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: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 2nd ed. 2017.
• Series: Advances in Mechanics and Mathematics, 15
• Subjects: Mathematics.; Partial differential equations.; Calculus of variations.; Structural materials.; Optical materials.; Electronic materials.; Partial Differential Equations.; Optical and Electronic Materials.; Calculus of Variations and Optimal Control; Optimization.; Structural Materials.

Mathematical treatment to properties of dynamic materials, material substances whose properties are variable in space and time are examined in this book. This new edition emphasizes the differences between material optimization techniques in statics and dynamics. Systems with one spatial coordinate...

Table of Contents:

• 1. A General Concept of Dynamic Materials
• 2. An Activated Elastic Bar: Effective Properties
• 3. Dynamic Materials in Electrodynamics of Moving Dielectrics
• 4. G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation
• 5. Rectangular Microstructures in Space-Time
• 6. On Material Optimization in Continuum Dynamics
• References
• Appendix 1
• Appendix 2
• Appendix 3
• Appendix 4
• Index.