Response of fractional order on energy ratios at the boundary surface of fluid-piezothermoelastic media

et al. 2023

MMMS

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PurposeThis paper aims to study the energy ratios of plane waves on an imperfect interface of elastic half-space (EHS) and orthotropic piezothermoelastic half-space (OPHS).Design/methodology/approachThe dual-phase lag (DPL) theory with memory-dependent derivatives is employed to study the variation of energy ratios at the imperfect interface.FindingsA plane longitudinal wave (P) or transversal wave (SV) propagates through EHS and strikes at the interface. As a result, two waves are reflected, and four waves are transmitted, as shown in Figure 2. The amplitude ratios are determined by imperfect boundaries having normal stiffness and transverse stiffness. The variation of energy ratios is computed numerically for a particular model of graphite (EHS)/cadmium selenide (OPHS) and depicted graphically against the angle of incidence to consider the effect of stiffness parameters, memory and kernel functions.Research limitations/implicationsThe energy distribution of incident P or SV waves among various reflected and transmitted waves, as well as the interaction of waves for imperfect interface (IIF), normal stiffness interface (NSIF), transverse stiffness interface (TSIF), and welded contact interface (WCIF), are important factors to consider when studying seismic wave behavior.Practical implicationsThe present model may be used in various disciplines, such as high-energy particle physics, earthquake engineering, nuclear fusion, aeronautics, soil dynamics and other areas where memory-dependent derivative and phase delays are significant.Originality/valueIn a variety of technical and geophysical scenarios, wave propagation in an elastic/piezothermoelastic medium with varying magnetic fields, initial stress, temperature, porosity, etc., gives important information regarding the presence of new and modified waves.

Section: Basic Equationsmentioning

confidence: 99%

Section: Energy Ratiosmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The effect of memory and stiffness on energy ratios at the interface of distinct media

Barak

et al. 2023

MMMS

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“…In recent years, piezoelectric materials have grown in popularity for dynamic sensing, actuation and active structural and mechanical systems control. Kumar and Sharma (2017) discussed the reflection of plane waves at the interface of elastic/piezothermoelastic solid half-spaces with fractional-order derivatives. The nonlocal generalized elasticity theory for piezothermoelastic materials with thermal characteristics was established by Li and He (2018).…”

Section: Introductionmentioning

confidence: 99%

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

Gupta

et al. 2022

HFF

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.

“…Chandrasekharaiah [15] extended the physical law of piezothermoelectricity. Recently, Kumar and Sharma [16], [17], [18], and Guha et al [19] studied the various reflection problems at the interface of piezothermoelastic medium under different piezothermoelasticity theories. Several researchers, Vashishth and Sukhija [20], Barak et al [21], and Kumar et al [22] [23] [24], verified the energy balance law of incident, reflected and transmitted waves at the interface of various media.…”

Section: Introductionmentioning

confidence: 99%

Behavior of Energy Ratios Under Higher-order Mdd at Distinct Media

Barak

et al. 2022

Preprint

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This paper presents a novel mathematical model of orthotropic piezothermoelastic half-space under the reference of three-phase lags heat transfer law with higher-order memory-dependent derivatives (HPS) underlying a thermoelastic half-space (TS). Thermoelastic plane waves involving longitudinal P wave, thermal T wave, or transversal SV wave propagating via TS medium and hitting at the interface x3 =0 results in three waves reflected in the TS medium and four waves transmitted in the HPS medium. Amplitude ratios are determined at the boundary interface x3 =0 and used to obtain the energy ratios of various reflected and transmitted waves. It is noticed that these ratios are under the impact of phase lags, higher order MDD parameters, frequency of the waves, and other physical parameters involved in the model. The balance law of energy conservation is justified. Graphically illustrated the impact of higher order memory-dependent derivatives parameters on the energy ratios variation with the incidence angle. Some unique cases of interest are also deduced