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The effect of non‐linear curvature strains on the buckling of laminated plates and shells
Author(s) -
Dennis S. T.,
Palazotto A. N.
Publication year - 1993
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.1620360404
Subject(s) - buckling , curvature , shell (structure) , materials science , transverse plane , displacement (psychology) , finite element method , axial symmetry , shear (geology) , radius of curvature , mechanics , bending , bifurcation , structural engineering , composite material , geometry , nonlinear system , mathematics , physics , engineering , mean curvature , mean curvature flow , quantum mechanics , psychotherapist , psychology
A versatile geometrically non‐linear curved shell finite element formulation includes exact Green's strain displacement for the inplane strains and linear strain displacement for the transverse shear strains. Additional coupling results for membrane‐bending and membrane‐transverse shear due to non‐linear curvature strain‐displacement relations. Additional non‐linear terms that are a function of the shell's radius of curvature are also present. The approach is applied to the bifurcation buckling of axially compressed flat plates and transversely pressure‐loaded cylindrical shell panels. The method gives a more flexible result for the plates compared to von Karman non‐linearity. Additionally, larger buckling pressures are found for shell panels. The effects of transverse shear flexibility are evident.