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Through‐the‐thickness stress predictions for laminated plates of advanced composite materials
Author(s) -
Engblom John J.,
Ochoa Ozden O.
Publication year - 1985
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.1620211003
Subject(s) - transverse plane , finite element method , displacement field , transverse shear , displacement (psychology) , materials science , structural engineering , stress (linguistics) , shell (structure) , composite number , eigenvalues and eigenvectors , stiffness , shear (geology) , mechanics , geometry , mathematics , engineering , composite material , physics , psychology , linguistics , philosophy , quantum mechanics , psychotherapist
A finite element formulation is developed with emphasis primarily focused on providing stress predictions for thin to moderately thick plate (shell) type structures. Plate element behaviour is specified by prescribing independently the neutral surface displacements and rotations, thus relaxing the Kirchhoff hypothesis. Numerical efficiency is achieved due to the simplicity of the element formulation, i.e. the approach yields a displacement dependent multi‐layer model. In‐plane layer stresses are determined via the constitutive equations, while the transverse shear and short‐transverse normal stresses are determined via the equilibrium equations. Accurate transverse stress variations are obtained by appropriately selecting the displacement field for the element. A selective reduced integration technique is utilized in computing element stiffness matrices. Static and spectral (eigenvalue) tests are performed to demonstrate the element modelling capability.