  A problem of an interface crack between two semi-planes made out of different
materials under an action of an in-plane loading of general tensile-shear type
is treated in a semi-analytical manner with the help of Dirichlet-to-Neumann
mappings. The boundaries of the crack and the interface between semi-planes are
subjected to a curvature-dependent surface tension. The resulting system of six
singular integro-differential equations is reduced to the system of three
Fredholm equations. It is shown that the introduction of the
curvature-dependent surface tension eliminates both classical integrable power
singularity of the order 1/2 and an oscillating singularity present in a
classical linear elasticity solutions. The numerical results are obtained by
solving the original system of singular integro-differential equations by
approximating unknown functions with Taylor polynomials.
