Optimal layout of multiple bi-modulus materials

Cai, K, Cao, J, Shi, J, Liu, L and Qin, Q 2016, 'Optimal layout of multiple bi-modulus materials', Structural and Multidisciplinary Optimization, vol. 53, no. 4, pp. 801-811.

Document type: Journal Article
Collection: Journal Articles

Title Optimal layout of multiple bi-modulus materials
Author(s) Cai, K
Cao, J
Shi, J
Liu, L
Qin, Q
Year 2016
Journal name Structural and Multidisciplinary Optimization
Volume number 53
Issue number 4
Start page 801
End page 811
Total pages 11
Publisher Springer
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.
Subject Structural Engineering
Keyword(s) Bi-modulus material
Isotropic material
Material replacement
Multi-material structures
Topology optimization
DOI - identifier 10.1007/s00158-015-1365-2
Copyright notice © 2015, Springer-Verlag Berlin Heidelberg.
ISSN 1615-147X
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