Dynamic contact with Signorini's condition and slip rate dependent friction
| dc.contributor.author | Kuttler, Kenneth ( ) | |
| dc.contributor.author | Shillor, Meir (  0000-0001-6811-9524 ) | |
| dc.date.accessioned | 2021-04-26T15:46:23Z | |
| dc.date.available | 2021-04-26T15:46:23Z | |
| dc.date.issued | 2004-06-11 | |
| dc.identifier.citation | Kuttler, K., & Shillor, M. (2004). Dynamic contact with Signorini's condition and slip rate dependent friction. Electronic Journal of Differential Equations, 2004(83), pp. 1-21. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13437 | |
| dc.description.abstract | 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. | en_US |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Dynamic contact | en_US |
| dc.subject | Signorini condition | en_US |
| dc.subject | Slip rate dependent friction | en_US |
| dc.subject | Nonlocal friction | en_US |
| dc.subject | Viscoelastic body | en_US |
| dc.subject | Existence | en_US |
| dc.title | Dynamic contact with Signorini's condition and slip rate dependent friction | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
