Journal
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Volume 17, Issue 3, Pages 705-721Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1051/cocv/2010010
Keywords
Topological sensitivity; topological derivative; topology optimization; Kirchhoff plates
Categories
Funding
- CNPq (Brazilian Research Council) [472182/2007-2]
- FAPERJ (Research Foundation of the State of Rio de Janeiro) [E-26/171.099/2006]
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The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been fully developed for a wide range of second-order differential operators. Since we are dealing here with a forth-order operator, we perform a complete mathematical analysis of the problem.
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