TY - JOUR
T1 - Topology optimization of structures designed with multiphase materials
T2 - volume constraint or mass constraint?
AU - Gao, Tong
AU - Zhang, Weihong
AU - Pierre, Duysinx
PY - 2011/3
Y1 - 2011/3
N2 - Instead of adopting the common idea of using volume constraint in topology optimization, this work is focused on the topology optimization of structures designed with multiphase materials and mass constraint. Related structural optimization models involving mass constraint and material interpolation model are proposed. Based on the study of two types of material interpolation models, i.e. GSIMP and UIM, the former is found to introduce the nonlinearity into the mass constraint which brings numerical difficulties in searching the global optimum of the optimization problem. The adopted UIM model, however, makes the mass constraint linear and design variable separable, which favors the mathematical programming approaches, especially the convex programming methods. Numerical examples show that the presented scheme is reliable and efficient to deal with the structural topology design problems of multiple materials with mass constraint. The mass constraint is proved to be more significant and important than the volume constraint in structural topology optimization.
AB - Instead of adopting the common idea of using volume constraint in topology optimization, this work is focused on the topology optimization of structures designed with multiphase materials and mass constraint. Related structural optimization models involving mass constraint and material interpolation model are proposed. Based on the study of two types of material interpolation models, i.e. GSIMP and UIM, the former is found to introduce the nonlinearity into the mass constraint which brings numerical difficulties in searching the global optimum of the optimization problem. The adopted UIM model, however, makes the mass constraint linear and design variable separable, which favors the mathematical programming approaches, especially the convex programming methods. Numerical examples show that the presented scheme is reliable and efficient to deal with the structural topology design problems of multiple materials with mass constraint. The mass constraint is proved to be more significant and important than the volume constraint in structural topology optimization.
KW - Mass constraint
KW - Multiphase materials
KW - Structural topology optimization
KW - Volume constraint
UR - http://www.scopus.com/inward/record.url?scp=79955704701&partnerID=8YFLogxK
M3 - 文章
AN - SCOPUS:79955704701
SN - 0459-1879
VL - 43
SP - 296
EP - 305
JO - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
JF - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
IS - 2
ER -