Study of Love-type wave propagation in an isotropic tri layers elastic medium overlying a semi-infinite elastic medium structure

Chattopadhyay, Amares; Singh, Pooja; Kumar, Pradeep; Singh, Abhishek Kumar

doi:10.1080/17455030.2017.1381778

Cited by 15 publications

(3 citation statements)

References 10 publications

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“…Wave propagation in multi-layered structures is unquestionably one of the most fundamental problems of elastodynamics. Study of free guided waves in layered plates can be found in textbooks [8,9] and research papers [10,11]. The dispersion equation of guided waves in fluid-solid bilayered plate is discussed in [12].…”

Section: Introductionmentioning

confidence: 99%

Theoretical model of guided waves in a bone-mimicking plate coupled with soft-tissue layers

Nguyen

Plan

et al. 2021

Vietnam J. Mech.

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Quantitative ultrasound has shown a significant promise in the assessment of bone characteristics in the recent reports. However, our understanding of wave interaction with bone tissues is still far from complete since the propagation of ultrasonic waves in bones is a very challenging topic due to their multilayer nature. The aim of the current study is to develop a theoretical model for guided waves in a bone-mimicking plate coupled with two soft-tissue layers. Here, the bone plate is modeled as an isotropic solid layer while the soft tissues are modeled as fluid layers. Based on the boundary conditions set for the three-layered structure, a characteristic equation is obtained which results in dispersion curves of the phase and group velocities. New expressions for free guided waves propagating in the trilayered plate are introduced. The amplitudes of wave modes generated by time-harmonic loads applied in the plate are theoretically computed by reciprocity consideration. As an example of calculation, the normalized amplitudes of the lowest wave modes are presented. The obtained results and equations discussed in this study could be, in general, useful for further applications in the area of bone quantitative ultrasound.

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Section: Introductionmentioning

confidence: 99%

Theoretical model of guided waves in a bone-mimicking plate coupled with soft-tissue layers

Nguyen

Plan

et al. 2021

Vietnam J. Mech.

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“…(1957) and Achenbach (1976), among others. Recently, various researchers have investigated Love waves in many different media, viz., Chatterjee and Chattopadhyay (2018) studied the effect of curved boundaries on the particle displacement due to Rayleigh and Love-type wave propagation in a reinforced composite material, Chattopadhyay et al. (2018) studied the effect of different types of heterogeneity on the propagation of Love waves using the Debye Asymptotic Expansion approach, Chattaraj and Samal (2016) studied the propagation of Love waves in an initially stressed anisotropic porous irregular layer, Kielczyński (2018) presented a theoretical model for Love-type wave propagation in lossy waveguides consisting of a viscoelastic layer and Pandit et al.…”

Section: Introductionmentioning

confidence: 99%

“…Some of the earlier studies are available in Ewing et al (1957) and Achenbach (1976), among others. Recently, various researchers have investigated Love waves in many different media, viz., Chatterjee and Chattopadhyay (2018) studied the effect of curved boundaries on the particle displacement due to Rayleigh and Love-type wave propagation in a reinforced composite material, Chattopadhyay et al (2018) studied the effect of different types of heterogeneity on the propagation of Love waves using the Debye Asymptotic Expansion approach, Chattaraj and Samal (2016) studied the propagation of Love waves in an initially stressed anisotropic porous irregular layer, Kielczyn´ski (2018) presented a theoretical model for Love-type wave propagation in lossy waveguides consisting of a viscoelastic layer and Pandit et al (2017) explored the existence and propagation of Voigt-type viscoelastic Love waves in a prestressed functionally graded orthotropic layer over porous substrate. Some other problems within the context of Love wave propagation have been attempted by Kielczyn´ski and Cheeke (1997), Rushchitsky (2013), Shams (2016), Kaptsov and Kuznetsov (2015) and Vaishnav et al (2016).…”

Section: Introductionmentioning

confidence: 99%

Love waves in a nonlocal elastic media with voids

Kaur

Singh

Tomar

2019

Journal of Vibration and Control

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The propagation of Love-type waves in a nonlocal elastic layer with voids resting over a nonlocal elastic solid half-space with voids has been studied. Dispersion relations are derived using appropriate boundary conditions of the model. It is found that there exist two fronts of Love-type surface waves that may travel with distinct speeds. The appearance of the second front is purely due to the presence of voids in layered media. Both fronts are found to be dispersive in nature and affected by the presence of the nonlocality parameter. The first front is found to be nonattenuating, independent of void parameters and analogous to the Love wave of classical elasticity, while the second front is attenuating and depends on the presence of void parameters. Each of the fronts is found to face a critical frequency above which it ceases to propagate. For a specific model, the variation of the phase speeds of both the fronts with frequency, nonlocality, voids and thickness parameters is shown graphically. Attenuation coefficient versus frequency for the second front has also been depicted separately. Some particular cases are deduced from the present formulation.

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Love Wave Propagation in Viscoelastic Layer Sandwiched Between Fiber-reinforced Layer and Consistent Couple Stress Substrate

Shikha

Sharma

2021

Iran J Sci Technol Trans Mech Eng

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Study of Love-type wave propagation in an isotropic tri layers elastic medium overlying a semi-infinite elastic medium structure

Cited by 15 publications

References 10 publications

Theoretical model of guided waves in a bone-mimicking plate coupled with soft-tissue layers

Theoretical model of guided waves in a bone-mimicking plate coupled with soft-tissue layers

Love waves in a nonlocal elastic media with voids

Love Wave Propagation in Viscoelastic Layer Sandwiched Between Fiber-reinforced Layer and Consistent Couple Stress Substrate

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