Abstract
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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Pereira, C.E.L., Bittencourt, M.L. Topological sensitivity analysis in large deformation problems. Struct Multidisc Optim 37, 149–163 (2008). https://doi.org/10.1007/s00158-007-0223-2
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DOI: https://doi.org/10.1007/s00158-007-0223-2