Abstract:
In the present work the stress intensity factor of radial crack emanating from the edge of a
circular hole subjected to combined normal and shear loading has been investigated
numerically. This work has been done following a new approach in which stress intensity
factor can be calculated without calculating the shape factor, which depends on the crack
geometry and loading condition. For each of the crack geometry, such as crack length, hole
radius and for each of the loading condition shape factor has to be determined separately and
its determination require extensive numerical computation. In this work stress intensity factor
has been determined by calculating the shape factor in a more general form. Here stress
intensity factor is related to the solution of a Fredholm integral equation, which is obtained
by applying the equations of elasticity to the problem. A computational program has been
written to obtain the theoretical results. Stress intensity factor has been calculated for
different values of crack length and loading condition. From the stress intensity factors, the
stress distribution around the crack tip also has been determined theoretically. A relation
between mode-I and mode-II stress intensity factors has been established for a specific range
of crack length and loading condition. Stress intensity factor and the stress field can be easily
determined by using this relationship. A finite element modeling of the problem also has
been carried out in a finite element software, ANSYS and the theoretical results have been
compared with the finite element results. The results were found in good agreement.
