A Refined Shear Deformation Theory for Laminated Anisotropic Plates,

Abstract

An improved plate theory that accounts for the transverse shear deformation is presented. The theory is based on an assumed displacement field in which the inplane displacements are expanded in terms of the thickness coordinate up to the cubic term and the transverse deflection is assumed to be independent of the thickness coordinate. The governing differential equations of the theory are derived from the virtual work principle. The theory eliminates the need for shear correction factors because the transverse shear stresses are represented parabolically. A comparison of the present numerical results for bending with the exact solutions of the three-dimensional elasticity theory shows that the present theory is more accurate than the first order shear deformation theory.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADP004926

Entities

People

  • Junuthula N. Reddy

Organizations

  • Virginia Tech

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Deflection
  • Differential Equations
  • Displacement
  • Elastic Properties
  • Equations
  • Formulas (Mathematics)
  • Geometry
  • Mathematics
  • Mechanical Properties
  • Modulus Of Elasticity
  • Physical Properties
  • Shear Stresses
  • Thickness
  • Three Dimensional
  • Transverse

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.