連體力學
第一單元
第二單元
第三單元
第四單元
第五單元
Chapter 1 Introduction
Chapter 2 Deformations
2.1 Classical Strain
2.2 Underformed and Deformed Coordinates
2.3 Discussions on Classical Strain
2.4.1 Deformation Gradient
2.4.2 A Circular material must deformed into an Elliptical material
2.5.1 Mathematical Formulae
2.5.2 Proof that U and V are Symmetric
2.5.3 Proof that R is Orthogonal
2.5.4 dy=Rdx is a rigid body rotation
2.5.5 dy=Udx is a deformation without rotations
2.5.6 General Deformation
2.5.7 How to compute √FTF
2.6 Lagrangian Strain and Principle
2.7 Properties of Lagrangian Stain
2.7.3 E11 and E12
2.7.4 Principle Lagrangian Strain
2.8 Compatibility Equation
2.9 Material Time Derivative and Velocity Gradient
Chapter 3 Stresses and Conservation Laws
3.1 Conservation of Mass
3.2 Stress Principle
3.3 Cauchy’s Equations of Motion
Chapter 4 Constitutive Laws and Field Equations
4.1 Linear Elasticity Small Deformation Theorem
4.2 Plasticity and Fluid Mechanics
Chapter 5 Virtual Work Principle and Finite Element Formulation
5.1 Virtual Work Principle
5.2.1 Finite Element Formulation for Linear Elastic Solid (Part1)
5.2.2 Finite Element Formulation for Linear Elastic Solid (Part2)