高等计算力学

高等计算力学
作 者: 朱哲明 王兴渝 任利 王蒙
出版社: 四川大学出版社
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作者简介

暂缺《高等计算力学》作者简介

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。

图书目录

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