| Title:
|
Variational inequalities in plasticity with strain-hardening - equilibrium finite element approach (English) |
| Author:
|
Kestřánek, Zdeněk |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1986 |
| Pages:
|
270-281 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The incremental finite element method is applied to find the numerical solution of the plasticity problem with strain-hardening. Following Watwood and Hartz, the stress field is approximated by equilibrium triangular elements with linear functions. The field of the strain-hardening parameter is considered to be piecewise linear. The resulting nonlinear optimization problem with constraints is solved by the Lagrange multipliers method with additional variables. A comparison of the results obtained with an experiment is given. (English) |
| Keyword:
|
incremental finite element method |
| Keyword:
|
strain-hardening |
| Keyword:
|
equilibrium triangular elements |
| Keyword:
|
nonlinear optimization problem with constraints |
| Keyword:
|
Lagrange multipliers method |
| Keyword:
|
additional variables |
| MSC:
|
49J40 |
| MSC:
|
49M29 |
| MSC:
|
73-08 |
| MSC:
|
73E99 |
| MSC:
|
74C99 |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 0608.73040 |
| idMR:
|
MR0854321 |
| DOI:
|
10.21136/AM.1986.104206 |
| . |
| Date available:
|
2008-05-20T18:30:17Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104206 |
| . |
| 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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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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|
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| . |
