Stress intensity factor of a mode I crack inside a nanoscale cylindrical inhomogeneity

Interior crack of a nanoscale cylindrical inhomogeneity with interface stresses under remote load is investigated. Utilizing the distributed dislocation technique, stress intensity factor at crack tip is obtained. The results show that both positive (negative) residual interface tension and interface elasticity suppress (promote) crack propagation under remote load. The effects of residual interface tension and interface elasticity on stress intensity factor increase with decreasing inhomogeneity radius. When inhomogeneity radius reduces to a small value, even with remote load, the crack does not propagate due to positive residual interface tension.