Theoretical Research on the Dynamic Crack Propagation Velocity Based on Nonlocal Field Theories
The purpose of this paper is to discuss the nonlocal effect on dynamic crack propagation velocity. Some experimental phenomena in dynamic fracture and simulative results using molecular & atom dynamics were analyzed and discussed in this paper. The authors found that there were still some disagreements on the dynamic crack propagation velocity. Based on these researches, we introduced nonlocal field theories into the estimation of dynamic crack propagation velocity. The dynamic crack propagation velocity is affected not only by the crack instability, but by characteristic length of material. A nonlocal characteristic length parameter M is defined through a double pile-up dislocation model. According to the Mott’s research method for crack velocity in dynamic fracture and the nonlocal field theories, an approximate theoretical dynamic propagation velocity is obtained. And we conclude that the velocity is related to the combined activity of the nonlocal characteristic length parameter M, the velocity of longitudinal wave, constant k, crack length and Poisson’s ratio.
M.H Aliabadi, S. Abela, S. Baragetti, M. Guagliano and Han-Seung Lee
C. P. Liu et al., "Theoretical Research on the Dynamic Crack Propagation Velocity Based on Nonlocal Field Theories", Key Engineering Materials, Vols. 417-418, pp. 953-956, 2010