Constitutive Equations for Anisotropic and Isotropic Materials

✍ Scribed by GERALD F. SMITH (Eds.)

Publisher: North Holland
Year: 1994
Tongue: English
Leaves: 338
Series: Mechanics and Physics of Discrete Systems 3
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ Table of Contents

Content:
Mechanics and Physics of Discrete Systems
Page ii

Front Matter
Page iii

Copyright page
Page iv

Introduction to the Series
Page v
G.C. Sih Series Editor

Preface
Page vii

I - Basic Concepts
Pages 1-14

II - Group Representation Theory
Pages 15-42

III - Elements of Invariant Theory
Pages 43-52

IV - Invariant Tensors
Pages 53-108

V - Group Averaging Methods
Pages 109-131

VI - Anisotropic Constitutive Equations and Schur's Lemma
Pages 133-157

VII - Generation of Integrity Bases: The Crystallographic Groups
Pages 159-200

VIII - Generation of Integrity Bases: Continuous Groups
Pages 201-264

IX - Generation of Integrity Bases: The Cubic Crystallographic Groups
Pages 265-296

X - Irreducible Polynomial Constitutive Expressions
Pages 297-326

References
Pages 327-331

Index
Pages 333-336

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