Analytical Investigation of Stress Concentrations Due to Holes in Fiber Reinforced Plastic Laminated Plates, Two-Dimensional Models.

Abstract

An equilibrium finite element analysis to obtain stress distributions for anisotropic plates containing a hole is presented. Equilibrium is satisfied exactly by associating a stress function with each element. Stress function representations are such that the number of unknown coefficients per element can vary from element to element. Also the powers of the radial coordinate r in the stress function representation can be distinct for each element. The results of an investigation to determine which powers of r are most appropriate are presented. Solutions to several problems containing high stress gradients are obtained using the method. Numerical results compare very well with reference solutions. Elastic constants for other problems are selected to represent a single boron/epoxy lamina and also various symmetric boron/epoxy lay-ups. An extension of the method to the three-dimensional problem of a laminate containing a hole is described. (Author-PL)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0775732

Entities

People

  • Allen T. Hopper
  • Edmund F. Rybicki

Organizations

  • Battelle Memorial Institute

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Finite Element Analysis
  • Geometry
  • Laminates
  • Mathematics
  • Physical Properties
  • Sizes (Dimensions)
  • Stress Concentration
  • Stresses
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Reinforced Composite Materials