Propagation of Love waves in an elastic layer with void pores

Dey, Sanku; Gupta, Shishir; Gupta, Ajay

doi:10.1007/bf02703687

Cited by 28 publications

(15 citation statements)

References 8 publications

(10 reference statements)

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“…[3–5]. Singh [6] studied the reflection and transmission of couple longitudinal waves at a plane interface between two dissimilar half-spaces of thermo-elastic materials with voids.…”

Section: Introductionmentioning

confidence: 99%

Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

2017

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This theoretical work reports the dispersion and absorption characteristics of horizontally polarized shear wave (SH-wave) in a corrugated medium with void pores sandwiched between two dissimilar half-spaces. The dispersion and absorption equations have been derived in a closed form using the method of separation of variables. It has been established that there are two different kinds of wavefronts propagating in the proposed media. One of the wavefronts depends on the modulus of rigidity of elastic matrix of the medium and satisfies the dispersion equation of SH-waves. The second wavefront depends on the changes in volume fraction of the pores. Numerical computation of the obtained relations has been performed and the results are depicted graphically. The influence of corrugation, sandiness on the phase velocity and the damped velocity of SH-wave has been studied extensively.

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“…[3–5]. Singh [6] studied the reflection and transmission of couple longitudinal waves at a plane interface between two dissimilar half-spaces of thermo-elastic materials with voids.…”

Section: Introductionmentioning

confidence: 99%

Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

2017

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“…There is a time gap for the micro-dilatation theory or so-called void elasticity between 1990 and 2000. The most outstanding works in revival of the micro-dilatation can be addressed in Markov (1995), Inan and Markov (1995), Scarpetta (2002), Ciarletta et al (2003), Dey et al (August 2004).…”

Section: Historical Overview On the Micro-dilatation Theorymentioning

confidence: 99%

Non-linear elastic micro-dilatation theory: Matrix exponential function paradigm

Ramézani

Jeong²

2015

International Journal of Solids and Structures

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a b s t r a c tIn the present paper, the micro-dilatation theory or void elasticity is extended to both large displacement and large dilatation. Firstly, the deformation gradient tensor has been freshly defined by means of the matrix exponential function. The newly defined relation for the deformation gradient has painstakingly investigated for the uniqueness, decomposition issues as well as objectivity and isotropy considerations. The relation of the displacement gradient and deformation gradient tensor is brought via the matrix logarithm function. The micro-dilatation theory constitutive laws are derived using the thermodynamic principles under the zero-centrosymmetric, weakly-centrosymmetric and fully-centrosymmetric cases. These cases have been derived and scrutinized by the numerical experiments. To achieve this assignment, the basic loadings are taken into account, e.g. the hydrostatic loading, simple traction and shear. Some conclusions and outlook pertaining to the above-mentioned cases and variable bulk density have thereafter discussed.

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“…Dey et al. (2004) discussed the propagation of the Love wave in an elastic medium with void pores, but did not account for nonlocality in their model.…”

Section: Dispersion Relationmentioning

confidence: 99%

“…Moreover, each of the waves faces a critical frequency above which they cease to propagate and produce only distance decaying vibrations. Dey et al. (2004) studied the propagation of Love waves in an elastic layer with void pores and derived its frequency equation, but they did not account for nonlocality in their model.…”

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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Propagation of Love waves in an elastic layer with void pores

Cited by 28 publications

References 8 publications

Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

Non-linear elastic micro-dilatation theory: Matrix exponential function paradigm

Love waves in a nonlocal elastic media with voids

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