Basic solution of two collinear mode-I cracks in the orthotropic medium by use of the non-local theory
Multidiscipline Modeling in Materials and Structures
Article publication date: 12 June 2017
The purpose of this paper is to present the basic solution of two collinear mode-I cracks in the orthotropic medium by the use of the non-local theory.
Meanwhile, the generalized Almansi’s theorem and the Schmidt method are used. By the Fourier transform, it is converted to a pair of dual integral equations.
Numerical examples are provided to show the effects of the crack length, the distance between the two collinear cracks and the lattice parameter on the stress field near the crack tips in the orthotropic medium.
The present solution exhibits no stress singularity at the crack tips in the orthotropic medium.
This work was supported by Hebei Higher School of Young Talents Program (BJ2016014), Project Funded by China Postdoctoral Science Foundation (2016M601242) and Hebei Excellent Youth Science Fund (A2017202107).
Liu, H. (2017), "Basic solution of two collinear mode-I cracks in the orthotropic medium by use of the non-local theory", Multidiscipline Modeling in Materials and Structures, Vol. 13 No. 1, pp. 100-115. https://doi.org/10.1108/MMMS-05-2016-0020
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