| Abstract: | A closed-form solution for predicting the tangential stress of an inclusion locatedin mixed mode I and II crack tip field was developed based on the Eshelby equivalent inclusiontheory. Then a mixed mode fracture criterion, including the fracture direction and the criticalload, was established based on the maximum tangential stress in the inclusion for brittle inclusion-induced fracture materials. The proposed fracture criterion is a function of the inclusion fracturestress, its size and volume fraction, as well as the elastic constants of the inclusion and the matrixmaterial. The present criterion will reduce to the conventional one as the inclusion having thesame elastic behavior as the matrix material. The proposed solutions are in good agreement withdetailed finite element analysis and measurement. |
