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An introduction to the mathematical theory of dynamic materials

Author: K A Lurie
Publisher: Cham, Switzerland : Springer, 2017.
Series: Advances in mechanics and mathematics, v. 15.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
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 and time are used to illustrate essentials of temporal property change in this setting and prompt forthcoming  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: K A Lurie
ISBN: 9783319653464 3319653466 3319653458 9783319653457
OCLC Number: 1008703146
Description: 1 online resource (xvii, 277 pages) : illustrations (some color)
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.
Series Title: Advances in mechanics and mathematics, v. 15.
Responsibility: Konstantin A. Lurie.

Abstract:

It is 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  Read more...

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"It is competently written and provides a solid introduction to the mathematical analysis of dynamic materials and their optimization with some examples from mechanics and electromagnetics. The book Read more...

 
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