Comparison of two different implementations of a finite-difference-method for first-order pde in mathematica and matlab
نویسندگان
چکیده
1 Physics and analytical solution The growth rate of microcracks in a brittle material can be discribed by a mesoscopic equation. Here the specialized version for uniaxial loading is presented. ∂f(l, t) ∂t = − 1 l2 ∂lvl(l, t)f(l, t) ∂l , (1) f(l, t) is the distribution function for the crack length l at time t, vl = l̇ is the growth velocity of the cracks. A Rice-Griffith-like dynamic is assumed for crack growth, which gives
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ورودعنوان ژورنال:
- CoRR
دوره abs/cs/0506051 شماره
صفحات -
تاریخ انتشار 2005