Authors:
- Novel exposition of new mathematical theory developed by the author
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 15)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (6 chapters)
-
Front Matter
-
Back Matter
About this book
Reviews
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)
Authors and Affiliations
-
Worcester Polytechnic Institute, Worcester
Konstantin A. Lurie
Bibliographic Information
Book Title: An Introduction to the Mathematical Theory of Dynamic Materials
Authors: Konstantin A. Lurie
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/0-387-38280-1
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2007
Hardcover ISBN: 978-0-387-38278-4Published: 24 April 2007
eBook ISBN: 978-0-387-38280-7Published: 15 May 2007
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XVIII, 182
Topics: Partial Differential Equations, Structural Materials, Optical and Electronic Materials, Calculus of Variations and Optimal Control; Optimization, Classical Electrodynamics, Vibration, Dynamical Systems, Control