Geodesic
Mode mixity parameters for mathematical crack type
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 1, pp. 77-84.

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A method for calculating the elastic-plastic stress intensity factors for full range of mixed mode loading from tensile to shear crack is suggested. The state of arbitrary oriented straight-line crack in form of mathematical notch under biaxial loading is considered. The solution is based on a combination of both the compatibility strain equation and the Airy stress function with its derivatives. The elastic-plastic material behavior is represented by the Ramberg–Osgood model. On the base of obtaining results the influence of both mode mixity and material plastic properties, describing by strain hardening exponent, on the elastic-plastic stress intensity factors is stated. 
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V. N. Shlyannikov; S. Yu. Kislova. Mode mixity parameters for mathematical crack type. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 1, pp. 77-84. http://geodesic.mathdoc.fr/item/ISU_2009_9_1_a9/

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