On the determination of the third-order elastic constants of homogeneous isotropic materials utilising Rayleigh waves

Mohabuth, Munawwar; Khanna, Aditya; Hughes, James M.; Kotousov, Andrei; Ng, Ching‐Tai

doi:10.1016/j.ultras.2019.02.006

Cited by 20 publications

(5 citation statements)

References 40 publications

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“…The experimental evaluation of the TOECs for common metals and alloys differs from conventional testing of material properties using the stress-strain diagram. The nonlinear elastic properties are typically evaluated using the acoustoelastic effect (which describes the influence of the stress state on the speed of a propagating elastic wave) or various nonlinear effects, such as the generation of higher-order harmonics [45,46,47]. Both techniques are based on the generation and processing of ultrasonic wave signals.…”

Section: Discussionmentioning

confidence: 99%

Effective elastic properties of a weakly nonlinear particulate composite

Vidler

Kotousov

2022

International Journal of Non-Linear Mechanics

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Section: Discussionmentioning

confidence: 99%

Effective elastic properties of a weakly nonlinear particulate composite

Vidler

Kotousov

2022

International Journal of Non-Linear Mechanics

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“…Early research into nonlinear guided waves focused on the bulk waves and Rayleigh surface waves [27]. Different from bulk waves and Rayleigh surface waves [28], the guided waves can be highly dispersive if it is generated using inappropriate excitation frequency. Guided waves generally contain multiple wave modes and their group and phase velocities usually vary with frequency.…”

Section: Nonlinear Features Of Guided Wavesmentioning

confidence: 99%

Time-Domain Spectral Finite Element Method for Modeling Second Harmonic Generation of Guided Waves Induced by Material, Geometric and Contact Nonlinearities in Beams

Yeung

2020

Int. J. Str. Stab. Dyn.

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This study proposes a time-domain spectral finite element (SFE) method for simulating the second harmonic generation (SHG) of nonlinear guided wave due to material, geometric and contact nonlinearities in beams. The time-domain SFE method is developed based on the Mindlin–Hermann rod and Timoshenko beam theory. The material and geometric nonlinearities are modeled by adapting the constitutive relation between stress and strain using a second-order approximation. The contact nonlinearity induced by breathing crack is simulated by bilinear crack mechanism. The material and geometric nonlinearities of the SFE model are validated analytically and the contact nonlinearity is verified numerically using three-dimensional (3D) finite element (FE) simulation. There is good agreement between the analytical, numerical and SFE results, demonstrating the accuracy of the proposed method. Numerical case studies are conducted to investigate the influence of number of cycles and amplitude of the excitation signal on the SHG and its performance in damage detection. The results show that the amplitude of the SHG increases with the numbers of cycles and amplitude of the excitation signal. The amplitudes of the SHG due to material and geometric nonlinearities are also compared with the contact nonlinearity when a breathing crack exists in the beam. It shows that the material and geometric nonlinearities have much less contribution to the SHG than the contact nonlinearity. In addition, the SHG can accurately determine the crack location without using the reference data. Overall, the findings of this study help further advance the use of SHG for damage detection.

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“…According to the recent review of Jhang [31], the non-linearity mainly arise from two sources, material non-linearity, and contact non-linearity due to presence of contact-type defects or damage. The generation of higher-order harmonics due to contact nonlinearity has been investigated experimentally for bulk waves [32], Rayleigh waves [33]- [35] as well as for Lamb waves. A number of recent studies have also focused on different types of damage, such as delamination [36]- [38], fatigue cracks [39]- [41], debonding [42] [43], and loosening bolted joints [44] [45].…”

Section: Nonlinear Guided Wavementioning

confidence: 99%

Second-order harmonic generation of Lamb wave in prestressed plates

Yang

Kotousov

2019

Journal of Sound and Vibration

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On the determination of the third-order elastic constants of homogeneous isotropic materials utilising Rayleigh waves

Abstract: On the determination of the third-order elastic constants of homogeneous isotropic materials utilising Rayleigh waves

Cited by 20 publications

References 40 publications

Effective elastic properties of a weakly nonlinear particulate composite

Effective elastic properties of a weakly nonlinear particulate composite

Time-Domain Spectral Finite Element Method for Modeling Second Harmonic Generation of Guided Waves Induced by Material, Geometric and Contact Nonlinearities in Beams

Second-order harmonic generation of Lamb wave in prestressed plates

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