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Most previous studies on nonlinear Lamb waves are conducted using mode pairs that satisfying strict phase velocity matching and non-zero power flux criteria. However, there are some limitations in existence. First, strict phase velocity matching is not existed in the whole frequency bandwidth; Second, excited center frequency is not always exactly equal to the true phase-velocity-matching frequency; Third, mode pairs are isolated and quite limited in number; Fourth, exciting a single desired primary mode is extremely difficult in practice and the received signal is quite difficult to process and interpret. And few attention has been paid to solving these shortcomings. In this paper, nonlinear S0 mode Lamb waves at low-frequency range satisfying approximate phase velocity matching is proposed for the purpose of overcoming these limitations. In analytical studies, the secondary amplitudes with the propagation distance considering the fundamental frequency, the maximum cumulative propagation distance (MCPD) with the fundamental frequency and the maximum linear cumulative propagation distance (MLCPD) using linear regression analysis are investigated. Based on analytical results, approximate phase velocity matching is quantitatively characterized as the relative phase velocity deviation less than a threshold value of 1%. Numerical studies are also conducted using tone burst as the excitation signal. The influences of center frequency and frequency bandwidth on the secondary amplitudes and MCPD are investigated. S1–S2 mode with the fundamental frequency at 1.8 MHz, the primary S0 mode at the center frequencies of 100 and 200 kHz are used respectively to calculate the ratios of nonlinear parameter of Al 6061-T6 to Al 7075-T651. The close agreement of the computed ratios to the actual value verifies the effectiveness of nonlinear S0 mode Lamb waves satisfying approximate phase velocity matching for characterizing the material nonlinearity. Moreover, the ratios derived from the primary and secondary horizontal displacements generated from nonlinear S0 mode Lamb waves are closest to the real value, which indicates that using horizontal displacements is more suitable for detecting evenly distributed microstructural changes in large thin plate-like structure. Successful application to evaluating material at different levels of evenly distributed fatigue damage is also numerically conducted. [ABSTRACT FROM AUTHOR]

Background and Aims There is increased evidence that partial nitrate (NO3−) nutrition (PNN) improves growth of rice (Oryza sativa), although the crop prefers ammonium (NH4) to NO3− nutrition. It is not known whether the response to NO3− supply is related to nitrogen (N) use efficiency (NUE) in rice cultivars. Methods Solution culture experiments were carried out to study the response of two rice cultivars, Nanguang (High-NUE) and Elio (Low-NUE), to partial NO3− supply in terms of dry weight, N accumulation, grain yield, NH4 uptake and ammonium transporter expression [real-time polymerase chain reaction (PCR)]. Key Results A ratio of 75/25 NH4+N/NO3−-N increased dry weight, N accumulation and grain yield of ‘Nanguang’ by 30, 36 and 21 %, respectively, but no effect was found in ‘Elio’ when compared with those of 100/0 NH4+N/NO3−-N. Uptake experiments with 15N-NH4 showed that NO3− increased NH4 uptake efficiency in ‘Nanguang’ by increasing Vmax (14 %), but there was no effect on Km. This indicated that partial replacement of NH4 by NO3− could increase the number of the ammonium transporters but did not affect the affinity of the transporters for NH4. Real-time PCR showed that expression of OsAMT1s in ‘Nanguang’ was improved by PNN, while that in ‘Elio’ did not change, which is in accordance with the differing responses of these two cultivars to PNN. Conclusions Increased NUE by PNN can be attributed to improved N uptake. The rice cultivar with a higher NUE has a more positive response to PNN than that with a low NUE, suggesting that there might be a relationship between PNN and NUE. [ABSTRACT FROM AUTHOR]