An efficient boundary weight function method for the determination of stress intensity factors in a twodimensional mixed mode cracked body with arbitrary shape and subjected to arbitrary loading is presented in this study. The functional form of the boundary weight functions for modes I and II are successfully demonstrated by using the least squares fitting procedure. Explicit boundary weight functions are presented for rectangular plates of finite width and length containing edge and central cracks. If the stress distribution of a cut out rectangular cracked plate from any arbitrary shape of cracked body subjected to arbitrary loading is determined, the stress intensity factors K~ and Kn for the cracked body can be obtained from the predetermined boundary weight functions by a simple integration. Comparison from the literature of the calculated results with some solutions by other workers confirms the efficiency and accuracy of the proposed weight function method.
An efficient boundary weight function method for the determination of mode I stress intensity factors in a three-dimensional cracked body with arbitrary shape and subjected to arbitrary loading is presented in this study. The functional form of the boundary weight functions are successfully demonstrated by using the least squares fitting procedure. Explicit boundary weight functions are presented for through cracks in rectangular finite bodies. If the stress distribution of a cut out rectangular cracked body from any arbitrary shape of cracked body subjected to arbitrary loading is determined, the mode I stress intensity factors for the cracked body can be obtained from the predetermined boundary weight functions by a simple integration. Comparison of the calculated results with some solutions by other workers from the literature confirms the efficiency and accuracy of the proposed boundary weight function method.
In this study, mode I stress intensity factors for a three-dimensional finite cracked body with arbitrary shape and subjected to arbitrary loading is presented by using the boundary weight function method. The weight function is a universal function for a given cracked body and can be obtained from any arbitrary loading system. A numerical finite element method for the determination of weight function relevant to cracked bodies with finite dimensions is used. Explicit boundary weight functions are successfully demonstrated by using the least-squares fitting procedure for elliptical quarter-corner crack and embedded elliptical crack in parallelepipedic finite bodies. If the stress distribution of a cut-out parallelepipedic cracked body from any arbitrary shape of cracked body subjected to arbitrary loading is determined, the mode I stress intensity factors for the cracked body can be obtained from the predetermined boundary weight functions by a simple surface integration. Comparison of the calculated results with some available solutions in the published literature confirms the efficiency and accuracy of the proposed boundary weight function method.
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