Quadratic and Cubic Transition Elements

Abstract

Based on the investigation of Barsoum, Henshell and Shaw, quarterpoint quadratic elements have been successfully used as crack tip elements in fracture mechanics. This concept of singular element was extended to cubic isoparametric elements. Recently it was discovered by Lynn and Ingraffea that under special configuration, transitional elements improve the accuracy of stress intensity factor computations. In this report, we have obtained the location of mid-side nodes of these transitional elements for the quadratic as well as cubic elements. The cubic transitional elements were used for the double-edge crack problem, and it was found that there was improvement in accuracy for a configuration which consisted only of singular and transitional elements. However, for a well laid out grid, the improvement was only marginal.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1980
Accession Number
ADA093482

Entities

People

  • J. D. Vasilakis
  • M. A. Hussain
  • S. L. Pu

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Classification
  • Computations
  • Crack Tips
  • Cracks
  • Elements
  • Fracture (Mechanics)
  • Intensity
  • Mechanical Properties
  • Mechanics
  • Numbers
  • Square Roots
  • Stress Concentration
  • Stress Intensity Factors
  • Stresses
  • Transition Metals
  • Transitions

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Materials Science (Mechanical Engineering).