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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
Convergence and consistency analyses 165
a function of the coordinate y at a specic value of the coordinate x. As a
result, the vertical distribution of v is expected. These expected behaviours
in the displacements u and v are veried inFigure4.13.
4.3.5.2 Cantilever beam under pure shear
A cantilever beam is loaded under a pure shear, as shown in Figure4.14a.
The displacements u and v are set to zero at the node (0,0) due to the hinge
support. The stresses σ
xx
and σ
xy
are imposed along the boundaries x = 0
and x = L according to
PL xy
I
P
I
D
y
xx xy yy
()
,
24
an
d0
2
2
σ=
σ=
σ=
(4.39)
(a)
6
4
2
0
y (mm)
–2
–4
–6
0246
x (mm)
81012
(c)
6
4
2
0
y (mm)
–2
–4
–6
0246 ...
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Publisher Resources

ISBN: 9781466517462