Based on the theory of elasticity, previous analytical solutions concerning a
penny-shaped interface crack employ the derivative of the crack surface opening
displacements as the primary unknowns, thus leading to singular integral equations
with Cauchy-type singularity. The solutions to the resulting integral equations permit
only the determination of stress intensity factors and energy release rate, and do not
directly provide crack opening and sliding displacements. However, the crack
opening and sliding displacements are physically more meaningful and readily
validated against the finite element analysis predictions and experimental
measurements. Therefore, the present study employs crack opening and sliding as
primary unknowns, rather than their derivatives, and the resulting integral
equations include logarithmic-, Cauchy-, and Hadamard-type singularities. The
solution to these singular integral equations permits the determination of
not only the complex stress intensity factors but also the crack opening
displacements.
