An Introduction to the Mathematical Theory of Dynamic Materials

Konstantin A. Lurie

ISBN 10: 3319653458 / ISBN 13: 9783319653457

Edité par Springer International Publishing, Springer International Publishing Okt 2017, 2017

A propos de cet article

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 296 pp. Englisch.

N° de réf. du vendeur 9783319653457

Détails bibliographiques

• Titre: An Introduction to the Mathematical Theory of Dynamic Materials
• Éditeur: Springer International Publishing, Springer International Publishing Okt 2017
• Date de parution: 2017
• Langue: anglais
• ISBN à 10 chiffres: 3319653458
• ISBN à 13 chiffres: 9783319653457
• Reliure: Buch
• Édition: Edition originale
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 22 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 22 millimètres de profondeur
• Poids: 612 grammes

A propos de ce titre

Synopsis

New edition focuses on the differences between material optimization techniques in statics and dynamics

Discusses general features of dynamic materials as thermodynamically open systems

Equips reader with novel exposition