Volume 5, Issue 8 (September 2008)

    Biaxial Loading Effect on Higher-Order Crack Tip Parameters

    (Received 29 January 2008; accepted 16 July 2008)

    Published Online: 2008

    CODEN: JAIOAD

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    Abstract

    The higher-order asymptotic crack-tip fields are considered for a Mode I in power-law plastic and creeping materials under plane strain conditions. Using an asymptotic expansion and separation of variables for the stress function, a series solution is obtained for stress components at a crack tip. In addition, full-field finite element analysis based on a modified layer approach is employed to model the effects of biaxial loading on nonlinear behavior. Loadings were applied related to a range of biaxial stress ratio (−2, +2). The radial and angular stress distributions and higher-order amplitude coefficients for plastic materials are obtained. Crack tip higher-order fields under various conditions of biaxial loading and spanning the range of times from small scale creep to extensive creep are presented. Account is taken of the radial distance accompanying crack tip blunting. The phenomenon of stress redistributions along crack plane on creep time as a function of biaxial stress ratio is stated. The regions of dominance of the HRR-type field under various biaxial stress ratio, crack distance, hardening exponent, and creep time are found. Good agreement analytical findings with finite element results conforms that HRR-solution corresponds only to the equi-biaxial tension which is a particular case of biaxial loading. It is further demonstrated that the higher-order both for plastic and creeping fields are controlled through constraint parameter A2 by biaxial stress ratio. By fitting numerical results for plastic and creeping materials, two empirical formulas were obtained to describe the higher-order terms amplitude coefficients A2 distributions depending on biaxial stress ratio, crack distance, hardening exponent, and creep time.


    Author Information:

    Shlyannikov, V. N.
    Research Center for Power Engineering Problems of the Russian Academy of Sciences, Lobachevsky Street, Kazan

    Ilchenko, B. V.
    Research Center for Power Engineering Problems of the Russian Academy of Sciences, Lobachevsky Street, Kazan

    Boychenko, N. V.
    Research Center for Power Engineering Problems of the Russian Academy of Sciences, Lobachevsky Street, Kazan


    Stock #: JAI101548

    ISSN: 1546-962X

    DOI: 10.1520/JAI101548

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    Author
    Title Biaxial Loading Effect on Higher-Order Crack Tip Parameters
    Symposium Presented at the ASTM Second Symposium on Fatigue and Fracture of Medical Metallic Materials and Devices, 2008-05-07
    Committee E08