Abstract
Following Barenblatt's idea about the modeling of cracks by the use of a cohesive zone has attracted considerable attention. Recently, this model has also been applied to the prediction of ductile crack growth. For this case the present investigation aims to compare the predictions of a cohesive zone model with the predictions of the more physically based modified Gurson relation. The results demonstrate that in case of ductile fracture the parameters cohesive strength and energy may only be regarded as material properties within a small range of stress triaxialities. This finally leads to the conclusion that special care has to be taken if a cohesive zone model is used for the analysis of ductile fracture. The use of the modified Gurson relation predicts that the cohesive energy and strength do not remain constant throughout a crack growth analysis and their change is not known a priori. Improved cohesive zone models that take a coupling to the surrounding material into account may overcome this problem.
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Siegmund, T., Brocks, W. Prediction of the Work of Separation and Implications to Modeling. International Journal of Fracture 99, 97–116 (1999). https://doi.org/10.1023/A:1018300226682
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DOI: https://doi.org/10.1023/A:1018300226682