| Title:
|
Mixed finite element analysis of semi-coercive unilateral contact problems with given friction (English) |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
25-58 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A unilateral contact 2D-problem is considered provided one of two elastic bodies can shift in a given direction as a rigid body. Using Lagrange multipliers for both normal and tangential constraints on the contact interface, we introduce a saddle point problem and prove its unique solvability. We discretize the problem by a standard finite element method and prove a convergence of approximations. We propose a numerical realization on the basis of an auxiliary “bolted” problem and the algorithm of Uzawa. (English) |
| Keyword:
|
unilateral contact |
| Keyword:
|
Tresca’s model of friction |
| Keyword:
|
mixed variational formulation |
| Keyword:
|
Uzawa algorithm |
| MSC:
|
49J40 |
| MSC:
|
65N30 |
| MSC:
|
74M10 |
| MSC:
|
74M15 |
| idZBL:
|
Zbl 1164.49304 |
| idMR:
|
MR2293527 |
| DOI:
|
10.1007/s10492-007-0002-9 |
| . |
| Date available:
|
2009-09-22T18:28:18Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134662 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
