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| An Optimal Design Method Based on Small Amplitude Homogenization |
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Citation： |
Sergio GUTIERREZ.An Optimal Design Method Based on Small Amplitude Homogenization[J].Chinese Annals of Mathematics B,2015,36(5):843~854 |
| Page view： 1007
Net amount： 851 |
Authors： |
Sergio GUTIERREZ; |
Foundation： |
This work was supported by the project FONDECYT provided
by the Chilean Commission for Scientific and Technological Research
(No. 1090334). |
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| Abstract： |
An optimal design method for two materials based on small amplitude
homogenization is presented. The method allows to use quite general
objective functions at the price that the two materials should have
small contrasts in their relevant physical parameters. The following
two applications are shown: Stress constrained compliance
minimization and defect location in elastic bodies. |
Keywords： |
Homogenization, Inverse problems, Relaxation, Stress concentration |
Classification： |
49J45, 74Q05, 65N21 |
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