 
Summary: Singular ElastoStatic Field Near a Fault Kink
RODRIGO ARIAS,1
RAU´ L MADARIAGA,2
and MOKHTAR ADDABEDIA
3
AbstractWe study singular elastic solutions at an angular
corner left by a crack that has kinked. We have in mind a geo
physical context where the faults on either side of the kink are
under compression and are ready to slip, or have already slipped,
under the control of Coulomb friction. We find separable static
singular solutions that are matched across the sides of the corner by
applying appropriate boundary conditions. In our more general
solution we assume that one of the sides of the corner is about to
slide, i.e. it is just contained by friction, and the other may be less
pressured. Our solutions display power law behaviour with real
exponents that depend continuously on the angle of the corner, the
coefficient of static friction and the difference of shear load on both
sides of the corner. When friction is the same on both sides of the
kink, the solutions split into a symmetric and an antisymmetric
solution. The antisymmetric solution corresponds to the simple
