The topological asymptotic for PDE systems: The elasticity case
The topological asymptotic for PDE systems: The elasticity case
复制标题
DOI：
10.1137/s0363012900369538
复制
发表时间：
2001-04-12
影响因子：
2.2
通讯作者：
Masmoudi, M
中科院分区：
文献类型：
--
作者：
Garreau, S;Guillaume, P;Masmoudi, M
拓扑敏感性分析的目的是获得设计函数关于小孔创建的渐近展开。在本文中，通过使用伴随方法和域截断技术的改进，在一般泛函和任意形状孔的线性弹性背景下获得和分析了这种展开。该方法具有通用性，可以轻松适应其他线性偏微分方程和其他类型的边界条件。
The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a design functional with respect to the creation of a small hole. In this paper, such an expansion is obtained and analyzed in the context of linear elasticity for general functionals and arbitrary shaped holes by using an adaptation of the adjoint method and a domain truncation technique. The method is general and can be easily adapted to other linear PDEs and other types of boundary conditions.