Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory
A Love wave is derived for a new physical configuration in which a surface layer described by the couple stress theory covers a classical elasticity half-space. The dispersion equation is derived analytically when the thickness of the surface layer approaches zero. The correctness of the dispersion...
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sg-ntu-dr.10356-1436062023-03-04T17:23:23Z Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory Fan, Hui Xu, Limei School of Mechanical and Aerospace Engineering Centre for Continuing Education Engineering::Aeronautical engineering Dispersions Couple Stress Theory A Love wave is derived for a new physical configuration in which a surface layer described by the couple stress theory covers a classical elasticity half-space. The dispersion equation is derived analytically when the thickness of the surface layer approaches zero. The correctness of the dispersion equation is confirmed via the second derivation path, namely the surface elasticity. The membrane with microstructure is described by the surface elasticity which significantly simplifies the derivation. New propagation features deduced from the dispersion curves are discussed. Published version 2020-09-14T02:56:17Z 2020-09-14T02:56:17Z 2018 Journal Article Fan, H., & Xu, L. (2018). Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory. Acta Mechanica, 229(12), 5121-5132. doi:10.1007/s00707-018-2293-1 0001-5970 https://hdl.handle.net/10356/143606 10.1007/s00707-018-2293-1 12 229 5121 5132 en Acta Mechanica © 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. application/pdf |
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Engineering::Aeronautical engineering Dispersions Couple Stress Theory |
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Engineering::Aeronautical engineering Dispersions Couple Stress Theory Fan, Hui Xu, Limei Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory |
description |
A Love wave is derived for a new physical configuration in which a surface layer described by the couple stress theory covers a classical elasticity half-space. The dispersion equation is derived analytically when the thickness of the surface layer approaches zero. The correctness of the dispersion equation is confirmed via the second derivation path, namely the surface elasticity. The membrane with microstructure is described by the surface elasticity which significantly simplifies the derivation. New propagation features deduced from the dispersion curves are discussed. |
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School of Mechanical and Aerospace Engineering |
author_facet |
School of Mechanical and Aerospace Engineering Fan, Hui Xu, Limei |
format |
Article |
author |
Fan, Hui Xu, Limei |
author_sort |
Fan, Hui |
title |
Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory |
title_short |
Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory |
title_full |
Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory |
title_fullStr |
Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory |
title_full_unstemmed |
Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory |
title_sort |
love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory |
publishDate |
2020 |
url |
https://hdl.handle.net/10356/143606 |
_version_ |
1759855011261579264 |