SH surface wave propagating in a strain-gradient layered half-space
By employing Mindlin’s Form II gradient elasticity theory (strain gradient elasticity theory), we investigate the SH surface wave propagating in a strain-gradient layered half-space. The dispersion equation of the SH surface wave is derived analytically. For the general case where both the surface l...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Online Access: | https://hdl.handle.net/10356/159314 |
| _version_ | 1826118662925320192 |
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| author | Long, Jianmin Fan, Hui |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Long, Jianmin Fan, Hui |
| author_sort | Long, Jianmin |
| collection | NTU |
| description | By employing Mindlin’s Form II gradient elasticity theory (strain gradient elasticity theory), we investigate the SH surface wave propagating in a strain-gradient layered half-space. The dispersion equation of the SH surface wave is derived analytically. For the general case where both the surface layer and the half-space are strain-gradient elastic materials, the dispersion equation involves 10 material constants. The dispersion equation of the general case can degenerate to that of several special cases by dropping some material parameters. The existence regions of the dispersion curves are discussed in detail. The effects of strain-gradient elastic constants on the dispersion curves are examined. It is seen that the features of SH surface waves in strain-gradient elastic materials are much richer than those in classical elastic materials. |
| first_indexed | 2024-10-01T04:47:29Z |
| format | Journal Article |
| id | ntu-10356/159314 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:47:29Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1593142022-06-13T06:29:19Z SH surface wave propagating in a strain-gradient layered half-space Long, Jianmin Fan, Hui School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Surface Waves Dispersion Curves By employing Mindlin’s Form II gradient elasticity theory (strain gradient elasticity theory), we investigate the SH surface wave propagating in a strain-gradient layered half-space. The dispersion equation of the SH surface wave is derived analytically. For the general case where both the surface layer and the half-space are strain-gradient elastic materials, the dispersion equation involves 10 material constants. The dispersion equation of the general case can degenerate to that of several special cases by dropping some material parameters. The existence regions of the dispersion curves are discussed in detail. The effects of strain-gradient elastic constants on the dispersion curves are examined. It is seen that the features of SH surface waves in strain-gradient elastic materials are much richer than those in classical elastic materials. Ministry of Education (MOE) The authors would like to thank the financial support from Singapore Ministry of Education Academic Research Fund Tier 1 (RG185/18). Jianmin Long also acknowledges the support from the National Natural Science Foundation of China (11702081) and the Fundamental Research Funds for the Central Universities, Hohai University (2019B08714). 2022-06-13T06:29:19Z 2022-06-13T06:29:19Z 2021 Journal Article Long, J. & Fan, H. (2021). SH surface wave propagating in a strain-gradient layered half-space. Acta Mechanica, 232(3), 1061-1074. https://dx.doi.org/10.1007/s00707-020-02887-1 0001-5970 https://hdl.handle.net/10356/159314 10.1007/s00707-020-02887-1 2-s2.0-85099236737 3 232 1061 1074 en RG185/18 Acta Mechanica © 2021 Springer-Verlag GmbH Austria, part of Springer Nature. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Surface Waves Dispersion Curves Long, Jianmin Fan, Hui SH surface wave propagating in a strain-gradient layered half-space |
| title | SH surface wave propagating in a strain-gradient layered half-space |
| title_full | SH surface wave propagating in a strain-gradient layered half-space |
| title_fullStr | SH surface wave propagating in a strain-gradient layered half-space |
| title_full_unstemmed | SH surface wave propagating in a strain-gradient layered half-space |
| title_short | SH surface wave propagating in a strain-gradient layered half-space |
| title_sort | sh surface wave propagating in a strain gradient layered half space |
| topic | Engineering::Mechanical engineering Surface Waves Dispersion Curves |
| url | https://hdl.handle.net/10356/159314 |
| work_keys_str_mv | AT longjianmin shsurfacewavepropagatinginastraingradientlayeredhalfspace AT fanhui shsurfacewavepropagatinginastraingradientlayeredhalfspace |