有限元方法

所属分类:力学  
出版时间:2009-1   出版时间:世界图书出版公司   作者:监凯维奇   页数:631  
Tag标签:有限元,数值计算,专业,数学  

前言

It is thirty-eight years since the The Finite Element Method in Structural and Continuum Mechanics was first published. This book, which was the first dealing with the finite element method, provided the basis from which many further developments occurred. The expanding research and field of application of finite elements led to the second edition in 1971, the third in 1977, the fourth as two volumes in 1989 and 1991 and the fifth as three volumes in 2000. The size of each of these editions expanded geometrically (from 272 pages in 1967 to the fifth edition of 1482 pages). This was necessary to do justice to a rapidly expanding field of professional application and research. Even so, much filtering of the contents was necessary to keep these editions within reasonable bounds.In the present edition we retain the three volume format of the fifth edition but have decided not to pursue having three contiguous volumes- rather we treat the whole work as an assembly of three separate works. Each one is capable of being used without the others and each one appeals perhaps to a different audience. Though naturally we recommend the use of the whole ensemble to people wishing to devote much of their time and study to the finite element method.

内容概要

This book is dedicated to our wives Helen and Mary Lou and our families for their support and patience during the preparation of this book,and also to all of our students and colleagues who over the years have contributed to our knowledge of the finite element method。 In particular we would like to mention Professor Eugenio Onate and his group at CIMNE for their help, encouragement and support during the preparation process。

作者简介

作者:(英国)监凯维奇 (Zienkiewicz.O.C)

书籍目录

Preface1. General
problems
in
solid
mechanics
and
non-linearity 1.1
Introduction
1.2
Small
deformation
solid
mechanics
problems
1.3
Variational
forms
for
non-linear
elasticity
1.4
Weak
forms
of
governing
equations
1.5
Concluding
remarks References2.
Galerkin
method
of
approximation
-
irreducible
and
mixed
forms 2.1
Introduction
2.2
Finite
element
approximation
-
Galerkin
method
2.3
Numerical
integration
-
quadrature
2.4
Non-linear
transient
and
steady-state
problems
2.5
Boundary
conditions:
non-linear
problems
2.6
Mixed
or
irreducible
forms 2.7
Non-linear
quasi-harmonic
field
problems
2.8
Typical
examples
of
transient
non-linear
calculations
2.9
Concluding
remarks References3.
Solution
of
non-linear
algebraic
equations
3.1
Introduction
3.2
Iterative
techniques 3.3
General
remarks
-
incremental
and
rate
methods References4.
Inelastic
and
non-linear
materials
4.1
Introduction
4.2
Viscoelasticity
-
history
dependence
of
deformation
4.3
Classical
time-independent
plasticity
theory
4.4
Computation
of
stress
increments
4.5
Isotropic
plasticity
models
4.6
Generalized
plasticity
4.7
Some
examples
of
plastic
computation
4.8
Basic
formulation
of
creep
problems
4.9
Viscoplasticity
-
a
generalization
4.10
Some
special
problems
of
brittle
materials
4.11
Non-uniqueness
and
localization
in
elasto-plastic
deformations
4.12
Non-linear
quasi-harmonic
field
problems
4.13
Concluding
remarks References5.
Geometrically
non-linear
problems
-
finite
deformation
5.1
Introduction
5.2
Governing
equations
5.3
Variational
description
for
finite
deformation
5.4
Two-dimensional
forms
5.5
A
three-field,
mixed
finite
deformation
formulation
5.6
A
mixed-enhanced
finite
deformation
formulation
5.7
Forces
dependent
on
deformation
-
pressure
loads
5.8
Concluding
remarks References6.
Material
constitution
for
finite
deformation
6.1
Introduction
6.2
Isotropic
elasticity
6.3
Isotropic
viscoelasticity
6.4
Plasticity
models
6.5
Incremental
formulations
6.6
Rate
constitutive
models
6.7
Numerical
examples
6.8
Concluding
remarks References7.
Treatment
of
constraints
-
contact
and
tied
interfaces
7.1
Introduction
7.2
Node-node
contact:
Hertzian
contact
7.3
Tied
interfaces
7.4
Node-surface
contact
7.5
Surface-surface
contact
7.6
Numerical
examples
7.7
Concluding
remarks References8.
Pseudo-rigid
and
rigid-flexible
bodies
8.1
Introduction
8.2
Pseudo-rigid
motions
8.3
Rigid
motions
8.4
Connecting
a
rigid
body
to
a
flexible
body
8.5
Multibody
coupling
by
joints
8.6
Numerical
examples References9.
Discrete
element
methods10.
Structural
mechanics
problems
in
one
dimension
-
rods11.
Plate
bending
approximation:
thin
(Kirchhoff)
plates
and
C1
continuity requirements12.
“Thick”
Reissner-Mindlin
plates
-
irreducible
and
mixed
formulations13.
Shells
as
an
assembly
of
fiat
elements14.
Curved
rods
and
axisymmetric
shells15.
Shells
as
a
special
case
of
three-dimensional
analysis
-
Reissner-Mindlin assumptions16.
Semi-analytical
finite
element
processes
-
use
of
orthogonal
functions17.
Non-linear
structural
problems
-
large
displacement
and
instability18.
Multiscale
modelling19.
Computer
procedures
for
finite
element
analysisAppendix
A
Isoparametric
finite
element
approximationsAppendix
B
Invariants
of
second-order
tensorsAuthor
indexSubject
index

章节摘录

插图:

编辑推荐

《有限元方法固体力学和结构力学(第6版)》由世界图书出版公司出版。

图书封面

图书标签Tags

有限元,数值计算,专业,数学


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用户评论 (总计52条)

 
 

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    机械工程专业必备教材,印刷很漂亮
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  •      有限元方法基本书籍。,书还不错
  •     帮助文件的翻译,非常适用于初学者!!
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  •     当当买书,但是看起来确实很费时间。
  •     老师也很好。,很喜欢商品
  •     东西挺不错的,这本书还不错
 

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