An Evaluation of Several Moving Singularity Finite Element Models for Fast Fracture Analysis.

Abstract

Comparison of the propagation-eigen-function element, the stationary-eigen-function element, and the quarter-point isoparametric element in terms of accuracy and efficiency leads to several conclusions. The two eigen-function elements showed similar accuracy at all crack speeds up to 0.6Cs while the isoparametric element model started showing significant differences between 0.2Cs and 0.4Cs. While the quarter-point isoparametric elements were the least expensive to use (approx. 2/3 the cost of the stationary-eigen-function element and approx. 1/2 that of the propagation-eigen-function element) their sensitivity to crack speed and the need to use indirect methods to obtain K sub I reduce their initial attractiveness. Another conclusion to be drawn from the comparison of the models is that the stationary-eigen-function element has all the attractive features of the propagation eigen-function element without the disadvantage of non-symmetric stiffness matrices. Also, because the matrices are not crack speed dependent, they do not need to be recomputed each time crack speed changes.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1981
Accession Number
ADA103075

Entities

People

  • R. B. Stonesifer
  • S. N. Atluri
  • T. Nishioka

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Cantilever Beams
  • Civil Engineering
  • Computational Science
  • Crack Propagation
  • Crack Tips
  • Drug Abuse
  • Engineering
  • Equations
  • Fast Fractures
  • Ions
  • J Integrals
  • Mechanics
  • Steady State
  • Stress Intensity Factors
  • Transient Response Analysis
  • Two Dimensional

Readers

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