Topological sensitivity analysis in large deformation problems

被引：0
|
作者：
C. E. L. Pereira
M. L. Bittencourt
机构：
[1] State University of Campinas (UNICAMP),Department of Mechanical Design (DPM), Faculty of Mechanical Engineering (FEM)
来源：
Structural and Multidisciplinary Optimization | 2008年 / 37卷
关键词：
Topological optimization; Finite element method; Linear and nonlinear elasticity; Sensitivity analysis; Topological derivative;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of the present work is to apply the topological sensitivity analysis (TSA) to large-deformation elasticity based on the total Lagrangian formulation. The TSA results in a scalar function, denominated topological derivative, that gives for each point of the domain the sensitivity of a given cost function when a small hole is created. An approximated expression for the topological derivative is obtained by numerical asymptotic analysis. Numerical results of the presented approach are considered for elastic plane problems.
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