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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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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DOI: https://doi.org/10.1007/978-3-030-05432-8_9
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-05431-1
Online ISBN: 978-3-030-05432-8
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