First, the crack initiation is assumed to be governed by the Griffith criterion. We make two assumptions in the continuum analysis. The challenge here is to test if a continuum elastodynamics analysis of the same problem can correctly predict the length and time scales observed in the molecular dynamics simulations. The daughter crack emerges at a distance ahea d of the mother crack. We observe that the crack quickly accelerates to the Rayleigh wave speed and, after propagating at this speed for a short time period, nucleates an intersonic daughter crack which jumps to the longitudinal wave speed. To facilitate the continuum-atomistic linkage, the problem is selected such that a block of linearly isotropic, plane-stress elastic solid consisting of a two-dimensional triangular atomic lattice with pair interatomic potential is loaded by constant shear velocities along the boundary.Ī pre-existing notch is introduced to represent an initial crack which starts to grow at a critical time after the loading process begins. Part of the objective is to test if continuum theory can accurately predict the critical time and length scales observed in molecular dynamics simulations. Mechanisms of intersonic crack propagation along a weak interface under shear dominated loading are studied by both molecular dynamics and continuum elastodynamics methods. Acer Aspire 7720 Xp Audio Driver Windows 7. IntroductionThis paper reports a study of intersonic crack dynamics using both atomistic and continuum methods, with emphasis on the linkage between “mechanics.

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