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.

This two-volume, 1100 pages, 38 chapters book is a significantly expanded, revised and updated version of the monograph by the authors published in 2013 (Ben-Dor, G, Dubinsky, A, Elperin, T, 'High Speed Penetration Dynamics: Engineering Models and Methods,' Singapore: World Scientific Publishing Company). The contents increased by 60%, the number of titles in bibliography doubled and reached 1600; and the scope covers a range of new topics related to hypervelocity penetration, along with high-speed impact.Presented material is structured into two parts. The first part includes description and analysis of practically all known engineering models for calculating high-speed penetration of projectiles into concrete, metals, geological shields, adobe, and gelatine.The second part focuses on the use of approximate models for solving conventional and non-standard problems of penetration mechanics including prediction and optimization of protective properties of monolithic and multi-layered shields against high-speed projectiles and space debris; shape optimization of high-speed projectiles penetrating into various media; modelling of penetration and optimal control of penetrators equipped with jet thrusters; and investigation of the efficiency and optimization of segmented projectiles. The book includes comprehensive overviews on basic classes of problems in high-speed penetration mechanics.This is a indispensable reference guide for scientists, engineers, and students specializing in the field of high-speed and hypervelocity penetration mechanics.

This important monograph is the first comprehensive compendium of engineering models used in high-speed penetration mechanics.The book consists of two parts. The first part (more than a quarter of the book's content) is in fact a handbook giving a very detailed summary of the engineering models used for the analysis of high-speed penetration of rigid projectiles into various media (concrete, metals, geological media). The second part of the book demonstrates the possibilities and efficiency of using approximate models for investigating traditional and nontraditional problems of penetration mechanics.Different chapters in the books are devoted to different classes of problems and can be read independently. Each chapter is self-contained, which includes a comprehensive literature survey of the topic, and carries a list of used notations. The bibliography includes more than 700 references.This monograph is a reliable and indispensable reference guide for anyone interested in using engineering models in high-speed penetration mechanics.

In this book, the authors present their theoretical, experimental and numerical investigations into concrete structures subjected to projectile and aircraft impacts in recent years. Innovative approaches to analyze the rigid, mass abrasive and eroding projectile penetration and perforation are proposed. Damage and failure analyses of nuclear power plant containments impacted by large commercial aircrafts are numerically and experimentally analyzed. Ultra-high performance concrete materials and structures against the projectile impact are developed and their capacities of resisting projectile impact are evaluated. This book is written for the researchers, engineers and graduate students in the fields of protective structures and terminal ballistics.

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 book presents, in a unified manner, a variety of topics in Continuum and Fracture Mechanics: energy methods, conservation laws, mathematical methods to solve two-dimensional and three-dimensional crack problems. Moreover, a series of new subjects is presented in a straightforward manner, accessible to under-graduate students. Emphasizing physical or experimental back-grounds, then analysis and theoretical results, this monograph is intended for use by students and researchers in solid mechanics, mechanical engineering and applied mathematics.

This book deals with various computational procedures for multiple repeated analyses (reanalysis) of structures, and presents them in a unified approach. It meets the need for a general text covering the basic concepts and methods as well as recent developments in this area. To clarify the presentation, many illustrative examples and numerical results are demonstrated. Previous books on structural analysis do not cover most of the material presented here.

This timely text is the first monograph to develop self-consistent methods and apply these to the solution of problems of electromagnetic and elastic wave propagation in matrix composites and polycrystals. Predictions are compared with experimental data and exact solutions. Explicit equations and efficient numerical algorithms for calculating the velocities and attenuation coefficients of the mean (coherent) wave fields propagating in composites and polycrystals are presented.

This volume contains the proceedings of the IUTAM Symposium on Elastohydrodynamics and Microelastohydrodynamics held in Cardiff from 1-3 September 2004. It contains 31 articles by leading researchers in the field. The symposium focused on theoretical, experimental and computational issues in elastohydrodynamic lubrication (EHL) both in relation to smooth surfaces and in situations where the film is of the same order or thinner than the surface roughness (micro-EHL). The last IUTAM Symposium in this general area of contact of deformable bodies was in 1974. The emphasis in the Symposium was upon fundamental issues such as: solution methods; lubricant rheological models, thermal effects; both low and high elastic modulus situations; human and replacement joints; fluid traction; dynamic effects, asperity lubrication and the failure of lubrication; surface fatigue and thermal distress under EHL conditions. The book will be useful to those active in basic elastohydrodynamics research who wish to gain an up-to-date understanding of the subject from leading experts in the field.

This book collects peer-reviewed lectures of the IUTAM Symposium on the 100th anniversary of Boundary Layer research. No other reference of this calibre, on this topic, is likely to be published for the next decade. Covers classification, definition and mathematics of boundary layers; instability of boundary layers and transition; boundary layers control; turbulent boundary layers; numerical treatment and boundary layer modelling; special effects in boundary layers.