TY - EJOU AU - Abraham, Farid F. TI - MAADLY Spanning the Length Scales in Dynamic Fracture T2 - Computer Modeling in Engineering \& Sciences PY - 2000 VL - 1 IS - 4 SN - 1526-1506 AB - A challenging paradigm in the computational sciences is the coupling of the continuum, the atomistic and the quantum descriptions of matter for a unified dynamic treatment of a single physical problem. We described the achievement of such a goal. We have spanned the length scales in a concerted simulation comprising the finite-element method, classical molecular dynamics, quantum tight-binding dynamics and seamless bridges between these different physical descriptions. We illustrate and validate the methodology for crack propagation in silicon. KW - DO - 10.3970/cmes.2000.001.515