Optimal Structural Design: Contact Problems and High-Speed Penetration

✍ Scribed by Nikolay V. Banichuk; Svetlana Yu. Ivanova

• Publisher: De Gruyter
• Year: 2017
• Tongue: English
• Leaves: 206
• Category: Library

✦ Synopsis

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.

• A detailed presentation of applications of structural optimization techniques
• Considers two concrete problems in contact mechanics and high-speed penetration
• Both the analytical and the numerical aspects of the considered problems are covered

✦ Table of Contents

Preface
Contents
Part I: Quasi-statics of contact interaction
1. Optimal contact pressure and optimal punch shape
2. Influence of forces applied outside contact region
3. Shape optimization of punch moving with friction
4. Optimization in contact problems under incomplete data
5. Application of probabilistic data
6. Minimization of material wear
7. Multiobjective optimization of contact pressure, wear of material, and energy dissipation
Part II: High-speed penetration into deformable medium
8. Optimization of impactor shape
9. Strikers of nonaxisymmetric optimal shape
10. Multiobjective optimization of rigid shell
11. Optimization of truncated rotating strikers
12. Penetration into solid medium under strength constraints
13. Some problems of global multipurpose structural optimization
14. Analytical and numerical estimations of optimal parameters of layered slab
15. Striker shape optimization using condition of minimal ballistic limit velocity for layered slabs
Part III: Appendices
Appendix A. Nonadditive functionals and extremum conditions
Appendix B. Multivariant estimation of functionals and their sensitivity
Appendix C. Basic ideas of multicriteria optimization
Appendix D. Evolutionary algorithm of global optimization
Bibliography
Index