too. The proofs employ the theory of set-valued pseudomonotone operators applied to approximate problems and a priori estimates.http://ejde.math.txstate.edu/Volumes/2004/83/abstr.htmlDynamic contactSignorini conditionslip rate dependent frictionnonlocal frictionviscoelastic bodyexistence. |
| spellingShingle | Kenneth Kuttler Meir Shillor Dynamic contact with Signorini's condition and slip rate dependent friction Electronic Journal of Differential Equations Dynamic contact Signorini condition slip rate dependent friction nonlocal friction viscoelastic body existence. |
| title | Dynamic contact with Signorini's condition and slip rate dependent friction |
| title_full | Dynamic contact with Signorini's condition and slip rate dependent friction |
| title_fullStr | Dynamic contact with Signorini's condition and slip rate dependent friction |
| title_full_unstemmed | Dynamic contact with Signorini's condition and slip rate dependent friction |
| title_short | Dynamic contact with Signorini's condition and slip rate dependent friction |
| title_sort | dynamic contact with signorini s condition and slip rate dependent friction |
| topic | Dynamic contact Signorini condition slip rate dependent friction nonlocal friction viscoelastic body existence. |
| url | http://ejde.math.txstate.edu/Volumes/2004/83/abstr.html |
| work_keys_str_mv | AT kennethkuttler dynamiccontactwithsignorinisconditionandslipratedependentfriction AT meirshillor dynamiccontactwithsignorinisconditionandslipratedependentfriction |