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Asymptotic Analysis of Variational Inequalities

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Applications of the Topological Derivative Method

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 188))

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Abstract

Contact problems with given friction are considered for plane elasticity in the framework of shape-topological optimization. The asymptotic analysis of the second kind variational inequalities in plane elasticity is performed for the purposes of shape-topological optimization. To this end, the saddle point formulation for the associated Lagrangian is introduced for the variational inequality.

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Correspondence to Antonio André Novotny .

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Novotny, A.A., Sokołowski, J., Żochowski, A. (2019). Asymptotic Analysis of Variational Inequalities. In: Applications of the Topological Derivative Method. Studies in Systems, Decision and Control, vol 188. Springer, Cham. https://doi.org/10.1007/978-3-030-05432-8_9

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