Abstract：The mechanical properties of the material are affected by the inevitable defects such as inclusions and cracks. In order to study the mutual interference of cracks and inclusions in isotropic full-space, the heterogeneous inclusions are approximated as homogeneous inclusions with the same elastic modulus as the matrix and containing unknown eigenstrain, and the I/II mixed cracks are approximated as climb dislocations and slide dislocations of unknown densities based on the method of combining the equivalent inclusion method and the distributed dislocation technology. A semi-analytical model that can simulate the interference of inclusions and cracks in isotropic full-space is established, and the stress intensity factor of the crack tip is solved based on the dislocation distribution. The conjugate gradient method is used in this model to iteratively solve the unknowns, and the fast Fourier transform algorithm is introduced to improve the computational efficiency, and finally, the effectiveness of the model developed in the study is verified by the finite element method . This model can provide an insight for the interference scheme of various defective structures and fracture behavior of the material.
2024, Vol. 45 
