Abstract
Based on the complex function method and a multipolar coordinate system, scattering of shear waves by a cylindrical inclusion in an anisotropic (orthotropic) half space is studied. In order to find the solution of shear waves, the governing equation is transferred into its normalized form. Then, the scattering wave in the half space and the standing wave in the inclusion are deduced. Different incident wave angles and anisotropies are considered to obtain the reflected wave. Then, the unknown coefficients in scattering wave and standing wave are found by utilizing the continuous condition at the boundary of the inclusion. Subsequently, the dynamic stress concentration factor (DSCF) around the inclusion is calculated and analyzed. The results demonstrate that the distribution of the DSCF is influenced by the anisotropy of the half space, and the value of the DSCF is mainly affected by the wave numbers ratio and the shear modulus ratio.
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Acknowledgements
This work was supported by the Scientific Research Fund of Institute of Engineering Mechanics, China Earthquake Administration (Grant No. 2017QJGJ06), the National Science and Technology Pillar Program (Grant No. 2015BAK17B06), the Earthquake Industry Special Science Research Foundation Project (Grant No. 201508026-02), the Fundamental Research Funds for the Central Universities (Grant No. HEUCF170202), and the Program for Innovative Research Team in China Earthquake Administration.
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Yang, Zl., Jiang, Gxx., Sun, Bt. et al. Scattering of shear waves by a cylindrical inclusion in an anisotropic half space. Acta Mech 228, 4039–4053 (2017). https://doi.org/10.1007/s00707-017-1941-1
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DOI: https://doi.org/10.1007/s00707-017-1941-1