A Refined Shear Deformation Theory for the Analysis of Laminated Plates.
Abstract
A refined, third-order plate theory that accounts for the transverse shear deformation is presented, the Navier solutions are derived, and its finite element models are developed. The theory does not require the shear correction factors of the first-order shear deformation theory because the transverse shear stresses are represented parabolically in the present theory. A mixed finite element model that uses independent approximations of the displacements and moment resultants, and a displacement model that uses only displacements as degrees of freedom are developed. The mixed model uses C(0) elements for all variables and the displacement models use C(1) elements for the transverse deflection and C(0) elements for other displacements. Numerical results are presented to show the thickness effect on the deflections, and the accuracy of the present theory in predicting the transverse stresses. A comparison of the results obtained using the finite element models of the present theory with the experimental and the three-dimensional elasticity theory shows that the present theory is more accurate than the first-order shear deformation plate theory. (MM)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1986
- Accession Number
- ADA301799
Entities
People
- Junuthula N. Reddy
Organizations
- Virginia Tech