Cite this article as:
Шлянников В. Н., Туманов . В. Elastic Mode Mixity Parameters for Semi-Elliptical Crack under Biaxial Loading. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2010, vol. 10, iss. 2, pp. 73-80. DOI: https://doi.org/10.18500/1816-9791-2010-10-2-73-80
Elastic Mode Mixity Parameters for Semi-Elliptical Crack under Biaxial Loading
A method for solution and result of calculations for the elastic mode mixity parameters. The energy release rate is suggested for complex loading including modes I+II+III. The behavior of the edge inclined semi-circular and semi-elliptical surface cracks is considered under biaxial loading of arbitrary direction. The algorithm is based on application to the full elliptical crack solution of the correcting functions accounting for the crack front intersection of the plate free surface. Mixed mode conditions along the curvilinear crack front of surface defect are characterized.
1. He, M.Y. Surface crack subject to mixed mode loading / M.Y. He, J.W. Hutchinson // Engineering Fracture Mechanics. – 2000. – V. 65. – P. 1–14.
2. Zhao, J. The in-plane and out-of-plane stress constraint factors and K-T-Tz description of stress field near the border of a semi-elliptical surface crack / J. Zhao, W. Guo, C. She // Intern. J. of Fatigue. – 2007. – V. 29. –P. 435–443.
3. Kassir, M.K. Three-dimensional stress distribution around an elliptical crack under arbitrary loadings / M.K. Kassir, G.C. Sih // Intern. J. of the Engineering Sciences. – 1967. – V. 5. – P. 899–912.
4. Molla-Abbasi, K. On the full set elastic T-stress terms of internal elliptical cracks under mixed-mode loading condition / K. Molla-Abbasi, H. Schutte // Engineering Fracture Mechanics. – 2008. – V. 75. – P. 1545–1568.
5. Справочник по коэффициентам интенсивности напряжений / под ред. Ю. Мураками. – М.: Мир, 1990. – 1016 с.