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Structural and Multidisciplinary Optimization

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01.08.2010 | Research Paper

Size-dependent optimal microstructure design based on couple-stress theory

verfasst von: Wenzheng Su, Shutian Liu

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 2/2010

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Abstract

The purpose of this paper is to propose a size-dependent topology optimization formulation of periodic cellular material microstructures, based on the effective couple-stress continuum model. The present formulation consists of finding the optimal layout of material that minimizes the mean compliance of the macrostructure subject to the constraint of permitted material volume fraction. We determine the effective macroscopic couple-stress constitutive constants by analyzing a unit cell with specified boundary conditions with the representative volume element (RVE) method, based on equivalence of strain energy. The computational model is established by the finite element (FE) method, and the design density and FE stiffness of the RVE are related by the solid isotropic material with penalization power (SIMP) law. The required sensitivity formulation for gradient-based optimization algorithm is also derived. Numerical examples demonstrate that this present formulation can express the size effect during the optimization procedure and provide precise topologies without increase in computational cost.

Vorheriger Artikel Identification of material parameters for McGinty’s model using adaptive RBFs and optimization

Nächster Artikel Reliability-based design optimization using a family of methods of moving asymptotes

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Titel: Size-dependent optimal microstructure design based on couple-stress theory
verfasst von: Wenzheng Su
Shutian Liu
Publikationsdatum: 01.08.2010
Verlag: Springer-Verlag
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 2/2010
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-010-0484-z

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