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On Calculating Thermally Induced Stress Singularities

  • Morris Stern

Abstract

A problem of increasing interest and importance is the numerical calculation of stress intensity factors for cracked or otherwise imperfect structures due to thermal as well as mechanical loading. The finite element method has become one of the most popular and effective computational approaches to stress analysis, and a large number of fairly successful schemes have been introduced to treat the stress singularities of interest in fracture mechanics as outlined in [1]. One of the simplest yet most effective methods for treating such problems is the introduction of special “singular elements” to model the fields in the immediate neighborhood of the exceptional point without requiring an overly refined (and expensive) mesh.

Keywords

Stress Intensity Factor Finite Element Solution Element Grid Exceptional Point Singular Element 
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References

  1. 1.
    R.H. Gallagher, A Review of Finite Element Techniques in Fracture Mechanics, in: “Proceedings of the First International Conference on Numerical Methods in Fracture Mechanics,” Swanwea (1978).Google Scholar
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    P.C. Paris and G.C. Sih, Stress Analysis of Cracks in: “Fracture Toughness Testing and its Application,” ASTM STP 381 (1965).Google Scholar
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    M. Stern, The Numerical Calculation of Thermally Induced Stress Intensity Factors, J. Elast., 9: 91 (1979).zbMATHCrossRefGoogle Scholar
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Morris Stern
    • 1
  1. 1.Department of Aerospace Engineering and Engineering MechanicsThe University of Texas at AustinAustinUSA

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