Transverse shear surface wave in a functionally graded material infinite half space |
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| Authors: | Xiaoshan Cao Kikuo Kishimoto |
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| Affiliation: | 1. Department of Engineering Mechanics , School of Civil Engineering and Architecture, Xi’an University of Technology , Xi’an 710048 , People's Republic of China;2. Department of Mechanical Sciences and Engineering , Tokyo Institute of Technology , 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552 , Japan |
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| Abstract: | The variable substitution and power-series techniques are used for the asymptotic analytical derivation of the governing equation of a transverse surface wave. The results reveal that the transverse wave can propagate along the surface of a functionally graded infinite half space in various modes, and that their dispersion relations are normal. For certain cases, energy is concentrated on the surface region to a depth of several wavelengths. A new theoretical foundation based on the transverse surface wave can be provided for graded-material characterization by experimental measurement. Some phenomena of seismic wave propagation may also be explained. |
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| Keywords: | transverse shear surface wave functionally graded material variable substitution power-series technique dispersion |
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