Abstract
Shape optimization problems with uncertainties are considered for a rigid punch interacting with an elastic medium. Considered loads are supposed to be given with incomplete data or described by random variables. Corresponding investigations are respectively performed in the framework of a minimax (worst case scenario) approach or a stochastic approach. As a result of the proposed approaches and applied analytical methods, the optimal designs of the punch are obtained and presented in the paper for various definitions of uncertainties.
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References
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Acknowledgements
The work is performed under support of RFBR (grant 11-08-00030-a), RAS Program 13, Program of Support of Leading Scientific Schools (grant 3288.2010.1).
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Banichuk, N., Ivanova, S. (2013). Uncertainties in Contact Mechanics and Shape Optimization Problems. In: Repin, S., Tiihonen, T., Tuovinen, T. (eds) Numerical Methods for Differential Equations, Optimization, and Technological Problems. Computational Methods in Applied Sciences, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5288-7_19
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DOI: https://doi.org/10.1007/978-94-007-5288-7_19
Publisher Name: Springer, Dordrecht
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