کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498159 862973 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Natural element approximation of Reissner–Mindlin plate for locking-free numerical analysis of plate-like thin elastic structures
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Natural element approximation of Reissner–Mindlin plate for locking-free numerical analysis of plate-like thin elastic structures
چکیده انگلیسی

A rotation-free mixed natural element approximation of Reissner–Mindlin plate for the locking-free numerical analysis of plate-like thin elastic structures is presented, motivated by the rotation-free approximation for plate- and shell-like elastic structures and the high smoothness of Laplace interpolation functions used in natural element method. The mid-surface deflection and the rotation of shear are directly approximated using Laplace interpolation functions, while the Voronoi polygon-wise constant curvatures and bending moments are indirectly computed by area-averaging the boundary integrals of deflection derivatives and rotation of shear. The present approximation of the deflection and rotation of shear of discretized Reissner–Mindlin plate bending problem is formulated according to the modified mixed Hu-Washizu principle. Through the numerical results, it is verified that the rotation-free mixed natural element approximation of only the deflection and rotation of shear successfully prevents shear locking in the numerical analysis of plate-like thin elastic structures.


► A rotation-free mixed natural element approximation of RM plate is introduced.
► The Voronoi polygon-discretized RM plate is formulated according to the mixed Hu-Washizu principle.
► Only the deflection and rotation of shear are directly approximated using Laplace interpolation functions.
► The present method successfully prevents shear locking in the numerical analysis of RM plate bending problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 256, 1 April 2013, Pages 17–28
نویسندگان
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