Stress intensity factors for central cracked circular disk subjected to compression

The series expressions of σθ, τrθ and σr in the uncracked circular disk under diametral-compression loading is given in the present paper. Also, the general expressions of the coefficients Aji corresponding to the stress components are derived. For central cracked circular disk subjected to diametrical forces or pressures, the explicit expressions of the stress intensity factors, KI and KII, are proposed by use of the fracture mechanics weight function. Under the pressure loading, the deviation of the stress intensity factors from those under force loading increases with increasing the load distribution angle. The advantage of the present formulae is that the stress intensity factors for any arbitrary relative crack length, loading angle and load distribution angle can be obtained explicitly and easily. The conditions for pure mode I loading do not vary depending upon the relative crack length and load distribution angle. However, the conditions for pure mode II loading are not only dependent on the relative crack length but also load distribution angle. Based on the present solution, the actual critical loading angle for pure mode II crack can be easily calculated according to the actual relative crack length and load distribution angle in the pure mode II fracture test.