Computation of the Amplitude of Stress Singular Terms for Cracks and Reentrant Corners.

Abstract

The theoretical basis and performance characteristics of two new methods for the computation of the coefficients of the terms of asymptotic expansions at reentrant corners from finite element solutions are presented. The methods, called the contour integral method and the cutoff function method, are very efficient: The coefficients converge to their true values as fast as the strain energy, or faster. In order to make the presentation as simple as possible, we assume that the elastic body is homogeneous and isotropic, is loaded by boundary tractions only and, in the neighborhood of the reentrant corner, its boundaries are stress free. The methods described herein can be adapted to cases without such restrictions. Keywords: Finite element methods, P-extension, Fracture mechanics, Elasticity, Stress intensity factors, Mixed mode, Extraction methods, Convergence, Error estimate.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1986
Accession Number
ADA169796

Entities

People

  • Barna A. Szabo
  • Ivo Babuška

Organizations

  • University of Washington

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Composite Materials
  • Computations
  • Computer Programs
  • Contour Integrals
  • Elastic Properties
  • Equations
  • Finite Element Analysis
  • Fracture (Mechanics)
  • Integrals
  • Intensity
  • Laminates
  • Materials
  • Mechanics
  • Numerical Analysis
  • Stress Intensity Factors
  • Stresses

Readers

  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).