| Title:
|
The interface crack with Coulomb friction between two bonded dissimilar elastic media (English) |
| Author:
|
Itou, Hiromichi |
| Author:
|
Kovtunenko, Victor A. |
| Author:
|
Tani, Atusi |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
69-97 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study a model of interfacial crack between two bonded dissimilar linearized elastic media. The Coulomb friction law and non-penetration condition are assumed to hold on the whole crack surface. We define a weak formulation of the problem in the primal form and get the equivalent primal-dual formulation. Then we state the existence theorem of the solution. Further, by means of Goursat-Kolosov-Muskhelishvili stress functions we derive convergent expansions of the solution near the crack tip. (English) |
| Keyword:
|
linearized elasticity |
| Keyword:
|
singularities at the crack tip |
| Keyword:
|
interfacial crack |
| Keyword:
|
non-penetration condition |
| Keyword:
|
Coulomb friction |
| MSC:
|
35B65 |
| MSC:
|
35C20 |
| MSC:
|
35D30 |
| MSC:
|
35J57 |
| MSC:
|
35J65 |
| MSC:
|
35Q74 |
| MSC:
|
49J40 |
| MSC:
|
74B05 |
| MSC:
|
74M10 |
| idZBL:
|
Zbl 1224.35054 |
| idMR:
|
MR2807427 |
| DOI:
|
10.1007/s10492-011-0010-7 |
| . |
| Date available:
|
2011-01-03T14:51:09Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141407 |
| . |
| Reference:
|
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| Reference:
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