NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
A refined shear deformation theory for the analysis of laminated platesA refined, third-order plate theory that accounts for the transverse shear strains is presented, the Navier solutions are derived for certain simply supported cross-ply and antisymmetric angle-ply laminates, and finite-element models are developed for general laminates. The new theory does not require the shear correction factors of the first-order theory (i.e., the Reissner-Mindlin plate theory) because the transverse shear stresses are represented parabolically in the present theory. A mixed finite-element model that uses independent approximations of the generalized displacements and generalized moments, and a displacement model that uses only the generalized displacements as degrees of freedom are developed. The displacement model requires C sup 1-continuity of the transverse deflection across the inter-element boundaries, whereas the mixed model requires a C sup 0-element. Also, the mixed model does not require continuous approximations (between elements) of the bending moments. Numerical results are presented to show the accuracy of the present theory in predicting the transverse stresses. Numerical results are also presented for the nonlinear bending of plates, and the results compare well with the experimental results available in the literature.
Document ID
19860007138
Document Type
Contractor Report (CR)
Authors
Reddy, J. N. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Date Acquired
September 5, 2013
Publication Date
January 1, 1986
Subject Category
STRUCTURAL MECHANICS
Report/Patent Number
NASA-CR-3955
NAS 1.26:3955
AR-1
VPI-E-85.26
Funding Number(s)
PROJECT: RTOP 505-90-28-31
CONTRACT_GRANT: NAG1-459
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

Available Downloads

NameType 19860007138.pdf STI