Variational Formulation and Finite Element Implementation of Pagano's Theory of Laminated Plates

Abstract

Pagano's theory of laminated plates is restated in the form of a set of self-adjoint differential equations. Identifying consistent boundary operators, general variational principle is stated following standard procedures for linear coupled self adjoint systems of equations. Extensions to relax requirements of differentiability of various field variables are indicated along with specializations to reduce the number of free field variables. One specialization is implemented in a finite element computer program and used to solve several example problems of free-edge delamination specimens. Composite Laminates, Laminated Plates, Finite Element Methods, Variational Methods.

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Document Details

Document Type
Technical Report
Publication Date
Jul 12, 1991
Accession Number
ADA250592

Entities

People

  • Hui-huang Chyou
  • R. S. Sandh
  • William E. Wolfe

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Boundary Value Problems
  • Civil Engineering
  • Composite Materials
  • Computer Programs
  • Constitutive Equations
  • Coordinate Systems
  • Delamination
  • Differential Equations
  • Elastic Properties
  • Finite Element Analysis
  • Laminates
  • Materials
  • Modulus Of Elasticity
  • Three Dimensional
  • Two Dimensional
  • Variational Principles

Readers

  • Calculus or Mathematical Analysis
  • Structural Health Monitoring of Composite Structures.