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Dispersion characteristics of guided waves in functionally graded anisotropic micro/nano-plates based on the modified couple stress theory
https://orcid.org/0000-0002-4129-4557
https://orcid.org/0000-0002-7309-2343
https://orcid.org/0000-0003-2570-8040
Abstract In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on the modified couple stress theory. A higher efficient computational approach, the extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This polynomial method does not need to solve the FG micro/nano-plates hierarchically, which provides a more realistic analysis model for FG micro/nano-plates and has high computational efficiency. Simultaneously, the solutions based on the global matrix method (GMM) are also deduced to verify the correctness of the polynomial method. Furthermore, the effects of size and material gradient are studied in detail. Numerical results show that the size effect causes wrinkles in Lamb wave dispersion curves, and the material gradient characteristic changes the amplitude and range of wrinkles. For SH waves, the length scale parameter L x increases the cut-off frequency but does not change the overall trend of the dispersion curve; on the contrary, L z does not change the cut-off frequency but causes the dispersion curve to show an upward trend.
Highlights Guided waves in FG nanoplates are solved by extended LOPM without stratification. Solution of GMM is deduced with stratification to verify the correctness of LOPM. The size effect strengthens wave dispersion degree and improves wave velocity. The material gradient weakens the degree of wrinkle in Lamb wave dispersion curve. The length scale parameters L x and L z have different effects on SH wave.
Dispersion characteristics of guided waves in functionally graded anisotropic micro/nano-plates based on the modified couple stress theory
https://orcid.org/0000-0002-4129-4557
https://orcid.org/0000-0002-7309-2343
https://orcid.org/0000-0003-2570-8040
Abstract In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on the modified couple stress theory. A higher efficient computational approach, the extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This polynomial method does not need to solve the FG micro/nano-plates hierarchically, which provides a more realistic analysis model for FG micro/nano-plates and has high computational efficiency. Simultaneously, the solutions based on the global matrix method (GMM) are also deduced to verify the correctness of the polynomial method. Furthermore, the effects of size and material gradient are studied in detail. Numerical results show that the size effect causes wrinkles in Lamb wave dispersion curves, and the material gradient characteristic changes the amplitude and range of wrinkles. For SH waves, the length scale parameter L x increases the cut-off frequency but does not change the overall trend of the dispersion curve; on the contrary, L z does not change the cut-off frequency but causes the dispersion curve to show an upward trend.
Highlights Guided waves in FG nanoplates are solved by extended LOPM without stratification. Solution of GMM is deduced with stratification to verify the correctness of LOPM. The size effect strengthens wave dispersion degree and improves wave velocity. The material gradient weakens the degree of wrinkle in Lamb wave dispersion curve. The length scale parameters L x and L z have different effects on SH wave.
Dispersion characteristics of guided waves in functionally graded anisotropic micro/nano-plates based on the modified couple stress theory
https://orcid.org/0000-0002-4129-4557
https://orcid.org/0000-0002-7309-2343
https://orcid.org/0000-0003-2570-8040
Abstract In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on the modified couple stress theory. A higher efficient computational approach, the extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This polynomial method does not need to solve the FG micro/nano-plates hierarchically, which provides a more realistic analysis model for FG micro/nano-plates and has high computational efficiency. Simultaneously, the solutions based on the global matrix method (GMM) are also deduced to verify the correctness of the polynomial method. Furthermore, the effects of size and material gradient are studied in detail. Numerical results show that the size effect causes wrinkles in Lamb wave dispersion curves, and the material gradient characteristic changes the amplitude and range of wrinkles. For SH waves, the length scale parameter L x increases the cut-off frequency but does not change the overall trend of the dispersion curve; on the contrary, L z does not change the cut-off frequency but causes the dispersion curve to show an upward trend.
Highlights Guided waves in FG nanoplates are solved by extended LOPM without stratification. Solution of GMM is deduced with stratification to verify the correctness of LOPM. The size effect strengthens wave dispersion degree and improves wave velocity. The material gradient weakens the degree of wrinkle in Lamb wave dispersion curve. The length scale parameters L x and L z have different effects on SH wave.
Dispersion characteristics of guided waves in functionally graded anisotropic micro/nano-plates based on the modified couple stress theory
Liu, Cancan (author) / Yu, Jiangong (author) / Xu, Weijiang (author) / Zhang, Xiaoming (author) / Wang, Xianhui (author)
Thin-Walled Structures ; 161
2021-01-30
Article (Journal)
Electronic Resource
English
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