کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
511314 865836 2008 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Finite element analysis with staggered gradient elasticity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Finite element analysis with staggered gradient elasticity
چکیده انگلیسی

In this article, staggered gradient elasticity formulations are studied. Firstly, the standard equations of classical elasticity are considered. Afterwards, a set of Helmholtz equations associated with the theory of gradient elasticity is solved to handle the gradient dependence. Due to the two-step nature of the algorithms, C0C0-continuous interpolation functions suffice and finite element discretisations are straightforward and efficient. Different versions of staggered gradient elasticity are treated, whereby the Helmholtz equations operate on the displacements, on the strain tensor, on the stress tensor or on a strain invariant. The governing equations are given with their consistent boundary conditions. The formulations are tested against two criteria: whether all singularities are removed from the strain field, and whether the models are capable of describing size effects.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Structures - Volume 86, Issues 11–12, June 2008, Pages 1266–1279
نویسندگان
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