Issue 33

J. Fan et alii, Frattura ed Integrità Strutturale, 33 (2015) 463-470; DOI: 10.3221/IGF-ESIS.33.51 470 displacement and its partial derivative, respectively, computed by the present expression and the exact solution are confirmed to be in good agreement if the values of a / b ≤0.8. The calculation of the weight function for center cracks in mode I loading conditions is reduced to the simple quadrature of the correction function and of the partial derivative of the crack face displacement. It is concluded that the limiting value of the stress intensity factor in an infinite plate might introduce significant error into the weight function and stress intensity factor evaluation. Figure 3 : Comparisons of collinear cracks and center crack (a) weight function variation; (b) SIF variation. R EFERENCES [1] Tada, H., Paris, P., Irwin, G., The analysis of cracks handbook, ASME Press, New York, (2000). [2] Rice, J., Some remarks on elastic crack-tip stress fields, Int J Solids Struct., 8 (1972) 751-758. [3] Wu, X., Carlsson, J., The generalised weight function method for crack problems with mixed boundary conditions, J Mech Physics Solids., 31(1983) 485-497. [4] Shen, G., Glinka, G., Determination of weight functions from reference stress intensity factors, Theo Appl Fract Mech. 15(1991) 237-245. [5] He, Z., Kotousov, A., Branco, R., A simplified method for the evaluation of fatigue crack front shape under mode I loading, Int J Fract., 188 (2014) 203-211.

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