Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium
This work uses peridynamic theory to obtain the internal force density of a shear horizontal (SH) wave, which is only connected with shear modulus. We then established the reflection equation of a SH wave in peridynamic medium based on the force boundary condition of the SH wave at the virtual bound...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/4139547 |
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| _version_ | 1850158266951139328 |
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| author | Xiaolong Zhang Yaru Lu Liyu Chen Zhenying Xu |
| author_facet | Xiaolong Zhang Yaru Lu Liyu Chen Zhenying Xu |
| author_sort | Xiaolong Zhang |
| collection | DOAJ |
| description | This work uses peridynamic theory to obtain the internal force density of a shear horizontal (SH) wave, which is only connected with shear modulus. We then established the reflection equation of a SH wave in peridynamic medium based on the force boundary condition of the SH wave at the virtual boundary layer. The SH wave reflection characteristic in peridynamic medium is similar to the results of traditional theory, which was verified by simulations and experiments in steel plates. The refraction characteristics of a SH wave in peridynamic medium were obtained based on the continuity of the force and the displacement at the refraction point. These features established the relationship between bonds and wave angle. The refraction and reflection characteristics of a SH wave in a peridynamic medium were also verified by numerical simulations and experiments in a welded structure. |
| format | Article |
| id | doaj-art-6b1ae87f2bd8471bb35b08fedfbb8af6 |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-6b1ae87f2bd8471bb35b08fedfbb8af62025-08-20T02:23:56ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/41395474139547Reflection and Refraction of Shear Horizontal Waves in Peridynamic MediumXiaolong Zhang0Yaru Lu1Liyu Chen2Zhenying Xu3School of Mechanical Engineering, Jiangsu University, Zhenjiang 212013, ChinaDepartment of Life Science, Tangshan Normal University, Tangshan 063000, ChinaCollege of Mathematics and Computer Science, Tangshan Normal University, Tangshan 063000, ChinaSchool of Mechanical Engineering, Jiangsu University, Zhenjiang 212013, ChinaThis work uses peridynamic theory to obtain the internal force density of a shear horizontal (SH) wave, which is only connected with shear modulus. We then established the reflection equation of a SH wave in peridynamic medium based on the force boundary condition of the SH wave at the virtual boundary layer. The SH wave reflection characteristic in peridynamic medium is similar to the results of traditional theory, which was verified by simulations and experiments in steel plates. The refraction characteristics of a SH wave in peridynamic medium were obtained based on the continuity of the force and the displacement at the refraction point. These features established the relationship between bonds and wave angle. The refraction and reflection characteristics of a SH wave in a peridynamic medium were also verified by numerical simulations and experiments in a welded structure.http://dx.doi.org/10.1155/2020/4139547 |
| spellingShingle | Xiaolong Zhang Yaru Lu Liyu Chen Zhenying Xu Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium Shock and Vibration |
| title | Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium |
| title_full | Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium |
| title_fullStr | Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium |
| title_full_unstemmed | Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium |
| title_short | Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium |
| title_sort | reflection and refraction of shear horizontal waves in peridynamic medium |
| url | http://dx.doi.org/10.1155/2020/4139547 |
| work_keys_str_mv | AT xiaolongzhang reflectionandrefractionofshearhorizontalwavesinperidynamicmedium AT yarulu reflectionandrefractionofshearhorizontalwavesinperidynamicmedium AT liyuchen reflectionandrefractionofshearhorizontalwavesinperidynamicmedium AT zhenyingxu reflectionandrefractionofshearhorizontalwavesinperidynamicmedium |