A Post-Treatment of the Homogenization Method for Shape Optimization - Archive ouverte HAL
Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2008

A Post-Treatment of the Homogenization Method for Shape Optimization

Résumé

We propose an alternative to the classical post-treatment of the homogenization method for shape optimization. Rather than penalize the material density once the optimal composite shape is obtained (by the homogenization method) in order to produce a workable shape close to the optimal one, we macroscopically project the microstructure of the former through an appropriate procedure that roughly consists in laying the material along the directions of lamination of the composite. We have tested our approach in the framework of compliance minimization in two-dimensional elasticity. Numerical results are provided.
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Dates et versions

hal-04563402 , version 1 (29-04-2024)

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O. Pantz, K. Trabelsi. A Post-Treatment of the Homogenization Method for Shape Optimization. SIAM Journal on Control and Optimization, 2008, 47 (3), pp.1380-1398. ⟨10.1137/070688900⟩. ⟨hal-04563402⟩
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