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100   $a20171017d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 13$aAn Introduction to the Mathematical Theory of Dynamic Materials /$fby Konstantin A. Lurie
205   $a2nd ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XVII, 277 p. 107 illus., 37 illus. in color.) 
225 1 $aAdvances in Mechanics and Mathematics,$x1571-8689 ;$v15
311   $a3-319-65345-8 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $a1. 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.
330   $aMathematical treatment to properties of dynamic materials, material substances whose properties are variable in space and time are examined in this book. This new edition emphasizes the differences between material optimization techniques in statics and dynamics. Systems with one spatial coordinate and time are used to illustrate essentials of temporal property change in this setting and prompt forthcoming extensions and technical improvements. Since the release of the first edition, a number of new results have created a more complete picture of unusual effects hidden in spatio-temporal material geometry. This renewed look has revealed a conceptually new mechanism of relaxation of material optimization problems in dynamics, which has led to additional resources for optimization previously concealed in the property layouts. Dynamic materials are studied in this book from the following perspectives: ability to appear in dissimilar implementations, universality as formations that are thermodynamically open, and unusual effects supported by dynamic materials in mechanical and electromagnetic implementations. Special effects accompanying the wave propagation through material geometries in space-time are analyzed by dynamic (spatio-temporal) laminates for screening the extended domains. An extended classification is provided for activated and kinetic dynamic materials, based on the nonstandard exposition of Maxwell-Minkowski electrodynamics of moving bodies. Unique applications as well as fundamental optimization problems are listed within the discussion. This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics.
410  0$aAdvances in Mechanics and Mathematics,$x1571-8689 ;$v15
606   $aPartial differential equations
606   $aOptical materials
606   $aElectronic materials
606   $aCalculus of variations
606   $aStructural materials
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aOptical and Electronic Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z12000
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aStructural Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z11000
615  0$aPartial differential equations.
615  0$aOptical materials.
615  0$aElectronic materials.
615  0$aCalculus of variations.
615  0$aStructural materials.
615 14$aPartial Differential Equations.
615 24$aOptical and Electronic Materials.
615 24$aCalculus of Variations and Optimal Control; Optimization.
615 24$aStructural Materials.
676   $a620.19204295
700   $aLurie$b Konstantin A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767478
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254290403321
996   $aIntroduction to the Mathematical Theory of Dynamic Materials$91562493
997   $aUNINA