Strain Energy Release Rate Determination of Stress Intensity Factors by Finite Element Methods.

Abstract

The determination of the Mode I stress intensity factors for selected crack configurations, using finite element methods and energy release rate principles, is the subject of this study. The crack configurations which were investigated were the double edge crack, the single edge crack, and the center crack. The method of analysis utilized was the Stiffness Derivative Method (7). This approach relates the change in strain energy resulting from crack advancement, to the change in the stiffness matrix of the structure containing the crack. The results indicated that through mesh optimization and proper control of certain parameters including the crack advance increment, the crack tip element contour size, and mesh refinement, an accurate solution can be calculated with a relatively coarse finite element mesh consisting entirely of contemporary elements. The numerically generated solutions are compared with analytical solutions with the results within 0.001 percent of each other for the double edge crack, 0.858 percent for the single edge crack, and 2.021 percent for the center crack.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA303087

Entities

People

  • Richard M. Walsh Jr

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Aspect Ratio
  • Boundaries
  • Composite Materials
  • Computer Programs
  • Computers
  • Design Criteria
  • Equations
  • Finite Element Analysis
  • Geometry
  • Laminates
  • Materials Processing
  • Modulus Of Elasticity
  • Potential Energy
  • Standards
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Computational Fluid Dynamics (CFD)
  • Computational Modeling and Simulation
  • Materials Science (Mechanical Engineering).