Coverart for item
The Resource An introduction to the mathematical theory of dynamic materials, Konstantin A. Lurie

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

Label
An introduction to the mathematical theory of dynamic materials
Title
An introduction to the mathematical theory of dynamic materials
Statement of responsibility
Konstantin A. Lurie
Creator
Author
Subject
Language
eng
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 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.--
Member of
Assigning source
Provided by publisher
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Lurie, K. A
Illustrations
illustrations
Index
index present
LC call number
TA418.9.S62
LC item number
L87 2017eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Advances in mechanics and mathematics,
Series volume
volume 15
http://library.link/vocab/subjectName
  • Materials
  • Smart materials
  • Composite materials
  • Mathematical optimization
  • Differentiable dynamical systems
  • TECHNOLOGY & ENGINEERING / Engineering (General)
  • TECHNOLOGY & ENGINEERING / Reference
Label
An introduction to the mathematical theory of dynamic materials, Konstantin A. Lurie
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Control code
1008703146
Dimensions
unknown
Edition
Second edition
Extent
1 online resource (xvii, 277 pages)
File format
unknown
Form of item
online
Isbn
9783319653464
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
LIBRARY COPY INCLUDES UNLIMITED USER PERPETUAL ACCESS TO EBOOK
Other control number
10.1007/978-3-319-65346-4
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1008703146
Label
An introduction to the mathematical theory of dynamic materials, Konstantin A. Lurie
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Control code
1008703146
Dimensions
unknown
Edition
Second edition
Extent
1 online resource (xvii, 277 pages)
File format
unknown
Form of item
online
Isbn
9783319653464
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
LIBRARY COPY INCLUDES UNLIMITED USER PERPETUAL ACCESS TO EBOOK
Other control number
10.1007/978-3-319-65346-4
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1008703146

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