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Erschienen in: Structural and Multidisciplinary Optimization 4/2016

20.11.2015 | RESEARCH PAPER

Optimal layout of multiple bi-modulus materials

verfasst von: Kun Cai, Jing Cao, Jiao Shi, Lingnan Liu, Qing H. Qin

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 4/2016

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Abstract

A modified solid isotropic material with penalization (SIMP) method is proposed for solving layout optimization problems of multiple bi-modulus materials in a continuum. In the present algorithm, each bi-modulus material is replaced by two distinct isotropic materials to avoid structural reanalysis for each update of the design domains. To reduce the error in local stiffness due to the material replacement, the modification factor of each finite element is calculated according to the local stress state and the moduli used in the previous structural analysis. Three numerical examples are considered to demonstrate the validity and applicability of the present approach. Numerical results show that the final layout of materials is determined by factors that include the moduli difference of each bi-modulus material and the difference among material moduli.

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Metadaten
Titel
Optimal layout of multiple bi-modulus materials
verfasst von
Kun Cai
Jing Cao
Jiao Shi
Lingnan Liu
Qing H. Qin
Publikationsdatum
20.11.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 4/2016
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-015-1365-2

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