《有限单元法：基本原理及其在土木、水利、机械和航天工程中的应用》系统地阐述了有限单元法的基本原理及其在工程问题中的应用，包括弹性力学平面问题和空间问题、薄板、薄壳、厚板、厚壳、弹性稳定、塑性力学、大位移、断裂、动力反应、徐变、岩土力学、混凝土与钢筋混凝土、流体力学、热传导、工程反分析、仿真计算、网络自动生成、误差估计及自适应技术。该书内容丰富、取材新颖，概念清晰，可供土木、水利、机械、航空、力学专业的设计、科研人员使用，并可用做高等院校有关专业的教材。

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： Plane Stress
2．5．2Isotropic Body： 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： 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： 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