MULTIDISCIPLINARY FREE MATERIAL OPTIMIZATION

作者：Haslinger J^*; Kocvara M; Leugering G; Stingl M

来源：SIAM Journal on Applied Mathematics, 2010, 70(7): 2709-2728.

DOI：10.1137/090774446

• structural optimization
• material optimization
• H-convergence
• semidefinite programming
• nonlinear programming

We present a mathematical framework for the so-called multidisciplinary free material optimization (MDFMO) problems, a branch of structural optimization in which the full material tensor is considered as a design variable. We extend the original problem statement by a class of generic constraints depending either on the design or on the state variables. Among the examples are local stress or displacement constraints. We show the existence of optimal solutions for this generalized free material optimization (FMO) problem and discuss convergent approximation schemes based on the finite element method.

• 出版日期2010