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An efficient assumed strain element model with six DOF per node for geometrically non‐linear shells
Author(s) -
Park Hoon C.,
Cho Chahngmin,
Lee Sung W.
Publication year - 1995
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.1620382403
Subject(s) - kinematics , finite element method , node (physics) , spurious relationship , shell (structure) , displacement (psychology) , rotation (mathematics) , degrees of freedom (physics and chemistry) , displacement field , field (mathematics) , mathematical analysis , geometry , mathematics , classical mechanics , physics , structural engineering , engineering , mechanical engineering , psychology , statistics , quantum mechanics , pure mathematics , psychotherapist
Abstract The present paper describes an assumed strain finite element model with six degrees of freedom per node designed for geometrically non‐linear shell analysis. An important feature of the present paper is the discussion on the spurious kinematic modes and the assumed strain field in the geometrically non‐linear setting. The kinematics of deformation is described by using vector components in contrast to the conventional formulation which requires the use of trigonometric functions of rotational angles. Accordingly, converged solutions can be obtained for load or displacement increments that are much larger than possible with the conventional formulation with rotational angles. In addition, a detailed study of the spurious kinematic modes and the choice of assumed strain field reveals that the same assumed strain field can be used for both geometrically linear and non‐linear cases to alleviate element locking while maintaining kinematic stability. It is strongly recommended that the element models, described in the present paper, be used instead of the conventional shell element models that employ rotational angles.