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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共 27 条
[1]  
Bendsϕe MP(1989)Optimal shape design as a material distribution problem Struct Optim 1 193-202
[2]  
Bendsϕe MP(1999)Material interpolation schemes in topology optimization Math Appl Mech Eng 69 635-654
[3]  
Sigmund O(2001)Topology optimization of continuum structures: a review Appl Mech Rev 54 331-390
[4]  
Eschenauer HA(2001)The topological asymptotic for PDE systems: the elasticity case SIAM J Control Optim 39 1756-1778
[5]  
Olhoff N(1973)Local and global smoothing of discontinuous finite element functions using a least square method Int J Numer Methods Eng 8 461-480
[6]  
Garreau S(2004)Topology optimization of nonlinear structures Finite Elem Anal Des 40 1417-1427
[7]  
Guillaume P(2003)Topological sensitivity analysis Comput Methods Appl Mech Eng 192 803-929
[8]  
Masmoudi M(1992)Generalized shape optimization without homogenization Struct Optim 4 250-254
[9]  
Hinton E(1995)Layout optimization of structures Appl Mech Rev 48 41-119
[10]  
Campbell JS(1997)Evolutionary optimization of maximizing the difference between two natural frequencies Struct Optim 13 148-154
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