Étude des instabilités à l'échelle atomique du graphène par la méthode asymptotique numérique

作者: Julien Yvonnet , Yu Cong , Hamid Zahrouni

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摘要: In this study, we present a numerical technique based on the Asymptotic Numerical Method (ANM) to deal with instability phenomena in context of molecular mechanics simulation. Systems investigated consist atomic-scale single walled lattice structures (such as graphene sheets) and are subjected quasi-static tensile loading. The presence instabilities within structure brings about significant influence mechanical behaviors at larger scale. Better computational efficiency can be observed compared classical methods such Newton-Raphson those that use conjugate gradient. Mots clefs : Methode asymptotique numerique ; instabilite

参考文章(2)
Saeid Nezamabadi, Hamid Zahrouni, Julien Yvonnet, Solving hyperelastic material problems by asymptotic numerical method Computational Mechanics. ,vol. 47, pp. 77- 92 ,(2011) , 10.1007/S00466-010-0531-Z
Wassila Aggoune, Hamid Zahrouni, Michel Potier-Ferry, High-order prediction-correction algorithms for unilateral contact problems Journal of Computational and Applied Mathematics. ,vol. 168, pp. 1- 9 ,(2004) , 10.1016/J.CAM.2003.05.015