STABILITY ANALYSIS OF A TWO-DIMENTIONAL DISLOCATION CRACK MODEL
二维位错裂纹的稳定性分析

Based on the one-dimensional dislocation crack model and the energy calculations, a two-dementional dislocation crack model is presented,which is an elliptical crack caused by the dislocation pile-up groups.The total potential energy of this model is obtained. Following the principle of conservation of energy, the equilibrium length of the crack and the critical stresses for growing cracks are given. All results are compared with Griffith's solutions for Mode-I through crack and the elliptical embedded crack, which get in macroscopic fracture mechanics.When the number of dislocation tends to zero, the results obtained in this paper are reduced to that of macroscopic fracture mechanics.