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Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory

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Abstract

The dynamic behavior of a rectangular crack in a three-dimensional (3D) orthotropic elastic medium is investigated under a harmonic stress wave based on the non-local theory. The two-dimensional (2D) Fourier transform is applied, and the mixed-boundary value problems are converted into three pairs of dual integral equations with the unknown variables being the displacement jumps across the crack surfaces. The effects of the geometric shape of the rectangular crack, the circular frequency of the incident waves, and the lattice parameter of the orthotropic elastic medium on the dynamic stress field near the crack edges are analyzed. The present solution exhibits no stress singularity at the rectangular crack edges, and the dynamic stress field near the rectangular crack edges is finite.

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Authors and Affiliations

  1. School of Mechanical Engineering, Hebei University of Technology, Tianjin, 300130, China

    Haitao Liu

  2. Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin, 150080, China

    Zhengong Zhou

Authors
  1. Haitao Liu
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  2. Zhengong Zhou
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Correspondence to Haitao Liu.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11272105 and 11572101)

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Liu, H., Zhou, Z. Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory. Appl. Math. Mech.-Engl. Ed. 38, 173–190 (2017). https://doi.org/10.1007/s10483-017-2161-9

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  • DOI: https://doi.org/10.1007/s10483-017-2161-9

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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