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Resolving membrane and shear locking phenomena in curved shear‐deformable axisymmetric shell elements
Author(s) -
Tessler Alexander,
Spiridigliozzi Luciano
Publication year - 1988
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.1620260506
Subject(s) - rotational symmetry , mechanics , stiffening , simple shear , shear (geology) , curvature , finite element method , stiffness matrix , rotary inertia , structural engineering , inertia , materials science , geometry , classical mechanics , physics , mathematics , engineering , shear stress , composite material
A simple two‐node axisymmetric shell element with shallowly curved meridian assumptions and the inclusion of shear deformation and rotary inertia is presented. The principal developments include: (a) consistent resolution of the membrane and shear related excessive stiffening (locking) via anisoparametric interpolations of the displacement variables; (b) further upgrading of strain energy by means of a shear relaxation (correction) parameter. The resulting element possesses an improved condition of the stiffness matrix, increased efficiency in explicit time integration and enhanced accuracy in coarse discretizations. Comprehensive vibration examples are carried out to assess the element performance. The numerical results demonstrate a wide applicability range with respect to element slenderness and curvature properties.