| Title:
|
A frictional contact problem with adhesion for viscoelastic materials with long memory (English) |
| Author:
|
Kasri, Abderrezak |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
66 |
| Issue:
|
4 |
| Year:
|
2021 |
| Pages:
|
479-508 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a quasistatic contact problem between a viscoelastic material with long-term memory and a foundation. The contact is modelled with a normal compliance condition, a version of Coulomb's law of dry friction and a bonding field which describes the adhesion effect. We derive a variational formulation of the mechanical problem and, under a smallness assumption, we establish an existence theorem of a weak solution including a regularity result. The proof is based on the time-discretization method, the Banach fixed point theorem and arguments of lower semicontinuity, compactness and monotonicity. (English) |
| Keyword:
|
viscoelastic material |
| Keyword:
|
long memory |
| Keyword:
|
adhesion |
| Keyword:
|
quasistatic process |
| Keyword:
|
Coulomb's law of dry friction |
| Keyword:
|
normal compliance |
| Keyword:
|
the time-discretization method |
| Keyword:
|
variational inequality |
| MSC:
|
49J40 |
| MSC:
|
74A55 |
| MSC:
|
74D05 |
| MSC:
|
74F25 |
| MSC:
|
74H20 |
| idZBL:
|
07396165 |
| idMR:
|
MR4283301 |
| DOI:
|
10.21136/AM.2021.0308-19 |
| . |
| Date available:
|
2021-07-09T08:11:06Z |
| Last updated:
|
2023-09-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148970 |
| . |
| Reference:
|
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