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 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