Formulas for the H/V ratio of Rayleigh waves in incompressible pre-stressed half-spaces

• Autorzy: Chi Vinh P. C. , Tuan T. T. , Hue L. T.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the propagation of a Rayleigh wave in an incompressible pre-stressed elastic half-space is considered. The main aim is to derive exact formulas for the H/V ratio, the ratio of the amplitude of the horizontal displacement to the amplitude of the vertical displacement of the Rayleigh wave. First, the H/V ratio equations are obtained using the secular equation and the relation between the H/V ratio and the Rayleigh wave velocity. Then, the exact formulas for the H/V ratio have been derived for a general strain-energy function by analytically solving the H/V ratio equations. These formulas are then specified to several particular strain-energy functions. Since the obtained formulas are exact and totally explicit, they will be a good tool for nondestructively evaluating pre-stresses of structures before and during loading.

Słowa kluczowe

EN

Rayleigh waves; incompressible; pre-stressed; H/V ratio; formula for the H/V ratio

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2018
• Tom: Vol. 70, nr 2
• Strony: 131--150
• Opis fizyczny: Bibliogr. 22 poz., rys. kolor.

Twórcy

autor

Chi Vinh P. C.

• Faculty of Mathematics, Mechanics and Informatics Hanoi University of Science 334, Nguyen Trai Str. Thanh Xuan, Hanoi, Vietnam

autor

Tuan T. T.

• Faculty of Mathematics, Mechanics and Informatics Hanoi University of Science 334, Nguyen Trai Str. Thanh Xuan, Hanoi, Vietnam

autor

Hue L. T.

• Department of Mathematics Vietnam National University of Forestry Xuan Mai-Chuong My Hanoi, Vietnam

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)