Civil Engineering Reference
In-Depth Information
(9.6)
in which
(9.7)
(9.8)
The stresses in the element are obtained by multiplying the strains by the
material elasticity properties
{
s
}=[
D
]{
e
}
(9.9)
For isotropic materials
(9.10)
and in order to prepare for the more general case in non-linear analysis, the
more general form for orthotropic materials is given by
(9.11)
or
(9.12)
Where E
x
, E
y
,
E
n
and G
n
are the material properties which should take the
appropriate values at different stress-strain level according to the
constitutive law adopted.
The stresses caused by the element nodal displacements are then related
by the following relation
