An extended maximum tangential strain energy density criterion considering T-stress for combined mode I-III brittle fracture

The maximum tangential strain energy density (MTSED) criterion was modified by taking the influences of stress intensity factors and T-stress into consideration for combined mode I-III brittle fracture. Furthermore, the Poisson's ratio and T-stress influencing the fracture characteristics of cracked components were discussed by using the extended MTSED criterion. Moreover, the predicted values of this extended MTSED criterion and some testing results were comparatively analysed. The results indicate that the Poisson's ratio and T-stress have no impact on the out-of-plane initiation angle; however, their effects on fracture resistance ratios are significant especially for pure mode III. A positive T-stress increases the fracture resistance ratio, and it is opposite for a negative T-stress. The predicted values calculated by the extended MTSED criterion agree very well with the testing data obtained with edge-notched disc bend samples especially for pure mode III case.

Automated summary

This study modified the MTSED criterion to consider stress intensity factors and T-stress for combined mode I-III brittle fracture. The influence of Poisson's ratio and T-stress on fracture characteristics of cracked components was discussed, showing significant effects on fracture resistance ratios, especially for pure mode III. Positive T-stress increases fracture resistance ratio while negative T-stress has the opposite effect. Predicted values by the extended MTSED criterion agree well with testing data, particularly for pure mode III cases.