Abstract
Dynamic stress concentration factor around a cylindrical cavity which is in vertically inhomogeneous half space is investigated by applying complex function method and multi-polar coordinates system. The mass density of the half space is inhomogeneous while the shear modulus is a constant. Utilizing conformal map** method, the governing equation with variable coefficients is transformed to be a normalized Helmholtz equation. Then, incident wave, reflected wave and scattering wave in the half space are obtained. With the help of the boundary condition at the cylindrical cavity, the undetermined coefficients in scattering wave are solved. Then, dynamic stress concentration factor with different influencing parameters around the cavity is calculated and discussed.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant No. 11872156), National Key Research and Development Program of China (Grant No. 2017YFC1500801) and the program for Innovative Research Team in China Earthquake Administration.
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Jiang, G., Yang, Z., Sun, C. et al. Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave. Meccanica 54, 2411–2420 (2019). https://doi.org/10.1007/s11012-019-01076-2
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DOI: https://doi.org/10.1007/s11012-019-01076-2