Application of the body force method to the calculation of stress intensity factors for a crack in the arbitrarily shaped plate

Abstract The body force method was applied to the stress analysis of the arbitrarily shaped plate with an inner or edge crack. Stress intensity factors were obtained for various problems and its accuracy was discussed. The resultant forces along the boundary were satisfied as boundary condition. Moreover, it was made clear that in order to obtain the solution, the equilibrium conditions for the total body forces distributed along the boundary must be satisfied. The basic stress functions used for the analysis not only express the stress field of a point force but also satisfy the free surface condition of the crack.

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