Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

Sheoran, Devender; Kumar, Ramesh; Kumar, Sunil; Kalkal, Kapil Kumar

doi:10.1108/hff-05-2020-0305

Cited by 14 publications

(8 citation statements)

References 37 publications

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“…They eliminated the conundrum of infinite speed propagation of thermal waves by incorporating the acceleration of the thermal and conductive temperatures. Sheoran et al (2020) studied the wave propagation in an initially stressed rotating thermo-diffusive medium with CTT. Bassiouny and Rajagopalan (2020) investigated the thermoelastic model exposed to thermal stress in the framework of HTT theory using fractional derivatives.…”

Section: Introductionmentioning

confidence: 99%

Reflection/transmission of plane waves at the interface of an ideal fluid and nonlocal piezothermoelastic medium

Gupta

Kumar

et al. 2022

HFF

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Purpose This paper aims to study the variation of energy ratios of different reflected and transmitted waves by calculating the amplitude ratios. Design/methodology/approach This investigation studied the reflection and transmission of plane waves on an interface of nonlocal orthotropic piezothermoelastic space (NOPHS) and fluid half-space (FHS) in reference to dual-phase-lag theory under three different temperature models, namely, without-two-temperature, classical-two-temperature, and hyperbolic-two-temperature with memory-dependent derivatives (MDDs). Findings The primary (P) plane waves propagate through FHS and strike at the interface x3 = 0. The results are one wave reflected in FHS and four waves transmitted in NOPHS. It is noticed that these ratios are observed under the impact of nonlocal, dual-phase-lag (DPL), two-temperature and memory-dependent parameters and are displayed graphically. Some particular cases are also deduced, and the law of conservation of energy across the interface is justified. Research limitations/implications According to the available literature, there is no substantial research on the considered model incorporating NOPHS and FHS with hyperbolic two-temperature, DPL and memory. Practical implications The current model may be used in various fields, including earthquake engineering, nuclear reactors, high particle accelerators, aeronautics, soil dynamics and so on, where MDDs and conductive temperature play a significant role. Wave propagation in a fluid-piezothermoelastic media with different characteristics such as initial stress, magnetic field, porosity, temperature, etc., provides crucial information about the presence of new and modified waves, which is helpful in a variety of technical and geophysical situations. Experimental seismologists, new material designers and researchers may find this model valuable in revising earthquake estimates. Social implications The researchers may classify the material using the two-temperature parameter and the time-delay operator, where the parameter is a new indication of its capacity to transmit heat in interaction with various materials. Originality/value The submitted manuscript is original work done by the team of said authors and each author contributed equally to preparing this manuscript.

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Section: Introductionmentioning

confidence: 99%

Reflection/transmission of plane waves at the interface of an ideal fluid and nonlocal piezothermoelastic medium

Gupta

Kumar

et al. 2022

HFF

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“…Hobiny and Abbas (2020) used the dual-phase-lag model to investigate the effects of phase lags on thermo-mechanical interactions in porous media. Sheoran et al (2020) explored the propagation of plane waves in a rotating thermoelastic diffusive media with micro-concentrations and two temperatures in an initially strained rotating thermoelastic diffusive medium. Carcione et al (2019b) cracked the wave propagation issue with a direct grid procedure established on the Fourier pseudospectral operator and an explicit Crank–Nicolson time-integration approach, using the LS theory.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid

Kumar¹,

Liu

Kumari³

et al. 2022

HFF

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Purpose The purpose of this paper is to investigate propagation characteristics of seismic waves at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid. Design/methodology/approach A theoretical formulation of partially saturated poro-thermoelastic solid is used in this study established by Zhou et al. (2019). The incidence of two primary waves (P and SV) is taken. The incident wave from the elastic solid induces two reflected waves and five refracted waves. Due to viscous pore fluids, partially saturated poro-thermoelastic solid behave dissipative, whereas elastic solid behaves non-dissipative. As a result, both reflected and incident waves are homogeneous. However, all the refracted waves are inhomogeneous. A non-singular system of linear equations is formed by the coefficients of reflection and refraction for a specified incident wave. The energy shares of various reflected and refracted waves are determined by using these reflection and refraction factors. Finally, a sensitivity analysis is performed, and the effect of critical variables on energy partitioning at the interface is observed. The numerical example shows that throughout the process of reflection/refraction, the energy of incidence is conserved at all angles of incidences. Findings This study demonstrated two refracted (homogeneous) and five refracted (inhomogeneous) waves due to the incident wave from elastic solid. The reflection and refraction coefficients and partitioning of incident energy are acquired as a part of diverse physical parameters of the partially saturated poro-thermoelastic media. The interference energies between unlike pairs of refracted waves have been discovered due to the dissipative behavior of unsaturated poro-thermoelastic solid. Originality/value The sensitivity of different energy shares to various aspects of the considered model is graphically analyzed for a specific numerical model. The energy balance is maintained by combining interaction energy and bulk wave energy shares.

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“…A new nonlocal theory of generalized thermoelastic materials with voids and fractional derivative heat transmission was presented by Bachher and Sarkar (2019). To explore the two-dimensional deformations in a nonlocal rotating thermoelastic media with temperature-dependent properties, Sheoran et al (2020) used the normal mode technique. In the context of dual-phase-lag theory, Sur (2022) investigated the impact of a magnetic field on a nonlocal memory-dependent piezothermoelastic medium.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional deformations in an initially stressed nonlocal micropolar thermoelastic porous medium subjected to a moving thermal load

Kundu

Kalkal²,

Sangwan³

et al. 2022

HFF

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Purpose The purpose of the present paper is to investigate the thermo-mechanical interactions in an initially stressed nonlocal micropolar thermoelastic half-space having void pores under Lord–Shulman model. A moving thermal shock is applied to the formulation. Design/methodology/approach The normal mode technique is adopted to obtain the exact expressions of the physical quantities. Findings Numerical computations for stresses, displacement components, temperature field and change in the volume fraction field are performed for suitable material and are depicted graphically. Some comparisons have been shown in figures to estimate the effects of micropolarity, initial stress, voids, nonlocal parameter and time on the resulting quantities. Originality/value The exact expressions for the displacement components, stresses, temperature and change in the volume fraction field are obtained in the physical domain. Although numerous investigations do exist to observe the disturbances in a homogeneous, isotropic, initially stressed, micropolar thermoelastic half-space, the work in its current form has not been established by any scholar till now. The originality of the present work lies in the formulation of a fresh research problem to investigate the dependence of different physical fields on nonlocality parameters, micropolarity, initial stress, porosity and time due to the application of a moving thermal shock.

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Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

Cited by 14 publications

References 37 publications

Reflection/transmission of plane waves at the interface of an ideal fluid and nonlocal piezothermoelastic medium

Reflection/transmission of plane waves at the interface of an ideal fluid and nonlocal piezothermoelastic medium

Wave propagation at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid

Two-dimensional deformations in an initially stressed nonlocal micropolar thermoelastic porous medium subjected to a moving thermal load

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