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Topological sensitivity analysis in large deformation problems
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DOI：10.1007/s00158-007-0223-2.png)
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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.
Keyword:
Topological optimization
Finite element method
Linear and nonlinear elasticity
Sensitivity analysis
Topological derivative
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1.7W
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