کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
514108 866698 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A point interpolation method with locally smoothed strain field (PIM-LS2) for mechanics problems using triangular mesh
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A point interpolation method with locally smoothed strain field (PIM-LS2) for mechanics problems using triangular mesh
چکیده انگلیسی

A point interpolation method with locally smoothed strain field (PIM-LS2) is developed for mechanics problems using a triangular background mesh. In the PIM-LS2, the strain within each sub-cell of a nodal domain is assumed to be the average strain over the adjacent sub-cells of the neighboring element sharing the same field node. We prove theoretically that the energy norm of the smoothed strain field in PIM-LS2 is equivalent to that of the compatible strain field, and then prove that the solution of the PIM-LS2 converges to the exact solution of the original strong form. Furthermore, the softening effects of PIM-LS2 to system and the effects of the number of sub-cells that participated in the smoothing operation on the convergence of PIM-LS2 are investigated. Intensive numerical studies verify the convergence, softening effects and bound properties of the PIM-LS2, and show that the very “tight” lower and upper bound solutions can be obtained using PIM-LS2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Elements in Analysis and Design - Volume 46, Issue 10, October 2010, Pages 862–874
نویسندگان
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