Simultaneous shape, topology, and homogenized properties optimization

DOI10.1007/s00158-006-0080-4zbMath1273.74391OpenAlexW2007609349MaRDI QIDQ373907

Karim Trabelsi, Olivier Pantz

Publication date: 25 October 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-006-0080-4

Mathematics Subject Classification ID

Optimization of other properties in solid mechanics (74P10) Homogenization in equilibrium problems of solid mechanics (74Q05) Optimization of shapes other than minimal surfaces (49Q10) PDEs in connection with mechanics of deformable solids (35Q74)

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On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives, An optimization algorithm for automatic structural design, Flip procedure in geometric approximation of multiple-component shapes – Application to multiple-inclusion detection

Uses Software

• FreeFem++

Cites Work

• Structural optimization with FreeFem++
• Incorporating topological derivatives into level set methods.
• The shape and topological optimizations' connection
• On the Topological Derivative in Shape Optimization
• Shape optimization by the homogenization method
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