Design for maximal flexibility as a simple computational model of damage

被引：18

作者：

Achtziger, W

Bendsoe, MP

机构：

[1] Mathematical Institute, University of Bayreuth, Bayreuth

[2] Mathematical Institute, Technical University of Denmark, Lyngby

来源：

STRUCTURAL OPTIMIZATION | 1995年 / 10卷 / 3-4期

关键词：

Algorithms - Calculations - Defects - Elasticity - Failure (mechanical) - Mathematical models - Optimization - Stiffness matrix - Structural loads - Structural members - Trusses;

D O I：

10.1007/BF01742601

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We consider a simple model of damage, where damage is interpreted as the removal of material from a given truss structure. Occuring damage in a given scenario is modelled by a damage contribution which maximizes compliance. Assuming linear elasticity this leads to an optimization problem formulated in displacements and a set of variables which describe the damaged material of each bar in the truss. A sequence of such problems models damage as a time-dependent process, i.e. damage evolution is considered. A simple ad-hoc-method for the resulting nonconvex problems can be interpreted as a descent algorithm of feasible directions which reaches a local optimum in a finite number of steps. Some numerical examples show the use of the algorithm.

引用

页码：258 / 268

页数：11

共 9 条

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