Ernst et al proposed a method to calculate the deformation theory J, JD which takes into account the influence of crack growth on J. Furthermore, Ernst introduced a modified version of the J-integral, JM, to allow a large relaxation of restrictions on the amount of crack extension and specimen configuration. In this work, simple formulas for the deformation theory J-integral and the modified J-integral are developed. The methods are applied to the static JIC test and the instrumented Charpy test. The accuracy of the methods in the determination of the J-R curves is discussed, emphasizing the difference between J-R curves for JD and JM.
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