Conditions for mode I crack deviation in orthotropic plane subjected to biaxial loading.

*(English)*Zbl 1423.74823Summary: A problem of a Mode I crack deviation is considered. It is assumed that a crack is located initially on a symmetry axis of an orthotropic plane and subjected to biaxial loading. A crack is modeled as a thin elliptical hole. The maximal tensile stresses are taken as a crack growth criterion. To stress the role of elastic anisotropy for a crack rotation, the strength properties of the material are assumed to be isotropic. Conditions for a crack deviation and stability of a straight crack path are obtained. The obtained results generalize previous results of the authors, where an analogical problem was considered for the case of uniaxial tension. Presented results are compared with the results following from the traditional model of the crack, considering a crack as an ideal cut.

##### MSC:

74R10 | Brittle fracture |

74E10 | Anisotropy in solid mechanics |

74G10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics |

##### Keywords:

crack deviation; stability of a straight crack path; elastic anisotropy; orthotropy; biaxial loading
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\textit{R. V. Goldstein} and \textit{E. I. Shifrin}, Int. J. Eng. Sci. 61, 36--47 (2012; Zbl 1423.74823)

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##### References:

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