Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint

A new approach to produce optimal porous mesostructures and at the same time optimizing the macro structure subject to a compliance cost functional is presented. It is based on a phase-field formulation of topology optimization and uses a local volume constraint (LVC). The main novelty is that the r...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 126; pp. 100 - 114
Main Authors Ebeling-Rump, Moritz, Hömberg, Dietmar, Lasarzik, Robert
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 15.11.2022
Subjects
Additive manufacturing
Linear elasticity
Numerical simulation
Optimality conditions
Phase-field method
Topology optimization
Topology optimization
Optimality conditions
Numerical simulation
Additive manufacturing
Linear elasticity
Phase-field method
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Summary:A new approach to produce optimal porous mesostructures and at the same time optimizing the macro structure subject to a compliance cost functional is presented. It is based on a phase-field formulation of topology optimization and uses a local volume constraint (LVC). The main novelty is that the radius of the LVC may depend both on space and a local stress measure. This allows for creating optimal topologies with heterogeneous mesostructures enforcing any desired spatial grading and accommodating stress concentrations by stress dependent pore size. The resulting optimal control problem is analysed mathematically, numerical results show its versatility in creating optimal macroscopic designs with tailored mesostructures.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2022.09.004