Civil Engineering Reference
In-Depth Information
excavation and construction as is required, for example for tunnelling
4
. By choosing to
implement the method we have also laid the groundwork for the coupling with the finite
element method so that there is not much more theory to discuss in Chapter 16. The
multi-region method extends the capability of the BEM not only to handle non-
homogeneous domains but also, as will be demonstrated later, can be applied to contact
and crack propagation problems
5
.
11.6
EXERCISES
Exercise 11.1
Use program 11.1 to analyse the cantilever beam in Figure 11.10 consisting of two
materials. Assume
EE
(1.0, 2.0, 5.0). Compute the
internal stresses for each region using program 9.1 and plot along a vertical line.
Q and different ratios of
0
12
1
kN
/
m
0.5 m
E
E
0.5 m
5 m
Figure 11.10
Dimensions of cantilever beam
Exercise 11.2
Use program 11.1 to analyse the circular excavation in an inhomogeneous prestressed
ground (
V
1.0,
V
) shown in Figure 11.11 (see also Exercise 7.3).
0
vertical
horiz
.
Assume
EE
. Use different values of distance
a
(2, 5, 10 m).
Determine the effect on the maximum displacements.
Q and
0
/
0.5
21
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