کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
797753 1467050 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The non-uniqueness of the atomistic stress tensor and its relationship to the generalized Beltrami representation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
The non-uniqueness of the atomistic stress tensor and its relationship to the generalized Beltrami representation
چکیده انگلیسی

The non-uniqueness of the atomistic stress tensor is a well-known issue when defining continuum fields for atomistic systems. In this paper, we study the non-uniqueness of the atomistic stress tensor stemming from the non-uniqueness of the potential energy representation. In particular, we show using rigidity theory that the distribution associated with the potential part of the atomistic stress tensor can be decomposed into an irrotational part that is independent of the potential energy representation, and a traction-free solenoidal part. Therefore, we have identified for the atomistic stress tensor a discrete analog of the continuum generalized Beltrami representation (a version of the vector Helmholtz decomposition for symmetric tensors). We demonstrate the validity of these analogies using a numerical test. A program for performing the decomposition of the atomistic stress tensor called MDStressLab is available online at http://mdstresslab.org.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Mechanics and Physics of Solids - Volume 93, August 2016, Pages 72–92
نویسندگان
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