Simplified Weight Function for Calculating Stress Intensity Factor in Complicated Stress Distributions

Authors

  • Jirapong Kasivitamnuay Chulalongkorn University

DOI:

https://doi.org/10.4186/ej.2016.20.2.49

Keywords:

Weight function, stress intensity factor, fracture mechanics.

Abstract

Calculation of a stress intensity factor becomes more difficult when crack are subjected to a complicated stress distribution profile. A standard procedure called influence coefficients is inadequate, because a stress profile may not be accurately represented by a polynomial function. This paper applies a piecewise linear approximation of stress profile and a weight function method to overcome that restriction. However, the typical adopted weight function, i.e. universal weight function, is replaced by a weight function, in which its form coincides with the analytical form. Although a new weight function consists of lesser number of terms, it is proved to be accurate when applies to a cracked-cylinder problem, e.g. internal part-through circumferential crack and internal fully circumferential crack under various complicated weld residual stress profiles. Using this simpler weight function and linearized approximation scheme led to a closed-form stress intensity factor solution, which is convenient for programming.

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Author Biography

Jirapong Kasivitamnuay

Department of Mechanical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand

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Published In
Vol 20 No 2, May 18, 2016
How to Cite
[1]
J. Kasivitamnuay, “Simplified Weight Function for Calculating Stress Intensity Factor in Complicated Stress Distributions”, Eng. J., vol. 20, no. 2, pp. 49-60, May 2016.