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

Shikha, Deep; Sharma, Vikas

doi:10.1007/s40997-020-00411-3

Cited by 4 publications

(1 citation statement)

References 26 publications

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“…Ahmadi [35] described the stress-strain relation for the linear viscoelastic material under non-local elasticity and as an application of the non-local viscoelastic damping model in the human lungs was investigated by Grandmont et al [36]. Many researchers studied the Love wave propagation with local elasticity in a composite viscoelastic material, such as Pandit and Kundu [37] studied viscoelastic sandy medium, Kakar and Kakar [38] studied Voigt-type viscoelastic non-homogeneous layer, and Deep and Sharma [39] studied viscoelastic layer couple stress and fiber-reinforced layer. The stress that exists in a material body without any external force except gravity is called initial stress, which is one of the interests of researchers in studying materials.…”

Section: Introductionmentioning

confidence: 99%

Love‐like wave dispersion in a highly non‐homogeneous viscoelastic orthotropic layer under the effect of non‐local elasticity

Pramanik

Manna

2023

Math Methods in App Sciences

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This paper examines the effects of non‐local elasticity on the propagation of Love‐like waves in a Voigt‐type viscoelastic layer over an elastic half‐space. The model's geometry is considered orthotropic, highly non‐homogeneous, and initially stressed media in the context of non‐local continuum mechanics. The non‐homogeneity functions are regarded as binomial functions with a positive real exponent. Two different non‐local parameters have been defined by considering different internal characteristic lengths for the layer and half‐space. Modified Bessel functions of the first and second kinds are used to determine displacement functions. Asymptotic representations of derivatives of modified Bessel's functions have been derived to get the compact form of the dispersion equation. A comparison of phase velocity equations with classical Love wave equations has demonstrated the validity of our model. It is found that different modes of Love‐like waves are dispersive and highly affected by the attenuation coefficient. Additionally, non‐local parameters significantly influence the limitation of phase velocity modes of Love‐like waves. The phase and damped velocity versus non‐local parameters have been depicted with the effect of different parameters in the model. It has been found that the non‐local parameters decrease the particle displacement amplitude in elastic half‐space and rapidly eliminate waves with depth.

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