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Journal of Applied Mechanics and Technical Physics

2017 year, number 3

T-Stress Estimation by the Two-Parameter Approach for a Specimen with a V-Shaped Notch

O. Bouledroua1, A. Elazzizi1,2, M. Hadj. Meliani1,3, G. Pluvinage3, Y. G. Matvienko4
1Hassiba BenBouali University of Chlef, Esalem City, Chlef, 02000, Algeria
2Mohamed Boudiaf University of Sciences and Technology, Oran, 31000, Algeria
3Universitе Paul Verlaine de Metz, France
4Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, 101990. Russia
Keywords: стесненная деформация, T-напряжения, эффективное расстояние, надрез, метод конечных элементов, constraint, T-stress, effective distance, notch, finite element analysis


In the present research, T-stress solutions are provided for a V-shaped notch in the case of surface defects in a pressurised pipeline. The V-shaped notch is analyzed with the use of the finite element method by the Castem2000 commercial software to determine the stress distribution ahead of the notch tip. The notch aspect ratio is varied. In contrast to a crack, it is found that the T-stress is not constant and depends on the distance from the notch tip. To estimate the T-stress in the case of a notch, a novel method is developed, inspired by the volumetric method approach proposed by Pluvinage. The method is based on averaging the T-stress over the effective distance ahead of the notch tip. The effective distance is determined by the point with the minimum stress gradient in the fracture process zone. This approach is successfully used to quantify the constraints of the notch-tip fields for various geometries and loading conditions. Moreover, the proposed T-stress estimation creates a basis for analyzing the crack path under mixed-mode loading from the viewpoint of the two-parameter fracture mechanics.