Smooth moving punch in an initially stressed transversely isotropic magnetoelastic medium due to shear wave

Singh, Abhishek Kumar; Kumari, Nirmala; Chattopadhyay, Amares; Sahu, Sanjeev A.

doi:10.1080/15376494.2015.1029161

Cited by 10 publications

(3 citation statements)

References 13 publications

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“…This dispersion equation being a function of phase velocity, angular velocity, wave number, initial stress, rotation, and heterogeneous parameter associated with the rigidity and density of inhomogeneous layer, reveals the fact that Love-type wave propagation is greatly influenced by above-stated parameters. However, under the condition when vanish of inhomogeneity

rotation

, and initial stress

, equation ( 17 ) gives the dispersion equation of Love-type wave in homogeneous transversely isotropic layer resting on rigid base obtained by Gubbins 4 and in similar fashion for isotropic materials

2

with the vanishing of inhomogeneity

rotation

, and initial stress

, equation ( 17 ) gives the dispersion equation of Love-type wave in homogeneous isotropic layer resting on a rigid base obtained by Singh et al 11 …”

Section: Boundary Conditionsmentioning

confidence: 87%

“…A transversely isotropic layer was considered by Chattopadhyay 10 to study the strong SH motion which was supposed to be lying on an elastic material (isotropic) owing to a momentary point source. Recently, Singh et al 11 utilized an "initially stressed magnetoelastic transversely isotropic medium" to better understand how the shear wave propagation impacts a "semi-infinite smooth moving punch." Acharya et al 12 considered a conducting medium to contemplate the impact of magnetic fields and transverse isotropy on the interface waves.…”

Section: Introductionmentioning

confidence: 99%

“…The study on propagation of love waves was extended by Kakar and Kakar 9 by considering their movement in a “Voigt-type viscoelastic heterogeneous layer overlying heterogeneous viscoelastic half-space.” A transversely isotropic layer was considered by Chattopadhyay 10 to study the strong SH motion which was supposed to be lying on an elastic material (isotropic) owing to a momentary point source. Recently, Singh et al 11 utilized an “initially stressed magnetoelastic transversely isotropic medium” to better understand how the shear wave propagation impacts a “semi-infinite smooth moving punch.” Acharya et al 12 considered a conducting medium to contemplate the impact of magnetic fields and transverse isotropy on the interface waves. Ahmad and Khan 13 also considered an unbounded medium emitting transversely isotropic characteristics to study how the propagation of wave plane is affected by rotational effects while the medium is revolving around its axis.…”

Section: Introductionmentioning

confidence: 99%

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The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

et al. 2021

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Introduction: In this paper, a mathematical model of Love-type wave propagation in a heterogeneous transversely isotropic elastic layer subjected to initial stress and rotation of the resting on a rigid foundation. Frequency equation of Love-type wave is obtained in closed form. The material constants and initial stress have been taken as space dependent and arbitrary functions of depth in the respective media. Objectives: The dispersion equation is determined to study the effect of different types of parameters such as inhomogeneity, initial stress, rotation, wave number, the phase velocity on the Love-type wave propagation. Methods: The analytical solution has been obtained, we have used the separation of variables, method and the numerical solution using the bisection method implemented in MATLAB. Results: We present a general dispersion relation to describe the impacts as the propagation of Love-type waves in the structures. Numerical results analyzing the dispersion equation are discussed and presented graphically. Moreover, the obtained dispersion relation is found in well agreement with the classical case in isotropic and transversely isotropic layer resting on a rigid foundation. Finally, some graphical presentations have been made to assess the effects of various parameters in the plane wave propagation in elastic media of different nature.

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rotation

, and initial stress

2

with the vanishing of inhomogeneity

rotation

, and initial stress

, equation ( 17 ) gives the dispersion equation of Love-type wave in homogeneous isotropic layer resting on a rigid base obtained by Singh et al 11 …”

Section: Boundary Conditionsmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

et al. 2021

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Influence of Rigid, Stress-Free and Yielding Base of a Composite Structure on the Propagation of Rayleigh-Type Wave: A Comparative Approach

et al. 2017

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In this paper, case wise studies have been made to investigate the possibility of propagation of Rayleigh-type wave in a composite structure comprised of two transversely-isotropic material layers with viscoelastic effect. The common interface between the layers is considered to be rigid whereas the base has been considered as rigid, stress-free and yielding in three different cases (Case-I, II and III). Closed-form of frequency equation and damped velocity equation has been established analytically for propagation of Rayleigh-type wave in a composite structure for all three cases. In special cases, frequency equations and damped velocity equations for the case of composite structure with rigid, stress-free and yielding base have been found in well-agreement to the established standard results pre-existing in the literature. Numerical and graphical computation of phase and damped velocity of Rayleigh-type wave propagating in the composite structure comprised of double transversely-isotropic viscoelastic Taylor sandstone material layers (Model-I) and double isotropic viscoelastic material layers (Model-II) have been carried out. Significant effect of anisotropy and width ratio of layers, dilatational and volume viscoelasticity associated with viscoelasticity of layer medium and yielding parameter associated with yielding base of composite structure on phase and damped velocities of Rayleigh-type wave for the considered models have been traced out. The comparative study has been performed to unravel the effect of viscoelasticity over elasticity and anisotropy over isotropy in the present problem.

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Effect of heterogeneity on edge wave propagation in an initially stressed dry sandy plate

Kumari¹,

Kundu²

2017

AIP Conference Proceedings

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Smooth moving punch in an initially stressed transversely isotropic magnetoelastic medium due to shear wave

Cited by 10 publications

References 13 publications

The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

The influence of heterogeneity and initial stress on the propagation of Love-type wave in a transversely isotropic layer subjected to rotation

Influence of Rigid, Stress-Free and Yielding Base of a Composite Structure on the Propagation of Rayleigh-Type Wave: A Comparative Approach

Effect of heterogeneity on edge wave propagation in an initially stressed dry sandy plate

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