Reflection of plane waves in a nonlocal micropolar thermoelastic medium under the effect of rotation

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

doi:10.1007/s00707-020-02676-w

Cited by 39 publications

(18 citation statements)

References 36 publications

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“…Deswal et al (2018) studied the effects of gravity and two temperatures on wave propagation in a micropolar thermoelastic half-space under dual-phase-lag (DPL) theory. Reflection phenomena in a homogeneous, nonlocal, micropolar rotating thermoelastic half-space was discussed by Kalkal et al (2020a). Using the normal mode approach, Kalkal et al (2020b) analyzed two-dimensional deformations in a functionally graded, magneto-thermoelastic half-space with micropolarity effect under Lord-Shulman theory.…”

Section: Introductionmentioning

confidence: 99%

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

Kumar

Kadian

Kalkal

2021

HFF

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Purpose The purpose of this study is to analyze the disturbances in a two-dimensional nonlocal, micropolar elastic medium under the dual-phase-lag model of thermoelasticity whose surface is subjected to an inclined mechanical load. The present study is carried out under the influence of gravity. Design/methodology/approach The normal mode technique is used to obtain the exact expressions of the physical fields. Findings For inclined mechanical load, the impact of micropolarity, nonlocal parameter, gravity and inclination angle have been highlighted on the considered physical fields. Originality/value The numerical results are computed for various physical quantities such as displacement, stresses and temperature for a magnesium crystal-like material and are illustrated graphically. The study is valuable for the analysis of thermoelastic problems involving gravitational field, nonlocal parameter, micropolarity and elastic deformations.

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Section: Introductionmentioning

confidence: 99%

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

Kumar

Kadian

Kalkal

2021

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“…By using normal mode technique, Sarkar et al (2020) scrutinized the effect of laser pulse on the transient waves in a nonlocal thermoelastic medium influenced by thermal loading under Green–Naghdi model. Recently, Kalkal et al (2020) investigated the reflection of plane waves at the free surface of an isotropic, homogeneous, nonlocal, micropolar rotating thermoelastic medium.…”

Section: Introductionmentioning

confidence: 99%

Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay model

Kumar

Thakran

Gunghas

et al. 2020

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Purpose The purpose of this study is to analyze the two-dimensional disturbances in a nonlocal, functionally graded, isotropic thermoelastic medium under the purview of the Green–Lindsay model of generalized thermoelasticity. The formulation is subjected to a mechanical load. All the thermomechanical properties of the solid are assumed to vary exponentially with the position. Design/methodology/approach Normal mode technique is proposed to obtain the exact expressions for the displacement components, stresses and temperature field. Findings Numerical computations have been carried out with the help of MATLAB software and the results are illustrated graphically. These are also calculated numerically for a magnesium crystal-like material and illustrated through graphs. Theoretical and numerical results demonstrate that the nonlocality and nonhomogeneity parameters have significant effects on the considered physical fields. Originality/value Influences of nonlocality and nonhomogeneity on the physical quantities are carefully analyzed for isothermal and insulated boundaries. The present work is useful and valuable for analysis of problems involving mechanical shock, nonlocal parameter, functionally graded materials and elastic deformation.

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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%

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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Reflection of plane waves in a nonlocal micropolar thermoelastic medium under the effect of rotation

Cited by 39 publications

References 36 publications

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay model

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

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