Constitutive Equations for Anisotropic and Isotropic Materials

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Newnes, Dec 2, 2012 - Science - 351 pages
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Constitutive equations define the response of materials which are subjected to applied fields. This volume presents the procedures for generating constitutive equations describing the response of crystals, isotropic and transversely isotropic materials. The book discusses the application of group representation theory, Young symmetry operators and generating functions to the determination of the general form of constitutive equations. Basic quantity tables, character tables, irreducible representation tables and direct product tables are included.
 

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Contents

Chapter I BASIC CONCEPTS
1
Chapter II GROUP REPRESENTATION THEORY
15
Chapter III ELEMENTS OF INVARIANT THEORY
43
Chapter IV INVARIANT TENSORS
53
Chapter V GROUP AVERAGING METHODS
109
Chapter VI ANISOTROPIC CONSTITUTIVE EQUATIONS AND SCHURS LEMMA
133
THE CRYSTALLOGRAPHIC GROUPS
159
CONTINUOUS GROUPS
201
THE CUBIC CRYSTALLOGRAPHIC GROUPS
265
Chapter X IRREDUCIBLE POLYNOMIAL CONSTITUTIVE EXPRESSIONS
297
References
327
Index
333
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