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An approximate semi-analytical method for prediction of interlaminar shear stresses in an arbitrarily laminated thick plateAn approximate semianalytical method for determination of interlaminar shear stress distribution through the thickness of an arbitrarily laminated thick plate has been presented. The method is based on the assumptions of transverse inextensibility and layerwise constant shear angle theory (LCST) and utilizes an assumed quadratic displacement potential energy based finite element method (FEM). Centroid of the triangular surface has been proved from a rigorous mathematical point of view (Aubin-Nitsche theory), to be the point of exceptional accuracy for the interlaminar shear stresses. Numerical results indicate close agreement with the available three-dimensional elasticity theory solutions. A comparison between the present theory and that due to an assumed stress hybrid FEM suggest that the (normal) traction-free-edge condition is not satisfied in the latter approach. Furthermore, the present paper is the first to present the results for interlaminar shear stresses in a two-layer thick square plate of balanced unsymmetric angle-ply construction. A comparison with the recently proposed Equilibrium Method (EM) indicates the superiority of the present method, because the latter assures faster convergence as well as simultaneous vanishing of the transverse shear stresses on both of the exposed surfaces of the laminate. Superiority of the present method over the EM, in the case of a symmetric laminate, is limited to faster convergence alone. It has also been demonstrated that the combination of the present method and the reduced (quadratic order) numerical integration scheme yields convergence of the interlaminar shear stresses almost as rapidly as that of the nodal displacements, in the case of a thin plate.
Document ID
19870051660
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Chaudhuri, Reaz A.
(Utah, University Salt Lake City, United States)
Seide, Paul
(Southern California, University Los Angeles, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1987
Publication Information
Publication: Computers and Structures
Volume: 25
Issue: 4 19
ISSN: 0045-7949
Subject Category
Structural Mechanics
Accession Number
87A38934
Funding Number(s)
CONTRACT_GRANT: NSG-1401
Distribution Limits
Public
Copyright
Other

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