Reflection of plane waves in a nonlocal microstretch thermoelastic medium with temperature dependent properties under three-phase-lag model

Deswal, Sunita; Sheoran, Devender; Thakran, Seema; Kalkal, Kapil Kumar

doi:10.1080/15376494.2020.1837307

Cited by 20 publications

(13 citation statements)

References 32 publications

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“…where = le 0 (e 0 is the material constant, l is the atomic spacing) and ∇ = [ ∂ ∂x 1 , ∂ ∂x 2 , ∂ ∂x 3 ] T is the gradient operator; the researchers have carried out a large number of investigations of harmonic plane waves propagating in various nonlocal elastic media, including nonlocal purely elastic media [2,3], nonlocal thermoelastic media [4][5][6], nonlocal piezoelastic media [7][8][9], nonlocal micropolar elastic media [10][11][12][13][14][15], nonlocal porous elastic media [16][17][18], and nonlocal elastic solids with voids [19][20][21][22][23]. These works investigated the propagation of harmonic plane waves in infinite nonlocal continuum solids [2,4,6,7,10,14,16,17,19,21], the reflection of harmonic plane waves from free boundaries of nonlocal elastic half-spaces [3,4,6,10,13,15,16,19], the reflection and transmission of harmonic plane waves through plane interfaces of two nonlocal elastic half-spaces [8,9,12], the propagation characteristics of Rayleigh waves…”

Section: Introductionmentioning

confidence: 99%

“…where ϵ = l e 0 ( e 0 is the material constant, l is the atomic spacing) and ∇ = [ ∂ ∂ x 1 , ∂ ∂ x 2 , ∂ ∂ x 3 ] T is the gradient operator; the researchers have carried out a large number of investigations of harmonic plane waves propagating in various nonlocal elastic media, including nonlocal purely elastic media [2, 3], nonlocal thermoelastic media [4–6], nonlocal piezoelastic media [7–9], nonlocal micropolar elastic media [10–15], nonlocal porous elastic media [16–18], and nonlocal elastic solids with voids [19–23]. These works investigated the propagation of harmonic plane waves in infinite nonlocal continuum solids [2, 4, 6, 7,…”

Section: Introductionmentioning

confidence: 99%

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Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces

Anh

Vinh

2023

Mathematics and Mechanics of Solids

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In this paper, we introduce a novel model of nonlocal elasticity, called the weakly nonlocal elasticity, and provide explicit expressions of nonlocal quantities for harmonic plane waves propagating in the weakly nonlocal elastic solids. Then, we apply these expressions to investigate the propagation of Stoneley waves along the interface between two weakly nonlocal orthotropic elastic half-spaces. The half-spaces may be compressible or incompressible, and they are in welded contact. Our main aim is to derive explicit dispersion equations of Stoneley waves. First, we derive the explicit dispersion equation for the compressible case (when two half-spaces are compressible) using the surface impedance matrices of half-spaces. Then, the explicit dispersion equations for the incompressible cases (at least one half-space is incompressible) are obtained using the incompressible limit method. The simple and immediate derivation of these equations proves the convenience of the incompressible limit method. Some numerical examples are carried out to examine the effect of nonlocality and incompressibility on the Stoneley wave velocity.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces

Anh

Vinh

2023

Mathematics and Mechanics of Solids

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“…In a rotating thermoelastic medium with temperature-dependent properties, Sheoran et al [43] investigated nonlocal, homogeneous, isotropic deformations in two dimensions. With temperature-dependent properties, Deswal et al [44] discussed the plane wave propagation in nonlocal, microstretch thermoelastic half space. With the efect of rotation, Kumar Kalkal et al [45] studied the refection of plane waves in nonlocal micropolar thermoelastic media.…”

Section: Introductionmentioning

confidence: 99%

Reflection of Plane Waves in Nonlocal Fractional-Order Thermoelastic Half Space

Sharma

Kumari

2022

International Journal of Mathematics and Mathematical Sciences

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The problem of plane waves in nonlocal fractional-order thermoelasticity has been studied. We have considered the x-y plane for the governing equation of nonlocal fractional thermoelasticity and solved these governing equations to calculate the equation in terms of frequency. This frequency shows that three sets of waves exist, in which two are coupled and one is uncoupled. The reflection coefficient of plane waves for classical theory and LS theory has been calculated. The effect of phase speeds, specific losses, and attenuation coefficients with respect to the frequency and nonlocal parameter for the two theories (LS theory and the classical theory of thermoelasticity) has been studied numerically for all propagating waves, and the same has been plotted graphically and explained thoroughly.

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“…Impacts of the speed of heat source, temperature-dependent properties and nonlocal parameter on the variations of displacement, stresses and temperature field were explained by Ma and He (2019). In the context of the three-phase-lag model, Deswal et al (2020) reported a discussion on the reflection of plane waves in a nonlocal microstretch thermoelastic medium with temperature-dependent elastic properties.…”

Section: Introductionmentioning

confidence: 99%

Thermo-mechanical disturbances in a nonlocal rotating elastic material with temperature dependent properties

Sheoran

Kumar

Thakran

et al. 2021

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Purpose The purpose of this paper is to study two-dimensional deformations in a nonlocal, homogeneous, isotropic, rotating thermoelastic medium with temperature-dependent properties under the purview of the Green-Naghdi model II of generalized thermoelasticity. The formulation is subjected to a mechanical load. Design/methodology/approach The normal mode analysis technique is adopted to procure the exact solution of the problem. Findings For isothermal and insulated boundaries, discussions have been made to highlight the influences of rotational speed, nonlocality, temperature-dependent properties and time on the physical quantities. Originality/value The exact expressions for the displacement components, stresses and temperature field are obtained in the physical domain. These are also calculated numerically for a magnesium crystal-like material and depicted through graphs to observe the variations of the considered physical quantities. The present study is useful and valuable for the analysis of problems involving mechanical shock, rotational speed, nonlocal parameter, temperature-dependent properties and elastic deformation.

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Reflection of plane waves in a nonlocal microstretch thermoelastic medium with temperature dependent properties under three-phase-lag model

Cited by 20 publications

References 32 publications

Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces

Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces

Reflection of Plane Waves in Nonlocal Fractional-Order Thermoelastic Half Space

Thermo-mechanical disturbances in a nonlocal rotating elastic material with temperature dependent properties

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