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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)
Resource Information
The item An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable lefthanded dielectrics, optical pumping with highenergy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatiotemporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in spacetime via dynamic materials. Audience 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
 eng
 Edition
 1st ed.
 Extent
 1 online resource (187 p.)
 Note
 Description based upon print version of record
 Contents

 A General Concept of Dynamic Materials
 An Activated Elastic Bar: Effective Properties
 Dynamic Materials in Electrodynamics of Moving Dielectrics
 Gclosures of a Set of Isotropic Dielectrics with Respect to OneDimensional Wave Propagation
 Rectangular Microstructures in SpaceTime
 Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design
 Isbn
 9786610902781
 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
 Subject

 Dynamical systems
 Dynamics
 Electrodynamics
 Electronic materials
 Optical and Electronic Materials
 Optical materials
 Optics
 Calculus of Variations and Optimal Control; Optimization
 Partial differential equations
 Structural Materials
 Structural materials
 Vibration
 Vibration, Dynamical Systems, Control
 Partial Differential Equations
 Calculus of variations
 Classical Electrodynamics
 Language

 eng
 eng
 Summary
 This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable lefthanded dielectrics, optical pumping with highenergy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatiotemporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in spacetime via dynamic materials. Audience 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
 http://library.link/vocab/creatorName
 Lurie, Konstantin A
 Dewey number
 620.11801515
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 Kxpx4Tn4vKk
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Advances in Mechanics and Mathematics,
 Series volume
 15
 http://library.link/vocab/subjectName

 Partial differential equations
 Structural materials
 Optical materials
 Electronic materials
 Calculus of variations
 Optics
 Electrodynamics
 Vibration
 Dynamical systems
 Dynamics
 Partial Differential Equations
 Structural Materials
 Optical and Electronic Materials
 Calculus of Variations and Optimal Control; Optimization
 Classical Electrodynamics
 Vibration, Dynamical Systems, Control
 Label
 An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource)
 Note
 Description based upon print version of record
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 A General Concept of Dynamic Materials  An Activated Elastic Bar: Effective Properties  Dynamic Materials in Electrodynamics of Moving Dielectrics  Gclosures of a Set of Isotropic Dielectrics with Respect to OneDimensional Wave Propagation  Rectangular Microstructures in SpaceTime  Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design
 Dimensions
 unknown
 Edition
 1st ed.
 Extent
 1 online resource (187 p.)
 Form of item
 online
 Isbn
 9786610902781
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/0387382801
 Specific material designation
 remote
 System control number

 (CKB)1000000000282723
 (EBL)371377
 (OCoLC)828801328
 (SSID)ssj0000300423
 (PQKBManifestationID)11238469
 (PQKBTitleCode)TC0000300423
 (PQKBWorkID)10251681
 (PQKB)11001859
 (SSID)ssj0000771194
 (PQKBManifestationID)12304996
 (PQKBTitleCode)TC0000771194
 (PQKBWorkID)10809776
 (PQKB)11378325
 (DEHe213)9780387382807
 (MiAaPQ)EBC371377
 (EXLCZ)991000000000282723
 Label
 An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource)
 Note
 Description based upon print version of record
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 A General Concept of Dynamic Materials  An Activated Elastic Bar: Effective Properties  Dynamic Materials in Electrodynamics of Moving Dielectrics  Gclosures of a Set of Isotropic Dielectrics with Respect to OneDimensional Wave Propagation  Rectangular Microstructures in SpaceTime  Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design
 Dimensions
 unknown
 Edition
 1st ed.
 Extent
 1 online resource (187 p.)
 Form of item
 online
 Isbn
 9786610902781
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/0387382801
 Specific material designation
 remote
 System control number

 (CKB)1000000000282723
 (EBL)371377
 (OCoLC)828801328
 (SSID)ssj0000300423
 (PQKBManifestationID)11238469
 (PQKBTitleCode)TC0000300423
 (PQKBWorkID)10251681
 (PQKB)11001859
 (SSID)ssj0000771194
 (PQKBManifestationID)12304996
 (PQKBTitleCode)TC0000771194
 (PQKBWorkID)10809776
 (PQKB)11378325
 (DEHe213)9780387382807
 (MiAaPQ)EBC371377
 (EXLCZ)991000000000282723
Subject
 Dynamical systems
 Dynamics
 Electrodynamics
 Electronic materials
 Optical and Electronic Materials
 Optical materials
 Optics
 Calculus of Variations and Optimal Control; Optimization
 Partial differential equations
 Structural Materials
 Structural materials
 Vibration
 Vibration, Dynamical Systems, Control
 Partial Differential Equations
 Calculus of variations
 Classical Electrodynamics
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/AnIntroductiontotheMathematicalTheoryof/KYBRraQOkfo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/AnIntroductiontotheMathematicalTheoryof/KYBRraQOkfo/">An Introduction to the Mathematical Theory of Dynamic Materials, by Konstantin A. Lurie, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>