A Finite Element Procedure for Analysis of Laminated Composite Plates

Abstract

A variational formulation and finite-element implementation of the well-known discrete laminate theory of laminated composite plates is presented. To allow for varying properties of different layers with respect to the fixed reference frame used in the analysis, a linear variation of 'in-plane' displacements over each layer is assumed. The rate of variation can be different for each layer. The coupling between 'in-plane' and 'transverse' deformation is allowed for as is deformation due to shear. The mathematical model essentially assumes the laminated plate to be a stacking of Mindlin's orthotropic plates allowing for interfacial continuity of displacement. A finite element scheme implementing the foregoing concepts is described. Through the thickness, nodal points are used to reduce the problem to one of two-dimensional geometry. Three different interpolation schemes viz., the eight-point serendipity, the nine- point Lagrangian and the four-point Lagrangian are used in the isoparametric elements and their effectiveness is compared. The numerical procedure is verified against available solutions and then applied to analysis of stresses in a multi-ply free-edge delamination specimen. The procedure does not satisfy the traction-free edge condition and, therefore, the approach cannot be used to predict delamination and its growth.

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Document Details

Document Type
Technical Report
Publication Date
Jun 18, 1991
Accession Number
ADA250902

Entities

People

  • M. Moazzami
  • R. S. Sandhu
  • W. E. Wolfe

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Classification
  • Composite Materials
  • Computational Science
  • Computer Programs
  • Computers
  • Constitutive Equations
  • Continuity
  • Differential Equations
  • Displacement
  • Elastic Properties
  • Geometry
  • Laminates
  • Stress Strain Relations
  • Thickness
  • Transverse
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Health Monitoring of Composite Structures.