کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
499634 863053 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Goal-oriented adaptive mesh refinement for the quasicontinuum approximation of a Frenkel-Kontorova model
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Goal-oriented adaptive mesh refinement for the quasicontinuum approximation of a Frenkel-Kontorova model
چکیده انگلیسی

The quasicontinuum approximation [E.B. Tadmor, M. Ortiz, R. Phillips, Quasicontinuum analysis of defects in solids, Philos. Mag. A 73(6) (1996) 1529–1563] is a method to reduce the atomistic degrees of freedom of a crystalline solid by piecewise linear interpolation from representative atoms that are nodes for a finite element triangulation. In regions of the crystal with a highly nonuniform deformation such as around defects, every atom must be a representative atom to obtain sufficient accuracy, but the mesh can be coarsened away from such regions to remove atomistic degrees of freedom while retaining sufficient accuracy. We present an error estimator and a related adaptive mesh refinement algorithm for the quasicontinuum approximation of a generalized Frenkel-Kontorova model that enables a quantity of interest to be efficiently computed to a predetermined accuracy.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 197, Issues 49–50, 15 September 2008, Pages 4298–4306
نویسندگان
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