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On the membrane locking of h – p finite elements in a cylindrical shell problem
Author(s) -
Leino Yrjö,
Pitkäranta Juhani
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620370611
Subject(s) - finite element method , quadratic equation , cylinder , shell (structure) , deformation (meteorology) , grid , work (physics) , geometry , mathematics , order (exchange) , mathematical analysis , physics , mechanics , materials science , structural engineering , engineering , composite material , quantum mechanics , finance , economics
We study the performance of high‐order h – p finite clement schemes in approximating the nearly inexlensional deformation state of a thin cylindrical shell roof with both ends free. Severe locking is demonstrated for both quadratic and cubic elements, and even for higher order if the grid is not aligned with the axis of the cylinder. Carefully designed selective reduced integration is shown to improve the accuracy of the finite element approximation at low and moderately high orders. However, so far this technique seems to work well only on aligned grids.