Abstract
The goal of optimal shape design problems is to find a shape of the structure, belonging to an apriori defined class U ad and minimizing a cost functional J on U ad . Shape optimization of systems, governed by equations is now more or less standard. On the other hand there exist a lot of problems where the mathematical model leads to the so called variational inequality. It is the aim of this contribution to extend optimal shape design problems to systems described by variational inequalities. It is well known that the optimal control of such systems has one specific feature, namely the problem is non-smooth. Here we deal with one of the most typical applications of variational inequalities in solid mechanics, namely with the so called contact problems for linearly elastic bodies. A detailed mathematical analysis can be found in [3].
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© 1995 Springer Science+Business Media New York
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Haslinger, J. (1995). Contact Shape Optimization. In: Borggaard, J., Burkardt, J., Gunzburger, M., Peterson, J. (eds) Optimal Design and Control. Progress in Systems and Control Theory, vol 19. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0839-6_12
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DOI: https://doi.org/10.1007/978-1-4612-0839-6_12
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6916-8
Online ISBN: 978-1-4612-0839-6
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