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Analytical solutions to single scattering of SH waves by a cylindrical fiber with radially gradient interphases

Submit Time: 2017-08-08
Author: 章俊 重庆大学航空航天学院 ; 刘炼 重庆大学航空航天学院 ; 曾龙海 重庆大学航空航天学院 ; 鲍家定 桂林电子科技大学 ;
Institute: 1.重庆大学航空航天学院; 2.非均质材料力学重庆市重点实验室 ; 3.桂林电子科技大学电子与机械工程学院;

Abstracts

In this work, analytical solutions to the single scattering of SH waves by a cylindrical fiber with two specific radially gradient interphase layers are supported based on the method proposed by P.A. Martin (Martin 2002, JASA). In the first case, 1) shear modulus μ(r)=e^2βrand the square of wave number, k^2 , is a linear function of 1/r, and 2) μ(r)=e^(-βr^2 ) and k^2 is a linear function of r^2. For example, analytical solutions to single scattering of SH waves by a Sic fiber with the above two interphase layers embedded in aluminum are presented. The calculated scattering cross sections are compared with values obtained from an approximate method (dividing the continuous varying layer into multiple homogeneous sub-layers). The two methods yield similar results. The contribution of this work benefits the validation of various numerical methods used in the inhomogeneous media.
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From: 章俊
DOI:10.12074/201708.00174
Recommended references: 章俊,刘炼,曾龙海,鲍家定.(2017).Analytical solutions to single scattering of SH waves by a cylindrical fiber with radially gradient interphases.[ChinaXiv:201708.00174] (Click&Copy)
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[V1] 2017-08-08 12:20:14 chinaXiv:201708.00174V1 Download
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