کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498028 862963 2014 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Study of the strong prolongation equation for the construction of statically admissible stress fields: Implementation and optimization
ترجمه فارسی عنوان
بررسی معادله طولانی مدت قوی برای ساختن میدان های استرس قابل قبول استرس: پیاده سازی و بهینه سازی
کلمات کلیدی
تایید، روش عنصر محدود خطاهای خطا، زمینه تنش پذیری
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی

This paper focuses on the construction of statically admissible stress fields (SA-fields) for a posteriori error estimation. In the context of verification, the recovery of such fields enables to provide strict upper bounds of the energy norm of the discretization error between the known finite element solution and the unavailable exact solution. The reconstruction is a difficult and decisive step insofar as the effectiveness of the estimator strongly depends on the quality of the SA-fields. This paper examines the strong prolongation hypothesis, which is the starting point of the Element Equilibration Technique (EET). We manage to characterize the full space of SA-fields satisfying the prolongation equation so that optimizing inside this space is possible. The computation exploits topological properties of the mesh so that implementation is easy and costs remain controlled. In this paper, we describe the new technique in details and compare it to the classical EET and to the flux-free technique for different 2D mechanical problems. The method is explained on first degree triangular elements, but we show how extensions to different elements and to 3D are straightforward.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 268, 1 January 2014, Pages 82–104
نویسندگان
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