This work deals with the development of an analytical formula that may be useful to characterize the stress distribution around discontinuities. Hence to satisfy the original problem of stress distribution as well as residual stress that remained around the boundary holes in plates. The method of analysis presented here involves with perturbation m stress concentration factor that defines the stress distribution concerning applied stress in addition to perturbation in the stress distribution appears due to the presence of residual stress that remains after creating the hole and removing all the external forces.
A numerical analysis first presented to satisfy the general solution of stress distribution around a hole in plates for a variety of biaxial loading conditions. The stress distribution are then determine for variable values of rectangular coordinates representing the width to length ratio of the finite plate bλ/av (bx nondimensionalized concerning ay).
Furthermore, the proposed formula successfully ctmployed to solved the problem of stress distribution around a hole in infinite plates under biaxial state of stress. Moreover, numerical results presented over a range of biaxial loading conditions for a variety of nondimensionalized factor, r/ar (a, concerning the hole mdius) Comparison of the results indicates excellent agreement with the known solution.