有限元法(第2卷)

所属分类:数学  
出版时间:2005-4   出版时间:世界图书出版公司   作者:O.C.Zienkiewicz.R.L.Taylor 著   页数:459  

内容概要

这是一套在国际上颇具权威性的经典著作(共3卷),由有限元法的创始人Zienkiewicz教授和美国加州大学Taylor教授合作撰写。本书初版于1967年,以后经过多次修订再版,深受力学界和工程界科技人员的欢迎。本套书的特点是理论可靠,内容全面,既有基础理论,又有其具体应用。适用于计算力学、力学、土木、水利、机械、航天航空等领域的专家、教授、工程技术人员和研究生。

书籍目录

Preface
to
Volume
21.
General
problems
in
solid
mecbanics
and
non-linearity
1.1
Introduction
1.2
Small
deformation
nondinear
solid
mechanics
problems
1.3
Non-linear
quasi
harmonic
field
problems
1.4
Some
typical
examples
of
tr
msient
non-linear
calculations
1.5
Concluding
remarks
References2
Solution
of
non-linear
algebraie
equations
2.1
Introduction
2.2
Iterafive
techniques
References3
Inelastic
and
non-linear
materials
3.1
Introduction
3.2
Viscoelasticity
history
dependence
ofdeforma
on
3.3
Classical
timedndependent
plasticity
theory
3.4
Computation
of
stress
increments
3.5
lsotropie
plasticity
models
3.6
Generalized
plasticity
non-associative
case
3.7
Some
examples
of
plastic
computation
3.8
Basic
formulafion
of
creep
problems
3.9
Viscoplasticity
a
generalization
3.10
Some
special
problems
of
brit
tie
materials
3.11
Non-uniqueness
and
localization
in
elast
o-plastic
deformations
3.12
Adaptive
refinement
and
localization
(slip
line)
capture
3.13
Non-linear
q
uasi-hannonic
field
problems
References4.
Plate
bending
approximation:
thin
(Kircbbofi)
plates
and
c1
continuity
requirements
4.1
Introduction
4.2
The
piale
problem:
thick
and
thin
formulations
4.3
Rectangular
element
with
corner
nodes
(12
degrees
of
freedom)
4.4
Quadrilateral
and
parallelogram
elements
4.5
Triangular
element
with
corner
nodes
(9
degrees
of
freedom)
4.6
Triangular
element
of
the
simplest
form
(6
degrees
of
freedom)
4.7
The
patch
test
an
analytical
requirement
4.8
Numerical
examples
4.9
General
remarks
4.10
Singular
shape
functions
for
the
simple
triangular
element
4.11
An
18
degree
of-freedom
triangular
element
with
conformingshape
functions
4.12
Compatible
quadrdateral
element
4.13
Quasi-confoming
elements
4.14
Hermitian
rectangle
shape
function
4.15
The
21
and
18
degree-of-freedom
triangle
4.16
Mixed
forulations
-
general
remarks
4.17
Hybrid
plate
elements
4.18
Discrte
Kirchhoffconstraints
4.20
Inelastic
material
behaviour
4.21
Concluding
remarks
-
which
elements?
References5
'Thick'
Reissner
Mindlin
plates
-
irreducible
and
mixed
formuladons
5.1
Introduction
5.2
The
irreducible
formutation
reduced
integration
5.3
Mixed
formulation
for
thick
plates
5.4
The
patch
test
for
plate
bending
elements
5.5
Elements
with
discrete
collocation
constraints
5.6
Elements
wilh
rotational
bubble
or
enhanced
modes
5.7
Linked
interpolation
an
improvement
of
accuracy
5.8
Discrete
"exact'
thin
plate
limit
5.9
Performance
of
various
'thick'
plate
elements
lindtations
ofthin
plate
theory
5.10
Forms
without
rotation
parameters
5.11
Inelastic
material
behaviour
5.12
Concluding
remarks
adaptive
refinement
References6.
Shegs
as
an
assembly
of
flat
elements
6.1
Introduction
6.2
Stiffness
of
a
plane
element
in
local
coordinates
6.3
Transformation
to
globM
coordinates
and
assembly
of
elements
6.4
Local
direction
cosines
6.5
'Drilling'
rotational
stiffness
6
degree
of-freedom
assembly
6.6
Elements
with
mid-side
slope
connections
only
6.7
Choice
of
element
6.8
Practical
examples
References7.
Axisymmetric
shells8.
Shells
as
a
special
case
of
three-dimensional
analysis-Reissner-Mindlin
assumptions9.
Semi-analytical
finite
element
processes-usr
of
orthogonal
functions
and
'finite
strip'methods10.
Geometrically
non-linear
problems-finite
deformation11.
Non-linear
stuctural
problems-large
displacement
and
instability12.
Pseudo-rigid
and
rigid-flexible
bodies13.
Computr
procedures
for
finite
element
analysisAppendix
A:Invariants
of
second-order
tensorsAuthor
index
Subject
index

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用户评论 (总计4条)

 
 

  •     此书算是比较经典的有限元方面的书籍,不过要有一定的基础才能完全看懂。
  •     对有志从事数值计算的人来说,读一读原著,是在是一种享受
  •     书的外观和纸张均佳。书自身的含金量非常高。
  •     书还是不错的,看中····
 

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