Archivio Istituzionale della RicercaIn this paper, a closed-form analytical solution is presented for SH wave propagation in density radial inhomogeneous wedge space. The material parameter of this inhomo- geneous wedge space with arbitrary vertex angle is given in functional form. Based on complex function method, an appropriate mapping function is introduced to transform the governing Helmholtz equation with variable coefficients into a standard one. The wave field expression satisfying zero-stress boundary condition in wedge space is derived. Finally, numerical examples are presented to analysis the influence of different parameters on displacement amplitudes
Shear horizontal wave propagation in inhomogeneous wedge space / Li, Xinzhu; Yang, Zailin; Yang, Yong; Song, Yunqiu; Deng, Hongyu. - In: WAVE MOTION. - ISSN 0165-2125. - 114:(2022), p. 103009. [10.1016/j.wavemoti.2022.103009]
Shear horizontal wave propagation in inhomogeneous wedge space
Xinzhu,Li;Yunqiu, Song;
2022
Abstract
In this paper, a closed-form analytical solution is presented for SH wave propagation in density radial inhomogeneous wedge space. The material parameter of this inhomo- geneous wedge space with arbitrary vertex angle is given in functional form. Based on complex function method, an appropriate mapping function is introduced to transform the governing Helmholtz equation with variable coefficients into a standard one. The wave field expression satisfying zero-stress boundary condition in wedge space is derived. Finally, numerical examples are presented to analysis the influence of different parameters on displacement amplitudes
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https://hdl.handle.net/11583/2977614