Abstract
We propose a mathematical model of healing of a crack located in the plane of isotropy of a transversely isotropic body subjected to the action of arbitrary external loads performed by gluing its faces. We solve the system of integral equations for the displacements of crack faces. For several cases of uniaxial tension of the body with filled crack, we obtain the analytic relations and plot the dependences of the stress intensity factor (SIF) on the parameters of the filler material and the elastic moduli of the body. It is shown that the SIF of the unfilled crack, unlike the case of filled crack, does not depend on the elastic constants of the material.
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