Konstantin A. Lurie

An Introduction to the Mathematical Theory of Dynamic Materials (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book describes a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials--material substances whose properties are variable in space and time. 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. This book will interest applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations; researchers in the field of smart metamaterials and their applications to optimal material design in dynamics.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 182
• Erscheinungstermin: 15. Mai 2007
• Englisch
• ISBN-13: 9780387382807
• Artikelnr.: 37286030

Autorenporträt

Konstantin A. Lurie, Worcester Polytechnic Institute, Worcester, MA, USA

Inhaltsangabe

A General Concept of Dynamic Materials.- An Activated Elastic Bar: Effective Properties.- Dynamic Materials in Electrodynamics of Moving Dielectrics.- 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.

Rezensionen

This book is the first monograph presenting an explicit account of a new material concept: it introduces and explores formations with parameters variable in both space and time and therefore called dynamic materials (DM). Being thermodynamically open systems, DM may be adjusted to a dynamic environment due to unusual effects produced by their mass/momentum/energy exchange with the environment. A number of such effects forms a basis for technical devices that support energy accumulation and its storage in traveling waves, effective sensing, isolation of extended domains in space-time from the invasion of dynamic disturbances, etc. The DM concept is at the same time theoretically significant as the means of material optimization and design in dynamics based on the ideas conceptually different from those traditionally applicable in statics, such as homogenization. All in all, the book by Lurie represents a fundamental work that will become a source of novel conceptual ideas and engineering applications. (Iliya I. Blekhman, Materials Physics and Mechanics 11 (2011), pp. 190-193)