有限元语言及应用 II

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作   者:梁国平,周永发

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ISBN:9787030465948

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简介

  有限元语言是一种适用于有限元方法求解偏微分 方程的模型语言。采用有限元语言编程就是书写偏微 分方程和算法,然后由生成器产生全部FORTRAN语言 的有限元程序。由梁国平、周永发、古泉译编*的《 有限元语言及应用(Ⅱ英文版)(精)》的主要内容包括 :微分方程表达式,单物理场算法和多场耦合有限元 算法的描述语言;元件化程序设计方法;有限元的数 据结构;形函数库,微分算子库,单物理算法库等。

目录

Contents
Preface to the Series in Information and Computational Science
Preface
Chapter 6 Solid Mechanics
6.1 Infinitesimal Linear Elastic Deformation
6.1.1 Finite Element Language Program for Static Problems
6.1.2 Finite Element Language of Time Discretization Problem Whose Wave Format is Velocity Method
6.1.3 Finite Element Language Program of Time Discretization Problem Whose Wave Format is Newmark
6.2 Small Elastic-plastic Deformation
6.2.1 Finite Element Language Program of Static Problem Using Displacement as Unknown Variable
6.2.2 Finite Element Language Program of Static Problems Where Displacement and A are Calculated Simultaneously
6.2.3 Theory Text of Non-associated Flow Rule
6.3 Small Linear Viscoelastic Deformation
6.3.1 GCN Files
6.3.2 MDI Files
6.3.3 Displacement Calculation Program
6.3.4 Stress Calculation Program
6.4 Linear Elastic Problems with Finite Deformation
6.4.1 GCN Files
6.4.2 MDI Files
6.4.3 Displacement Calculation Program
6.4.4 Stress Calculation Program
6.5 Rigid-Plastic
6.5.1 Finite Element Language Program for Steady-State Problems
6.5.2 Finite Element Language Program for Dynamic Problems
Chapter 7 Navier-Stokes Equation
7.1 Steady Mixed Finite Element Language Program
7.1.1 GCN Files
7.1.2 MDI Files
7.1.3 Velocity and Pressure Calculation Program
7.2 Steady Finite Volume Method Language Program
7.2.1 GCN Files
7.2.2 MDI Files
7.2.3 Velocity and Pressure Calculation Program
7.3 Splitting Method of Transient Operator
7.3.1 Finite Element Program of Least Square Method
7.3.2 Finite Element Program for CBS Method
Chapter 8 Darcy Flow
8.1 Finite Element Language Program of Unconfined Seepage Problems..
8.1.1 GCN Files
8.1.2 MDI Files
8.1.3 Calculation Program of Water Head
8.1.4 Force Calculation Program
8.2 Finite Element Language Program of Oil-water Two-phase Flow Problem
8.2.1 Basic Equations for the Two-phase (Oil and Water) Black-oil Model
8.2.2 Processes of Solution Algorithm
8.2.3 GCN Files
8.2.4 MDI Files
8.2.5 Calculation Procedures of Saturation
8.2.6 Processing of Irreducible Water and Residual Oil
Chapter 9 Electromagnetic Fields
9.1 Two-dimensional Electromagnetic Field
9.1.1 Current Field ~
9.1.2 Magnetic Field
9.1.3 Time-harmonic Field
9.2 Three-dimensional Electromagnetic Field
9.2.1 Static Field
9.2.2 Time-harmonic Field
Chapter 10 Structural Mechanics
10.1 Truss Structures
10.1.1 Finite Element Program for 2D Problem
10.1.2 Finite Element Program for 3D Problem
10.2 Beam Structures
10.2.1 Finite Element Program for 2D Problem
10.2.2 Finite Element Program for 3D Problem
10.3 Shell Structures
10.3.1 Finite Element Program for 2D Adini Plate Element
10.3.2 Finite Element Program for 3D Adini Plate Element
10.3.3 Finite Element Program for 2D Mindlin Element of Plate
10.3.4 Finite Element Program for 3D Plate Element
10.4 Finite Element Program for the Spatial Beamplate Composite Structures
10.4.1 GCN Files
10.4.2 MDI Files
10.4.3 Displacement and Rotation Calculation Subroutine
10.4.4 Structure File for Composite Structures
Chapter II Temperature Field
11.1 Finite Element Program of Stable Problem
11.1.1 GCN Files
11.1.2 MDI Files
11.1.3 Temperature Calculation Program
11.1.4 Heat Flow Calculation Program
11.2 Finite Element Program of Transient Problem
11.2.1 GCN Files
11.2.2 MDI Files
11.2.3 Temperature Calculation Program
11.2.4 Heat Flow Calculation Program
Symbol Table
References
Index

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