Fundamentals of Continuum Mechanics

Table of Contents

Cover image

Title page

Copyright

Dedication

Preface

Continuum Mechanics: The New Pedagogy

Acknowledgments

PART I: THE BEGINNING

Chapter 1: What Is a Continuum?

Abstract

Chapter 2: Our Mathematical Playground

Abstract

2.1 Real numbers and euclidean space

2.2 Tensor algebra

2.3 Eigenvalues, eigenvectors, polar decomposition, invariants

2.4 Tensors of order three and four

2.5 Tensor calculus

2.6 Curvilinear coordinates

PART II: KINEMATICS, KINETICS, AND THE FUNDAMENTAL LAWS OF MECHANICS AND THERMODYNAMICS

Chapter 3: Kinematics: Motion and Deformation

Abstract

3.1 Body, configuration, motion, displacement

3.2 Material derivative, velocity, acceleration

Exercises

3.3 Deformation and strain

Exercises

Exercises

Exercises

3.4 Velocity ...