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
Resource Information
The item An introduction to the mathematical theory of dynamic materials, Konstantin A. Lurie represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item An introduction to the mathematical theory of dynamic materials, Konstantin A. Lurie represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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 spatiotemporal 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 spacetime are analyzed by dynamic (spatiotemporal) laminates for screening the extended domains. An extended classification is provided for activated and kinetic dynamic materials, based on the nonstandard exposition of MaxwellMinkowski 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.
 Language
 eng
 Edition
 Second edition.
 Extent
 1 online resource (xvii, 277 pages)
 Contents

 1. A General Concept of Dynamic Materials
 2. An Activated Elastic Bar: Effective Properties
 3. Dynamic Materials in Electrodynamics of Moving Dielectrics
 4. Gclosures of a Set of Isotropic Dielectrics with Respect to OneDimensional Wave Propagation
 5. Rectangular Microstructures in SpaceTime
 6. On Material Optimization in Continuum Dynamics
 References
 Appendix 1
 Appendix 2
 Appendix 3
 Appendix 4
 Index
 Isbn
 9783319653464
 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
 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 spatiotemporal 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 spacetime are analyzed by dynamic (spatiotemporal) laminates for screening the extended domains. An extended classification is provided for activated and kinetic dynamic materials, based on the nonstandard exposition of MaxwellMinkowski 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.
 Assigning source
 Provided by publisher
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Lurie, K. A
 Dewey number
 620.1/10151
 Illustrations
 illustrations
 Index
 index present
 LC call number
 TA403.6
 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
 Mathematics
 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, Konstantin A. Lurie
 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. Gclosures of a Set of Isotropic Dielectrics with Respect to OneDimensional Wave Propagation  5. Rectangular Microstructures in SpaceTime  6. On Material Optimization in Continuum Dynamics  References  Appendix 1  Appendix 2  Appendix 3  Appendix 4  Index
 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
 Other control number
 10.1007/9783319653464
 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
 on1008703146
 Label
 An introduction to the mathematical theory of dynamic materials, Konstantin A. Lurie
 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. Gclosures of a Set of Isotropic Dielectrics with Respect to OneDimensional Wave Propagation  5. Rectangular Microstructures in SpaceTime  6. On Material Optimization in Continuum Dynamics  References  Appendix 1  Appendix 2  Appendix 3  Appendix 4  Index
 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
 Other control number
 10.1007/9783319653464
 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
 on1008703146
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Anintroductiontothemathematicaltheoryof/RgSmjXTYoZk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Anintroductiontothemathematicaltheoryof/RgSmjXTYoZk/">An introduction to the mathematical theory of dynamic materials, Konstantin A. Lurie</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>