Static deformations and dislocation theory - Earth Dynamics: Deformations and Oscillations of the Rotating Earth - page 507

Similarly, for the strike-slip system (9.64) we find

2 n 1

8π r 3

+

u − n ( r ) = n ( n + 1)δ( r − r 0 )cosα,

2 n 1

8π r 3 δ( r

+

u n ( r )

=− − r 0 )cosα,

+

2 n 1

v − n ( r )

8π r 2 δ ( r

=− − r 0 )cosα,

2 n + 1

n ( r )

1) δ ( r

= −

v r 0 )cosα,

8π r 2 n ( n +

3 i ( 2 n

+

1 )

v − n ( r ) =− ( n − 1)( n + 2)δ( r − r 0 )sinα,

16π r 3

1)
16π r 3 n ( n +

3 i (2 n +

n ( r )

v =

1 ) δ( r

− r 0 )sinα, (9.82)

2 n 1

8π r 3 δ( r

+

t n ( r ) =− − r 0 )sinα,

i (2 n + 1)

t − n ( r )

8π r 2 δ ( r

=− − r 0 )cosα,

i (2 n + 1)

t n ( r )

1) δ ( r − r 0 )cosα,

=−

8π r 2 n ( n +

3 ( 2 n + 1 )

t − n ( r ) = ( n − 1)( n + 2)δ( r − r 0 )sinα,

16π r 3

1)
16π r 3 n ( n +

3 (2 n +

t n ( r ) =

1) δ( r

− r 0 )sinα.

cients of the radial spheroidal, transverse
spheroidal and torsional parts of the extra double-force densities (9.79), arising
from co-ordinate curvature for the dip-slip system, and taking the limit as θ 0 goes
to zero, we find

Once again, extracting the radial coe

2 n 1

4π r 3 δ( r

+

u n ( r ) = − r 0 ) sin 2α,

2 n 1

8π r 3 δ( r

+

n ( r )

=− −

v r 0 ) sin 2α,

i (2 n 1)

8π r 3 δ( r

+

v − n ( r ) = − r 0 )cos2α,

i (2 n + 1)

1

v

n ( r )

=

1) r 3 δ( r

− r 0 )cos2α,

8π n ( n +