Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer
In this work, analytical solutions to the single scattering of horizontally polarized shear waves (SH) by cylindrical fibers with two specific radially gradient interphase layers are presented. In the first case, the shear modulus μr=e2βr and the square of wave number k2 is a linear function of 1/r;...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/6978305 |
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| _version_ | 1832565612996460544 |
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| author | Jiading Bao Jun Zhang Longhai Zeng |
| author_facet | Jiading Bao Jun Zhang Longhai Zeng |
| author_sort | Jiading Bao |
| collection | DOAJ |
| description | In this work, analytical solutions to the single scattering of horizontally polarized shear waves (SH) by cylindrical fibers with two specific radially gradient interphase layers are presented. In the first case, the shear modulus μr=e2βr and the square of wave number k2 is a linear function of 1/r; in the second case μr=e−βr2 and k2 is a linear function of r2. As an example, we solve the single scattering of SH waves by a SiC fiber with the two interphase layers in an aluminum matrix. The calculated scattering cross sections are compared to values obtained by an approximate method (dividing the continuous varying layer into multiple homogeneous sublayers). The results indicate the current approach gives excellent performance. |
| format | Article |
| id | doaj-art-dbb5f80fbcaf45bc869dd13ef99b30f4 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-dbb5f80fbcaf45bc869dd13ef99b30f42025-02-03T01:07:09ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/69783056978305Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase LayerJiading Bao0Jun Zhang1Longhai Zeng2School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, ChinaCollege of Aerospace Engineering, Chongqing University, Chongqing 400044, ChinaCollege of Aerospace Engineering, Chongqing University, Chongqing 400044, ChinaIn this work, analytical solutions to the single scattering of horizontally polarized shear waves (SH) by cylindrical fibers with two specific radially gradient interphase layers are presented. In the first case, the shear modulus μr=e2βr and the square of wave number k2 is a linear function of 1/r; in the second case μr=e−βr2 and k2 is a linear function of r2. As an example, we solve the single scattering of SH waves by a SiC fiber with the two interphase layers in an aluminum matrix. The calculated scattering cross sections are compared to values obtained by an approximate method (dividing the continuous varying layer into multiple homogeneous sublayers). The results indicate the current approach gives excellent performance.http://dx.doi.org/10.1155/2019/6978305 |
| spellingShingle | Jiading Bao Jun Zhang Longhai Zeng Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer Shock and Vibration |
| title | Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer |
| title_full | Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer |
| title_fullStr | Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer |
| title_full_unstemmed | Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer |
| title_short | Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer |
| title_sort | explicit solutions to single scattering of sh waves with a radially gradient interphase layer |
| url | http://dx.doi.org/10.1155/2019/6978305 |
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