Layout optimization for multi-bi-modulus materials system under multiple load cases

Jiao Shi; Jing Cao; Kun Cai; Zhenzhong Wang; Qing Hua Qin

doi:10.1007/s00366-016-0450-5

Layout optimization for multi-bi-modulus materials system under multiple load cases

Jiao Shi, Jing Cao, Kun Cai, Zhenzhong Wang^*, Qing Hua Qin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

An optimization model is presented for obtaining optimal layout of multiple bi-modulus materials systems under multiple load cases (MLC). In the optimization model, the objective function is the linearly weighted structural compliance under MLC. The bi-modulus materials in a finite element are replaced by isotropic materials according to the stress state of that element. The equivalent mechanical properties of an element are expressed as the power–law function of the volume fractions (design variables) and moduli of the solid phases. Numerical experiments are presented to verify the validity and efficiency of the present algorithm. The effects of factors including the bi-modulus behavior of materials, the load directions and the weighting schemes of MLC are also investigated numerically.

Original language	English
Pages (from-to)	745-753
Number of pages	9
Journal	Engineering with Computers
Volume	32
Issue number	4
DOIs	https://doi.org/10.1007/s00366-016-0450-5
Publication status	Published - 1 Oct 2016

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title = "Layout optimization for multi-bi-modulus materials system under multiple load cases",

abstract = "An optimization model is presented for obtaining optimal layout of multiple bi-modulus materials systems under multiple load cases (MLC). In the optimization model, the objective function is the linearly weighted structural compliance under MLC. The bi-modulus materials in a finite element are replaced by isotropic materials according to the stress state of that element. The equivalent mechanical properties of an element are expressed as the power–law function of the volume fractions (design variables) and moduli of the solid phases. Numerical experiments are presented to verify the validity and efficiency of the present algorithm. The effects of factors including the bi-modulus behavior of materials, the load directions and the weighting schemes of MLC are also investigated numerically.",

keywords = "Bi-modulus materials, Multi-material structures, Multiple load cases, SIMP, Topology optimization",

author = "Jiao Shi and Jing Cao and Kun Cai and Zhenzhong Wang and Qin, {Qing Hua}",

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T1 - Layout optimization for multi-bi-modulus materials system under multiple load cases

AU - Shi, Jiao

AU - Cao, Jing

AU - Cai, Kun

AU - Wang, Zhenzhong

AU - Qin, Qing Hua

PY - 2016/10/1

Y1 - 2016/10/1

N2 - An optimization model is presented for obtaining optimal layout of multiple bi-modulus materials systems under multiple load cases (MLC). In the optimization model, the objective function is the linearly weighted structural compliance under MLC. The bi-modulus materials in a finite element are replaced by isotropic materials according to the stress state of that element. The equivalent mechanical properties of an element are expressed as the power–law function of the volume fractions (design variables) and moduli of the solid phases. Numerical experiments are presented to verify the validity and efficiency of the present algorithm. The effects of factors including the bi-modulus behavior of materials, the load directions and the weighting schemes of MLC are also investigated numerically.

AB - An optimization model is presented for obtaining optimal layout of multiple bi-modulus materials systems under multiple load cases (MLC). In the optimization model, the objective function is the linearly weighted structural compliance under MLC. The bi-modulus materials in a finite element are replaced by isotropic materials according to the stress state of that element. The equivalent mechanical properties of an element are expressed as the power–law function of the volume fractions (design variables) and moduli of the solid phases. Numerical experiments are presented to verify the validity and efficiency of the present algorithm. The effects of factors including the bi-modulus behavior of materials, the load directions and the weighting schemes of MLC are also investigated numerically.

KW - Bi-modulus materials

KW - Multi-material structures

KW - Multiple load cases

KW - SIMP

KW - Topology optimization

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DO - 10.1007/s00366-016-0450-5

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VL - 32

SP - 745

EP - 753

JO - Engineering with Computers

JF - Engineering with Computers

IS - 4

ER -

Layout optimization for multi-bi-modulus materials system under multiple load cases

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