A Crack Problem on a Slab with an Annular Crack Subjected to Pressure

抄録

Although the stress analysis of a body containing cracks has been widely investigated concerning the stress intensity factor well used in fracture mechanics, few papers are reported on slab problems in spite of their availability. In the present paper, a slab with a pressurized annular crack on the middle plane is treated on the basis of three-dimensional theory of elasticity. The displacement normal to the crack faces is supposed to be expressed by the Fourier series. Thus the triple integral equation is replaced by a set of the infinite simultaneous equations and its solution is much simplified. Additionally, displacements, stresses and stress intensity factors are also shown by those coefficients of Fourier series and their numerical results are easily obtained. It is concluded that displacements and stress intensity factors become large as the slab thickness is small under the same conditions.