Finite element analysis of free material optimization problem

被引：2
|
作者：
MacH J. [1 ]
机构：
[1] Mathematical Institute, Charles University, 186 75 Praha 8
来源：
Applications of Mathematics | 2004年 / 49卷 / 4期
关键词：
finite elements; material optimization; structural optimization; topology optimization;
D O I：
10.1007/s10492-004-6401-2
中图分类号：
学科分类号：
摘要：
Free material optimization solves an important problem of structural engineering, i.e. to find the stiffest structure for given loads and boundary conditions. Its mathematical formulation leads to a saddle-point problem. It can be solved numerically by the finite element method. The convergence of the finite element method can be proved if the spaces involved satisfy suitable approximation assumptions. An example of a finite-element discretization is included. © 2004 Mathematical Institute, Academy of Sciences of Czech Republic.
引用
收藏
页码：285 / 307
页数：22
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