Article
| Title: | Dynamic contact problem with wear, damage, and thermal effect (English) |
| Author: | Selmani, Mohamed |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 2 |
| Year: | 2026 |
| Pages: | 219-242 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We consider a dynamic problem describing frictional contact between a thermo-elasto-viscoplastic body and a foundation. The contact is frictional and bilateral with a moving rigid foundation that results in the wear of the contacting surface. The constitutive law includes a temperature effect described by the first-order evolution equation and a damage effect described by the parabolic inclusion with the homogeneous Neumann boundary condition. We present a variational formulation of the problem and establish the existence and uniqueness of the weak solution. The proof is based on parabolic variational inequalities, first order evolutionary variational equations, and fixed point arguments. (English) |
| Keyword: | thermo-elasto-viscoplastic material |
| Keyword: | dynamic process |
| Keyword: | bilateral contact |
| Keyword: | friction |
| Keyword: | damage |
| Keyword: | frictional heat generation |
| Keyword: | weak solution |
| Keyword: | fixed point |
| MSC: | 74F05 |
| MSC: | 74M10 |
| MSC: | 74M15 |
| MSC: | 74R99 |
| DOI: | 10.21136/AM.2026.0169-25 |
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| Date available: | 2026-07-31T06:56:27Z |
| Last updated: | 2026-08-03 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153662 |
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