High-speed impact dynamics is of interest in the fundamental sciences, e.g., astrophysics and space sciences, and has a number of important applications in military technologies, homeland security and engineering. When compared with experiments or numerical simulations, analytical approaches in impact mechanics only seldom yield useful results. However, when successful, analytical approaches allow us to determine general laws that are not only important in themselves but also serve as benchmarks for subsequent numerical simulations and experiments. The main goal of this monograph is to demonstrate the potential and effectiveness of analytical methods in applied high-speed penetration mechanics for two classes of problem. The first class of problem is shape optimization of impactors penetrating into ductile, concrete and some composite media. The second class of problem comprises investigation of ballistic properties and optimization of multi-layered shields, including spaced and two-component ceramic shields. Despite the massive use of mathematical techniques, the obtained results have a clear engineering meaning and are presented in an easy-to-use form. One of the chapters is devoted solely to some common approximate models, and this is the first time that a comprehensive description of the localized impactor/medium interaction approach is given. In the monograph the authors present systematically their theoretical results in the field of high-speed impact dynamics obtained during the last decade which only partially appeared in scientific journals and conferences proceedings.

One of a few books published in this field of engineering science Contains almost exclusively the new results that do not appear in other books on this subject A new approach is developed that can be useful in further studies on penetration mechanics

Klappentext

The monograph is based on the results of the authors obtained during the last decade and only partially published in scientific periodicals. Part I presents some common methods of engineering penetration modeling. Particular attention is given to two closely related approaches: the localized interaction and cavity expansion approximations that are widely used in the monograph. In this part for the first time appears a comprehensive description of the localized interaction approach and the tools for its application to penetration mechanics. Part II is devoted, mainly, to shape optimization of impactors applied to different media (metal, concrete, FRP laminate) and using different impactor-shield interaction models. Part III deals with analysis and optimization of multi-layered shields against ballistic impact. In this part of the monograph the influence of the order of the plates in the shield and of the spacing between the plates on the ballistic parameters are studied. This part includes the analysis of the optimum structure of metal/ceramic shields.Although the emphasis in the book is on the analytical methods, rigorous mathematical proofs and numerical simulations complement each other in the book, and the results are presented in an illustrative manner. The monograph is self-contained and assumes only basic knowledge of solid mechanics and mathematics. The brief exposition of the necessary additional information is presented in the book.

Inhalt
Localized Interaction Approach.- Cavity Expansion Approximations.- Power-Law Realationships Between Impact, Residual and Ballistic Limit Velocity.- Towards Shape Optimization of Impactors.- Shape Optimization of Impactors Penetrating into Ductile Shields.- Shape Optimization of Impactors Penetrating into Concrete Shields.- Optimum Shape of Impactors Against Fibre-Reinforced Plastic Laminates.- Area Rules for Penetrating Impactors.- Optimization of Multi-layered and Spaced Ductile Shields.- Optimization of Two-Component Ceramic Shields.