Finite element modeling and analytical solution of a semi-elliptic crack's Jintegral

In this work, we first evaluate the J-integral rupture parameter as a function of various crack parameters (crack size, rod dimensions, intensity and nature of loads) for various crack form. In a second step, and in the base of the results obtained by the finite element method, we propose formulas of the factor shape, whose implementation remains rather simple and inexpensive in terms of time, effort and means to the engineer in order to predict evolution of the rupture behavior of a cylindrical component with a semielliptical crack emerging from the surface. The comparison of the proposed analytical solution showed a good performance relatively with results of the literature.