Read more
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
About the author
Nikolay V. Banichuk and Svetlana Yu. Ivanova, Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Russia.
Report
"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
