彈性力學

Chapter 1 Introduction

1.1 Stress

1.2 Strain

1.3 Generalized Hook’s Law

1.4.1 Ordinary Differential Equations

1.4.2 Fourier Series

1.4.3 Divergence Theorem

Chapter 2 Plane Stress and Plane Strain

2.1 Plane Stress

2.2 Plane Strain

2.3 Differential Equations of Equilibrium

2.4 Compatibility Equations

2.5 Stress Function

Chapter 3 Two-Dimensional Problems in Rectangular Coordinates

3.1 End Effects, Saint Venant’s Principle

3.2 Solution in Form of a Fourier Series

Chapter 4 Two-Dimensional Problems in Polar Coordinates

4.1 Equilibrium Eq. in Polar Coordinates

4.2 Strain in Polar Coordinates

4.3 A Plane with a Circular Hole

4.4 Radially Symmetric Problem

Chapter 5 Virtual Work Principle and Finite Element Formulation

5.1 Virtual Work Principle

5.2.1 Finite Element (Part 1)

5.2.2 Finite Element (Part 2)