Title An introduction to the mathematical theory of dynamic materials / Konstantin A. Lurie

Published New York ; London : Springer, 2007

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Description 1 online resource (xviii, 181 pages) : illustrations Series Advances in mechanics and mathematics ; v. 15 Advances in mechanics and mathematics ; v. 15. Contents Preface -- A General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dialectrics -- G-Closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design -- Appendix 1 -- Appendix 2 -- Appendix 3 -- Appendix 4 -- Index Summary Unlike conventional composites, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. This book outlines the mathematical theories present in dynamic materials. This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials, that is, material substances whose properties are variable in space and time. Unlike conventional composites which are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell's theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials Bibliography Includes bibliographical references and index Notes English Print version record In OhioLINK electronic book center SpringerLink Subject Smart materials. Composite materials. Materials science -- Mathematics Mathematical optimization. Differentiable dynamical systems. composite material. TECHNOLOGY & ENGINEERING -- Material Science. Composite materials. Materials science -- Mathematics. Mathematical optimization. Differentiable dynamical systems. Smart materials. Composite materials Differentiable dynamical systems Materials science -- Mathematics Mathematical optimization Smart materials Form Electronic book ISBN 9780387382807 0387382801 038738278X 9780387382784 1280902787 9781280902789 9786610902781 661090278X

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