The Resource An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource)

An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource)

Label
An Introduction to the Mathematical Theory of Dynamic Materials
Title
An Introduction to the Mathematical Theory of Dynamic Materials
Statement of responsibility
by Konstantin A. Lurie
Creator
Author
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
http://library.link/vocab/creatorName
Lurie, Konstantin A
Dewey number
515.353
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
Kxpx4Tn4vKk
Image bit depth
0
LC call number
QA370-380
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Advances in Mechanics and Mathematics,
Series volume
15
http://library.link/vocab/subjectName
  • Differential equations, partial
  • Optical materials
  • Mathematical optimization
  • Materials
  • Partial Differential Equations
  • Optical and Electronic Materials
  • Calculus of Variations and Optimal Control; Optimization
  • Structural Materials
Label
An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Edition
2nd ed. 2017.
Extent
1 online resource (XVII, 277 p. 107 illus., 37 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783319653464
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-65346-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4100000000881634
  • (DE-He213)978-3-319-65346-4
  • (MiAaPQ)EBC5107943
  • (EXLCZ)994100000000881634
Label
An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource)
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Edition
2nd ed. 2017.
Extent
1 online resource (XVII, 277 p. 107 illus., 37 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783319653464
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-65346-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4100000000881634
  • (DE-He213)978-3-319-65346-4
  • (MiAaPQ)EBC5107943
  • (EXLCZ)994100000000881634

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