An Introduction to the Mathematical Theory of Dynamic Materials

• Main Author: Lurie, Konstantin A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2007.
• Series: Advances in Mechanics and Mathematics ; 15
• Subjects: Mathematics.; Partial differential equations.; Calculus of variations.; Optics.; Electrodynamics.; Vibration.; Dynamical systems.; Dynamics.; Structural materials.; Optical materials.; Electronic materials.; Partial Differential Equations.; Structural Materials.; Optical and Electronic Materials.; Calculus of Variations and Optimal Control; Optimization.; Optics and Electrodynamics.; Vibration, Dynamical Systems, Control.

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 that are often found in nature, dynamic materials are mo...

Table of Contents:

• 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.