| Title:
|
Shape optimization of materially non-linear bodies in contact (English) |
| Author:
|
Haslinger, J. |
| Author:
|
Mäkinen, R. A. E. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
171-193 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Optimal shape design problem for a deformable body in contact with a rigid foundation is studied. The body is made from material obeying a nonlinear Hooke’s law. We study the existence of an optimal shape as well as its approximation with the finite element method. Practical realization with nonlinear programming is discussed. A numerical example is included. (English) |
| Keyword:
|
shape optimization |
| Keyword:
|
sensitivity analysis |
| Keyword:
|
stress-strain relations |
| Keyword:
|
contact |
| MSC:
|
49J20 |
| MSC:
|
49K20 |
| MSC:
|
49Q10 |
| MSC:
|
73C50 |
| MSC:
|
73T05 |
| MSC:
|
73k40 |
| MSC:
|
74P99 |
| idZBL:
|
Zbl 0902.49024 |
| idMR:
|
MR1441629 |
| DOI:
|
10.1023/A:1022465504489 |
| . |
| Date available:
|
2009-09-22T17:54:23Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134352 |
| . |
| 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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[8] : The NAG Fortran Library, Mark 16.(1993), Oxford: The Numerical Algorithms Group Limited. |
| 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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| . |
