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Meshless Methods and Their Numerical Properties
book

Meshless Methods and Their Numerical Properties

by Hua Li, Shantanu S. Mulay
February 2013
Intermediate to advanced content levelIntermediate to advanced
447 pages
14h 16m
English
CRC Press
Content preview from Meshless Methods and Their Numerical Properties
170 Meshless methods and their numerical properties
4.3.5.4 Semi-infinite plate with a central hole
The RDQ method is applied to solve the problem of a semi-innite plate with
a central hole, as shown in Figure4.20a. Only one quarter of the plate is used
as the computation domain due to the axis-symmetric nature, as shown in
Figure4.20b. The analytical solutions in a Cartesian coordinate system are
given as
u
E
P
rb
r
b
r
b
r
1
1
cos( )
2
1
cos( )
2
cos3
2
cos(3)
0
00
22 4
3
()
=
θ+
θ+ θ− θ
(4.49)
v
E
P
rb
r
b
r
b
r
1
1
sin( )
1
1
sin( )sin(3 )
2
sin(3)
2
00
0
0
0
22 4
3
=
−ν
θ−
−ν
θ
+
θ
θ
(4.50)
–1.5
–1
–0.5
0
0.5
1
1.5
0
2
4
6
8
–2.5
–2
–1.5
–1
–0.5
12
10 ...
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Publisher Resources

ISBN: 9781466517462