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An assumed strain finite element model for large deflection composite shells
Author(s) -
Yeom C. H.,
Lee S. W.
Publication year - 1989
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.1620280804
Subject(s) - finite element method , jacobian matrix and determinant , stiffness matrix , degenerate energy levels , shell (structure) , mixed finite element method , stiffness , plane stress , composite number , structural engineering , deflection (physics) , mathematical analysis , mathematics , direct stiffness method , displacement (psychology) , geometry , materials science , engineering , composite material , physics , classical mechanics , algorithm , psychology , quantum mechanics , psychotherapist
A nine node finite element model has been developed for analysis of geometrically non‐linear laminated composite shells. The formulation is based on the degenerate solid shell concept and utilizes a set of assumed strain fields as well as assumed displacement Two different local orthogonal co‐ordinate systems were used to maintain invariance of the element stiffness matrix. The formulation assumes strain and the determinant of the Jacobian matrix to be linear in the thickness direction. This allows analytical integration in the thickness direction regardless of ply layups. The formulation also allows the reference plane to be different from the shell midsurface. The results of numerical tests demonstrate the validity and the effectiveness of the present approach.