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 mapping 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.

Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave / Jiang, Guanxixi; Yang, Zailin; Sun, Cheng; Li, Xinzhu; Yang, Yong. - In: MECCANICA. - ISSN 1572-9648. - 54:(2019), pp. 2411-2420. [10.1007/s11012-019-01076-2]

Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave

Xinzhu, Li;
2019

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 mapping 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.
2019
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2977689