Energy analysis at the interface of piezo/thermoelastic half spaces

Abstract

Purpose This paper aims to study the energy ratios of plane waves on an interface of nonlocal thermoelastic halfspace (NTS) and nonlocal orthotropic piezothermoelastic half-space (NOPS). Design/methodology/approach The memory-dependent derivatives (MDDs) approach with a hyperbolic two-temperature (HTT), three-phase lag theory is used here to study how the energy ratios change at the interface with the angle of incidence. Findings Plane waves that travel through NTS and hit the interface as a longitudinal wave, a thermal wave, or a transversal wave send four waves into the NOPS medium and three waves back into the NTS medium. The amplitude ratios of the different waves that are reflected and transmitted are used to calculate the energy ratios of the waves. It is observed that these ratios are affected by the HTT, nonlocal and MDD parameters. Research limitations/implications The energy ratios correspond to four distinct models; nonlocal HTT with memory, nonlocal HTT without memory, local HTT with memory and nonlocal classical-two-temperature with memory concerning the angle of incidence from 0 degree to 90 degree. Practical implications This model applies to several fields, including earthquake engineering, soil dynamics, high-energy particle physics, nuclear fusion, aeronautics and other fields where nonlocality, MDD and conductive temperature play an important role. Originality/value The authors produced the submitted document entirely on their initiative, with equal contributions from all of them.

Reflection at the free surface of the orthotropic piezo-hygro-thermo-elastic medium

“…Following Sih et al (1986), Yadav et al (2022) and Gupta et al (2023bGupta et al ( , 2023a, the cadmium selenide material constants and hygro parameters have been considered, as shown in Table 1.…”

“…Zenkour and Alghanmi (2021) analyzed the stress and deformation of sandwich plates with a functionally graded core and piezoelectric material faces with electro-mechanical-hygro-thermo sinusoidal loadings. The energy ratio at various types of interfaces, including fluid, elastic, semiconductor and piezo-thermo-elastic, has been studied by Yadav (2021aYadav ( , 2021bYadav ( , 2021c, Gupta and his team (Gupta et al, 2023b;Barak et al, 2023a;Gupta et al, 2023a;Barak et al, 2023b;Barak and Gupta, 2023;Gupta and Barak, 2023) and analyzed the effects of moisture, magnetic fields, phase lags, memory-dependent and fractional derivatives.…”

Inhomogeneous waves propagation in double-porosity thermoelastic media

“…Pathania et al (2022) studied the plane wave propagation in a homogeneous isotropic rotating thermoelastic solid with DP using the LS theory of thermoelasticity. Gupta et al (2023) examined the energy characteristics at the interface of two dissimilar non-local thermoelastic solids (i.e. thermoelastic/orthotropic piezothermoelastic).…”

“…In exploration geophysics and seismology, seismic techniques are used to examine the fluid content of underground reservoirs through the analysis of reflected wave signals. The behaviour of reflection coefficients at the stress-free surface of various porous media has been extensively studied, with notable contributions from researchers such as Sharma and Kumar (2011), Kumar et al (2018), Wang et al (2021), Kumari et al (2022a, 2022b), Kumari and Kumar (2022), Gupta et al (2023) and Kumar et al (2022). These investigations have contributed significantly to understanding the characteristics of reflection phenomena and their applications in geophysics.…”

Analysis of nonlocal effects on plane waves in a transversely isotropic visco-thermoelastic medium with variable thermal conductivity

“…Nonlocal thermodynamical disturbances in a rotating magneto-thermoelastic solid medium with temperature-dependent properties were analysed by Sheoran et al (2022). On an interface of nonlocal thermoelastic half-space and nonlocal orthotropic piezo-thermoelastic half-space, Gupta et al (2023) presented the energy analysis of plane waves.…”