Page 6 - Introduction to Continuum Mechanics

Contents

Preface to the Third Edition xii

Preface to the First Edition xiii

The Authors xiv

Chapter 1 Introduction 1
1.1 Continuum Theory 1
1.2 Contents of Continuum Mechanics 1

Chapter 2 Tensors 3

Part A The Indicial Notation 3

2A1 Summation Convention, Dummy Indices 3
2A2 Free Indices 5
2A3 Kronecker Delta 6
2A4 Permutation Symbol 7
2A5 Manipulations with the Indicial Notation 8
Part B Tensors 11

2B1 Tensor: A Linear Transformation 11
2B2 Components of a Tensor 13
2B3 Components of a Transformed Vector 16
2B4 Sum of Tensors 17
2B5 Product of Two Tensors 18
2B6 Transpose of a Tensor 20
2B7 Dyadic Product of Two Vectors 21

V