Optimal Structural Design

Contact Problems and High-Speed Penetration

Nikolay V. Banichuk, Svetlana Yu. Ivanova

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English

De Gruyter
11 September 2017

Numerical analysis; Optimisation; Applied mathematics; Dynamics & statics; Mechanical engineering; Structural engineering; Building construction & materials

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.

Contents Part I: Quasi-statics of contact interaction Optimal contact pressure and optimal punch shape Influence of forces applied outside contact region Shape optimization of punch moving with friction Optimization in contact problems under incomplete data Application of probabilistic data Minimization of material wear Multiobjective optimization of contact pressure, wear of material, and energy dissipation

Part II: High-speed penetration into deformable medium Optimization of impactor shape Strikers of nonaxisymmetric optimal shape Multiobjective optimization of rigid shell Optimization of truncated rotating strikers Penetration into solid medium under strength constraints Some problems of global multipurpose structural optimization Analytical and numerical estimations of optimal parameters of layered slab Striker shape optimization using condition of minimal ballistic limit velocity for layered slabs

Part III: Appendices Nonadditive functionals and extremum conditions Multivariant estimation of functionals and their sensitivity Basic ideas of multicriteria optimization Evolutionary algorithm of global optimization

By: Nikolay V. Banichuk, Svetlana Yu. Ivanova
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm, Spine: 13mm
Weight: 546g
ISBN: 9783110530803
ISBN 10: 3110530805
Pages: 203
Publication Date: 11 September 2017
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Nikolay V. Banichuk and Svetlana Yu. Ivanova, Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Russia.

Reviews for Optimal Structural Design: Contact Problems and High-Speed Penetration

"""The book is intended for graduate and postgraduate students in engineering and applied mechanics. Many examples of engineering problems for concrete structures as well as numerical computational results nicely illustrate the approach."" Stanislaw Migórski in: Zentralblatt MATH 1384"