Cargando…

An introduction to the mathematical theory of dynamic materials

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...

Descripción completa

Detalles Bibliográficos
Autor principal: Lurie, Konstantin A
Lenguaje:eng
Publicado: Springer 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-65346-4
http://cds.cern.ch/record/2293755
_version_ 1780956582210699264
author Lurie, Konstantin A
author_facet Lurie, Konstantin A
author_sort Lurie, Konstantin A
collection CERN
description 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.
id cern-2293755
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2017
publisher Springer
record_format invenio
spelling cern-22937552021-04-21T19:01:22Zdoi:10.1007/978-3-319-65346-4http://cds.cern.ch/record/2293755engLurie, Konstantin AAn introduction to the mathematical theory of dynamic materialsMathematical Physics and MathematicsMathematical 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.Springeroai:cds.cern.ch:22937552017
spellingShingle Mathematical Physics and Mathematics
Lurie, Konstantin A
An introduction to the mathematical theory of dynamic materials
title An introduction to the mathematical theory of dynamic materials
title_full An introduction to the mathematical theory of dynamic materials
title_fullStr An introduction to the mathematical theory of dynamic materials
title_full_unstemmed An introduction to the mathematical theory of dynamic materials
title_short An introduction to the mathematical theory of dynamic materials
title_sort introduction to the mathematical theory of dynamic materials
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-65346-4
http://cds.cern.ch/record/2293755
work_keys_str_mv AT luriekonstantina anintroductiontothemathematicaltheoryofdynamicmaterials
AT luriekonstantina introductiontothemathematicaltheoryofdynamicmaterials