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Formulas for the
H$/$V ratio of Rayleigh waves in compressible prestressed
hyperelastic half-spaces
Pham Chi Vinh, Thanh Tuan Tran, Vu Thi Ngoc Anh and Le Thi Hue |
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Vol. 13 (2018), No. 3, 247–261
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Abstract |
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This paper concerns the propagation of Rayleigh waves in compressible prestressed elastic half-spaces. The main aim is to derive formulas for the HV ratio (ellipticity), which is the ratio of the amplitude of the horizontal displacement to the amplitude of the vertical displacement of Rayleigh waves. First, the equation for the HV ratio is obtained using the secular equation and the relation between the HV ratio and the Rayleigh wave velocity. Then, formulas for the HV ratio are derived for a general strain-energy function. They are then specified for some strain-energy functions. Since the HV ratio is a good tool for nondestructively evaluating the prestresses of structures before and during loading, the obtained formulas will be very useful in practical applications. |
Keywords
Rayleigh waves, prestressed half-spaces, H/V ratio, H/V
ratio formulas
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Milestones
Received: 25 October 2017
Revised: 8 April 2018
Accepted: 28 April 2018
Published: 31 August 2018
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Authors |
| Pham Chi Vinh | |
| Faculty of Mathematics, Mechanics
and Informatics Hanoi University of Science Hanoi Vietnam |
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| Thanh Tuan Tran | |
| Faculty of Mathematics, Mechanics
and Informatics Hanoi University of Science Hanoi Vietnam |
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| Vu Thi Ngoc Anh | |
| Faculty of Mathematics, Mechanics
and Informatics Hanoi University of Science Hanoi Vietnam |
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| Le Thi Hue | |
| Vietnam National University of
Forestry Hanoi Vietnam |
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