Optimal Structural Design Contact Problems and High-Speed Penetration

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Optimal Structural Design  Contact Problems and High-Speed Penetration

Optimal Structural Design :
Contact Problems and High-Speed Penetration

by Nikolay V. Banichuk and Svetlana Yu. Ivanova
English | 2017 | ISBN: 3110530805 | 180 Pages | ePUB | 15 MB


This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.

This monograph is devoted to the exposition of new ways of formulating and solving problems of structural optimization with incomplete information. We recall some research results concerning the optimum shape and structural properties of bodies subjected to external loadings. This study is devoted to overcoming mathematical difficulties caused by nonadditive functionals and nonconvex quality criteria and also by incompleteness of information. Most of the attention of the book is devoted to the minimax approach using worst-case scenario, i.e., guaranteed approach. However, a probabilistic approach that does not guarantee the result is also described in the monograph because it gives more "optimistic" results.
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Tags: Optimal, Structural, Design, Contact, Problems, Penetration

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