Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


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

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
18.03.2009
Full text:
(downloads: 68)
Language: 
Russian
Heading: 
UDC: 
539.4

Mode Mixity Parameters for Mathematical Crack Type

Autors: 
Shlyannikov Valerij Nikolaevich, Research Center for Power Engineering Problems Russian Academy of Sciences, Russia
Kislova Svetlana Yurevna, Research Center for Power Engineering Problems Russian Academy of Sciences, Russia
Abstract: 

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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