Civil Engineering Reference
In-Depth Information
Figure 10.12
A model for shearing and dilation.
given by
ψ
=−
δε
δγ
=
δ
v
v
tan
(10.17)
δ
h
and so the angle
describes the direction of movement of the top of the sample as
shown in Fig. 10.12(a).
Figure 10.13 shows how the stress ratio
ψ
σ
and height change with horizontal
displacement. This is similar to the behaviour of samples D
1
and D
2
in Fig. 10.2.
Firstly the sample compresses from O to A. At the point A the stress ratio is equal
to tan
τ
/
φ
c
and the angle of dilation
ψ
is zero; the sample is neither compressing nor
Figure 10.13
Shearing and dilation in shear tests.