Eduardo Kausel-Fundamental solutions in elastodynamics_ a compendium-Cambridge University Press (2006)

2.2 Line dipoles 29
z
z
z
y
y
y
x
x
G xx G xy G xz
x
z
z
z
y
y
y
x
x
G yx G yy G yz
x
z
z
z
y
y
y
x
x
G zx G zy G zz
x
Figure 2.2: The nine simple dipoles.
2.2 Line dipoles
These are dipoles formed by line sources. They are obtained from the preceding equations
by setting to zero the partial derivatives with respect to the line direction, and using the
Green’s functions for line sources in place of those for point forces.
z
z
z
y
y
T z
T y
x
x
T x
y
x
Figure 2.3: Pure torsional moments.