#### For citation:

Shlyannikov V. N., Kislova S. Y. Mode Mixity Parameters for Mathematical Crack Type. *Izvestiya of Saratov University. Mathematics. Mechanics. Informatics*, 2009, vol. 9, iss. 1, pp. 77-84. DOI: 10.18500/1816-9791-2009-9-1-77-84

# Mode Mixity Parameters for Mathematical Crack Type

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,ontheelastic-plasticstressintensityfactors is stated.

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