کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
499426 | 863044 | 2008 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations](/preview/png/499426.png)
In this paper, we propose a multiscale coupling approach to perform Monte-Carlo simulations on systems described at the atomic scale and subjected to random phenomena. The method is based on the Arlequin framework, developed to date for deterministic models involving coupling a region of interest described at a particle scale with a coarser model (continuum model). The new method can result in a dramatic reduction in the number of degrees of freedom necessary to perform Monte-Carlo simulations on the fully atomistic structure. The focus here is on the construction of an equivalent stochastic continuum model and its coupling with a discrete particle model through a stochastic version of the Arlequin method. Concepts from the Stochastic Finite Element Method, such as the Karhünen–Loeve expansion and Polynomial Chaos, are extended to multiscale problems so that Monte-Carlo simulations are only performed locally in subregions of the domain occupied by particles. Preliminary results are given for a 1D structure with harmonic interatomic potentials.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 197, Issues 43–44, 1 August 2008, Pages 3530–3546