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Preface
About the Author
1 Introduction to Finite Element Method and Matrix Analysis of Truss
1£®1 Introduction to Finite Element Method
1£®2 Truss Analysis Overview
1£®3 Stiffness Matrix of Horizontal Bar Element
1£®4 Stiffness Matrix oflnclined Bar Element
1£®5 Coordinate Transformation
1£®6 Nodal Equilibrium Equation and Global Stiffness Matrix
1£®7 Treatment ofBoundary Conditions
Bibliography

2 Plane Problems in Theory of Elasticity
2£®1 Discretization ofContinuous Medium
2£®2 DisplacementFunction
2£®3 Element Strain
2£®4 InitiaIStrain
2£®5 ElementStress
2£®5£®1Isotropic Body£º Plane Stress
2£®5£®2Isotropic Body£º Plane Strain
2£®5£®3 AnisotropicBody
2£®6 Equivalent Nodal Force and Element Stiffness Matrix
2£®7 NodalLoads
2£®7£®1 Equivalent Nodal Loads of Distributed Boundary Forces
2£®7£®2 Nodal Loads ofUniform Volume Force
2£®7£®3 Nodal Loads Due to Potential ofVolume Force
2£®7£®4 Nodal Loads Caused by Initial Strain
2£®8 Nodal Equilibrium Equation and Global Stiffness Matrix
2£®9 Establish the Global Stiffness Matrix by the Coding Method
2£®10 Calculation Example
2£®10£®1 Stress Concentration near the Circular Hole
2£®10£®2Stress Analysis ofl Beam with a Hole in Web
2£®10£®3 Stress Analysis ofthe Concrete Gravity Dam
Bibliography

3 ElementAnalysis
3£®1 Principle ofVirtual Displacement
3£®2 ElementDisplacement
3£®3 Element Strain and Stress
3£®4 Nodal Force and Element Stiffness Matrix
3£®5 NodaILoad
3£®5£®1 Distributed Volume Force
3£®5£®2 Distributed Surface Force
3£®5£®3 Initial Strain and Initial Stress
3£®6 Application Examples of the Principle of Virtual Displacements£º Beam Element
3£®7 Strain Energy and Complementary Strain Energy
3£®8 Principle ofMinimum PotentiaIEnergy
3£®9 Minimum Complementary Energy Principle
3£®10 Hybrid Element
3£®11 Hybrid Element Example£º Plane Rectangular Element
3£®12 Mixed Energy Principle
3£®13 Composite Element
Bibliography

4 GlobaI Analysis
4£®1 Nodal Equilibrium Equation
4£®2 Application of the Principle of Minimum Potential Energy
4£®3 The Low Limit Property ofthe Solution of Minimum Potential Energy
4£®4 The Convergence of Solutions
4£®5 Analysis of the Substructure
4£®5£®1 Multiple Substructures
4£®5£®2 Condensation of the Internal Degrees of Freedom of Substructures
4£®5£®3 Coordinate Transformatio'n
Bibliography

5 High-Order Element of Plane Problem
5£®1 RectangularElements
5£®2 Area Coordinates
5£®3 High-Order Triangular Element
5£®3£®16-Node Quadratic Triangular Element
5£®3£®2 10-Node 3-Order Triangular Element
5£®3£®3 3-Node 18 DOF Triangular Element
Bibliography

6 Axisymmetrical Problems in Theory of Elasticity
6£®1 Stresses Due to AxisymmetricaI Loads
6£®1£®1 Displacement Function
¡­¡­
7 Spatial Problems in Theory of Elasticity
8 Shape Function£¬ Coordinate Transformation£¬Isoparametric Element£¬and lnfinite Element
9 Comparison and Application Instances of Various Planar and SpatiaI Elements
10 Elastic Thin Plate
¡­¡­
26 Back Analysis of Engineering
27 Automatic Mesh Generation£¬ Error Estimation£¬ and Auto-adaptation Technique
28 Matrix
29 Linear Algebraic Equation Set
30 VariationaI Method
31 Weighted ResiduaI Method
Appendix A
Appendix B
Index