工程有限元分析

工程有限元分析

图书基本信息
出版时间:2013-1
出版社:北京航空航天大学出版社
作者:崔德渝,徐元铭 著
页数:323
书名:工程有限元分析
封面图片
工程有限元分析
内容概要
  This textbook presents the necessary concepts, principles and general procedure of Finite Element Method (FEM) which are primarily applied for linearly elastic structural analysis including plane problems, axisymmetric problems, space problems, plates and shells and fracture mechanics. The FEM of heat transfer in brief is also incorporated. Some straightforward examples are introduced to demonstrate a complete and detailed finite element procedure. The aim of the text is to provide the fundamental theories and numerical methodology in finite element analysis. It focuses on the derivation of key governing equations of the FEM and its engineering application.  This text can be regarded as a text or reference book for the university under- and post-graduate students or engineers whose majors are related to mechanics, aerospace, mechanical and civil engineering, heat transfer and so on.
书籍目录
Chapter
1
Introduction
to
Finite
Element
Method1.1
Basic
Concept
of
Finite
Element
Method1.2
General
Description
of
Finite
Element
Method1.2.1
Finite
Element
Technique
in
Structure
Analysis1.2.2
Finite
Element
Technique
in
Heat
Conduction1.2.3
Summary1.3
Engineering
Applications
of
Finite
Element
Analysis1.4
Principle
of
Virtual
Displacements
and
Variational
Approach1.4.1
Principle
of
Virtual
Displacements
(PVD)1.4.2
Variational
FormulationProblem
Set
1Chapter
2
General
Procedure
of
Finite
Element
Method2.1
Interpolation
Functions2.2
Strain-displacement
Relations2.3
Stress-strain
Relations
(Constitutive
Relations)2.4
Governing
Equations
in
Finite
Element
Analysis2.5
Stiffness
Matrices2.5.1
Element
Stiffness
Matrix2.5.2
Global
Stiffness
Matrix2.6
Equivalent
Nodal
Force
Vectors2.6.1
Element
Equivalent
Nodal
Force
Vector2.6.2
Global
Equivalent
Nodal
Force
Vector2.7
Imposition
of
Boundary
Condition2.8
Numerical
Examples2.9
Area
Coordinates2.10
Six-node
Triangular
Elements2.11
Linear
Rectangular
ElementsProblem
Set
2Chapter
3
Formulation
of
Isoparametric
Finite
Element
Matrices3.1
Isoparametric
Concepts3.2
Construction
of
Interpolation
Functions3.2.1
The
Pascal
Triangle3.2.2
Lagrange
Polynomials3.2.3
Lagrange
Polynomials
in
Dimensionless
Form3.3
Family
of
Two-dimensional
Isoparametric
Elements3.4
Formulation
of
Isoparametric
Finite
Element
Matrices
for
Plane
Elasticity3.4.1
Interpolation
Functions3.4.2
Strain-displacement
Transformation
Matrix3.4.3
Constitutive
Relations3.4.4
Element
Stiffness
Matrix3.4.5
Element
Load
Vector3.5
Isoparametric
Triangular
Elements
in
Terms
of
Area
CoordinatesProblem
Set
3Chapter
4
Stress
Analysis
of
Axisymmetric
Problems4.1
Interpolation
Functions4.2
Strain-displacement
Relations4.3
Stress-strain
Relations4.4
Element
Stiffness
Matrix4.5
Element
Equivalent
Nodal
Force
Vector4.6
Four-node
Rectangular
Ring
Element4.7
A
Numerical
ExampleProblem
Set
4Chapter
5
Analysis
of
Three-dimensional
Problems5.1
Convergence
Considerations5.2
Shape
Functions
for
Three-dimensional
Elements5.2.1
Shape
Functions
for
Tetrahedron
Elements5.2.2
Shape
Functions
for
Three-dimensional
Hexahedral
Elements5.3
Formulation
of
Three-dimensional
Isoparametric
Element
Matrices5.3.1
Interpolation
Functions……Chapter
6
Finite
Element
Analysis
for
Plates
and
ShellsChapter
7
Finite
Element
Analysis
in
Fracture
MechanicsChapter
8
Heat
TransferReferences
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