國立虎尾科技大學 |

An introduction to the mathematical theory of dynamic materials

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An introduction to the mathematical theory of dynamic materials/ by Konstantin A. Lurie.
Author:	Lurie, Konstantin A.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xvii, 277 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Materials - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-65346-4
ISBN:	9783319653464

An introduction to the mathematical theory of dynamic materials
Lurie, Konstantin A.

An introduction to the mathematical theory of dynamic materials[electronic resource] /by Konstantin A. Lurie. - 2nd ed. - Cham :Springer International Publishing :2017. - xvii, 277 p. :ill. (some col.), digital ;24 cm. - Advances in mechanics and mathematics,v.151571-8689 ;. - Advances in mechanics and mathematics ;v. 20..

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.

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 extensions and technical improvements. Since the release of the first edition, a number of new results have created a more complete picture of unusual effects hidden in spatio-temporal material geometry. This renewed look has revealed a conceptually new mechanism of relaxation of material optimization problems in dynamics, which has led to additional resources for optimization previously concealed in the property layouts. Dynamic materials are studied in this book from the following perspectives: ability to appear in dissimilar implementations, universality as formations that are thermodynamically open, and unusual effects supported by dynamic materials in mechanical and electromagnetic implementations. Special effects accompanying the wave propagation through material geometries in space-time are analyzed by dynamic (spatio-temporal) laminates for screening the extended domains. An extended classification is provided for activated and kinetic dynamic materials, based on the nonstandard exposition of Maxwell-Minkowski electrodynamics of moving bodies. Unique applications as well as fundamental optimization problems are listed within the discussion. This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics.

ISBN: 9783319653464

Standard No.: 10.1007/978-3-319-65346-4doiSubjects--Topical Terms:

1172352
Materials
--Mathematics.

LC Class. No.: TA403.6 / .L875 2017

Dewey Class. No.: 620.110151

An introduction to the mathematical theory of dynamic materials
LDR:03389nam a2200337 a 4500 001 905298
003 DE-He213
005 20180427171534.0
006 m d
007 cr nn 008maaau
008 190308s2017 gw s 0 eng d
020 $a 9783319653464 $q (electronic bk.)
020 $a 9783319653457 $q (paper)
024 7 $a 10.1007/978-3-319-65346-4 $2 doi
035 $a 978-3-319-65346-4
040 $a GP $c GP
041 0 $a eng
050 4 $a TA403.6 $b .L875 2017
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 620.110151 $2 23
090 $a TA403.6 $b .L967 2017
100 1 $a Lurie, Konstantin A. $3 1172351
245 1 3 $a An introduction to the mathematical theory of dynamic materials $h [electronic resource] / $c by Konstantin A. Lurie.
250 $a 2nd ed.
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a xvii, 277 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Advances in mechanics and mathematics, $x 1571-8689 ; $v v.15
505 0 $a 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.
520 $a 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 extensions and technical improvements. Since the release of the first edition, a number of new results have created a more complete picture of unusual effects hidden in spatio-temporal material geometry. This renewed look has revealed a conceptually new mechanism of relaxation of material optimization problems in dynamics, which has led to additional resources for optimization previously concealed in the property layouts. Dynamic materials are studied in this book from the following perspectives: ability to appear in dissimilar implementations, universality as formations that are thermodynamically open, and unusual effects supported by dynamic materials in mechanical and electromagnetic implementations. Special effects accompanying the wave propagation through material geometries in space-time are analyzed by dynamic (spatio-temporal) laminates for screening the extended domains. An extended classification is provided for activated and kinetic dynamic materials, based on the nonstandard exposition of Maxwell-Minkowski electrodynamics of moving bodies. Unique applications as well as fundamental optimization problems are listed within the discussion. This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics.
650 0 $a Materials $x Mathematics. $3 1172352
650 0 $a Smart materials. $3 591718
650 0 $a Composite materials. $3 561730
650 0 $a Mathematical optimization. $3 527675
650 0 $a Differentiable dynamical systems. $3 528273
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Optical and Electronic Materials. $3 593919
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
650 2 4 $a Structural Materials. $3 677176
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Advances in mechanics and mathematics ; $v v. 20. $3 770421
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-65346-4
950 $a Mathematics and Statistics (Springer-11649)