Maximum Average Tangential Stress Criterion for Prediction of the Crack Path

The concept of the average stress has been employed to propose the maximum average tangential stress (MATS) criterion for predicting the direction of fracture angle. This criterion states that a crack grows when the maximum average tangential stress in the fracture process zone ahead of the crack tip reaches its critical value and the crack growth direction coincides with the direction of the maximum average tangential stress along a constant radius around the crack tip. The tangential stress is described by the singular and non-singular (T-stress) terms in the Williams series solution. The predicted directions of fracture angle are consistent with the experimental data for the mixed mode I/II crack growth behavior of Guiting limestone.

[1]  Amir Reza Shahani,et al.  Effect of T-stress on the fracture of a four point bend specimen , 2009 .

[2]  Arcady Dyskin,et al.  Crack growth criteria incorporating non-singular stresses: Size effect in apparent fracture toughness , 1997 .

[3]  Yu. G. Matvienko,et al.  Failure Assessment Diagrams in Structural Integrity Analysis , 2009 .

[4]  Soon Il Moon,et al.  Evaluation of static and dynamic fracture toughness using apparent fracture toughness of notched specimen , 2004 .

[5]  M. Williams,et al.  On the Stress Distribution at the Base of a Stationary Crack , 1956 .

[6]  M.R.M. Aliha,et al.  Geometry and size effects on fracture trajectory in a limestone rock under mixed mode loading , 2010 .

[7]  N. Hallbäck,et al.  T-stress evaluations of mixed mode I/II fracture specimens and T-effects on mixed mode failure of aluminium , 1996 .

[8]  Richard B. Hetnarski,et al.  Mechanics of elastic-plastic fracture , 1989 .

[9]  Y. J. Chao,et al.  Variation of fracture toughness with constraint , 2003 .

[10]  V. V. Novozhilov,et al.  On a necessary and sufficient criterion for brittle strength: PMM vol. 33, n≗2, 1969, pp. 212–222 , 1969 .

[11]  Y. Matvienko.  On the Cohesive Zone Model for a Finite Crack , 1999 .

[12]  Y. Matvienko.  DEVELOPMENT OF MODELS AND CRITERIA OF NOTCH FRACTURE MECHANICS RAZVOJ MODELA I KRITERIJUMA MEHANIKE LOMA ZAREZA , 2011 .

[13]  P. Fedeliński,et al.  Contour integrals for mixed-mode crack analysis: effect of nonsingular terms , 1997 .

[14]  Yu. G. Matvienko,et al.  Local fracture criterion to describe failure assessment diagrams for a body with a crack/notch , 2003 .