四川大学精品立项教材 高等计算力学 作者：朱哲明，王兴渝，王蒙 编著 出版时间：2019年版 内容简介 《高等计算力学》着眼于固体结构或流体分析，介绍了有限元方法的基本原理及其在工程中的应用，指导学生使用Fortran、Matlab或C语言编译基本的有限元代码进行固体结构的应力和变形分析，对解决固体力学（如弹性力学、塑性力学、静力学、动力学等）、热传递（传导、对流、辐射）、流体力学、电磁学及流-固耦合等领域的问题具有指导作用。 目录 Chapter 1 Discretization and element stiffness 1．1 Discretization of a domain by elements 1．2 Solution to the ease that the three-node displacements are known 1．3 Solutions to the case that the three-node loads are known Chapter 2 Subroutine to calculate element stiffness matrix 2．1 Calculating triangle area 2．2 Calculating [B] strain matrix 2．3 Calculating [S] stress matrix 2．4 Calculating element stiffness matrix [K] Chapter 3 Equivalent nodal forces 3．1 Concentrated load 3．2 Body force 3．3 Distributed force 3．4 Subroutine for body load Chapter 4 Global stiffness matrix 4．1 Global stiffness matrix and its property 4．2 Global matrix establishment 4．3 The properties of global matrix 4．4 Subroutine of global stiffness matrix Chapter 5 Boundary conditions and solution of equilibrium equations 5．1 Multiplying a large number 5．2 Decreasing the number of the linear equations 5．3 Changing the diagonal term to one 5．4 Subroutine of adjusting global matrix 5．5 Solver Chapter 6 Subroutine of nodal stresses and main program 6．1 The calculation method of nodal average stresses 6．2 Subroutine of nodal stress 6．3 Main program Chapter 7 Area coordinates and more node element 7．1 Area coordinates 7．2 Selection method of general displacement function 7．3 Six-node triangular element 7．4 Four-node rectangle element Chapter 8 Axisymmetric stress analysis 8．1 Strain matrix 8．2 Stress matrix 8．3 Elements stiffness matrix 8．4 Equivalent nodal force Chapter 9 Three-dimensional stress analysis 9．1 Tetrahedron element method 9．2 Volume coordinates 9．3 Tetrahedral element with 10 nodes and 20 nodes 9．4 Brick element Chapter 10 Isoparametric element 10．1 Definition of isoparametric element 10．2 Mapping method 10．3 Quadrilateral element 10．4 Relationship between □（数理化公式） 10．5 Relationship between □（数理化公式） 10．6 Discussion 10．7 Some distorted elements Chapter 11 Numerical integration 11．1 Newton-Cotes integration method 11．2 Gauss integration method 11．3 Gauss integration application in a standard element 11．4 Equivalent nodal force Chapter 12 Dynamic finite element method 12．1 Formulation of time dependent problem 12．2 Inertial force 12．3 Damping force 12．4 Global equilibrium equation 12．5 Step by step integration method Chapter 13 Automatic Mesh Generation in MATLAB 13．1 Introduction 13．2 The algorithm for mesh generation 13．3 Implementation 13．4 Special Distance Functions 13．5 Examples 13．6 Mesh Generation in 3-D Chapter 14 Model Generation in ANSYS 14．1 Understanding Model Generation 14．2 Planning Your Approach 14．3 Choosing a Model Type （2-D， 3-D， etc．） 14．4 Choosing Between Linear and Higher Order Elements 14．5 Solid Modeling and Direct Generation 14．6 Generating the Mesh 14．7 Defining Material Properties 14．8 Applying Loads and Obtaining the Solution 14．9 Reviewing the Results 14．10 Structural Introductory Tutorial
