Abstract
An antiplane problem of a stress deformation condition of a
piecewise wedge
consisting of two heterogeneous wedges with different opening
angles and containing on the line of their attachment a system of
arbitrary finite number of collinear cracks is investigated. With
the help of Mellin's integral transformation the problem is
brought to the solution of the singular integral equation relating
to the density of the displacement dislocation on the
cracks, which then is reduced to a system of singular integral
equations with kernels being represented in the form of sums of
Cauchy kernels and
regular kernels. This system of equations is solved by the known
numerical method. Stress intensity factors (SIF) are calculated
and the behavior of characteristic geometric and physical
parameters is revealed. Besides, the density of the displacement
dislocation on the cracks, their evaluation, and