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

Abstract

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.

Energy ratio response at the interface of elastic and dual-porous thermoelastic half-spaces

“…These investigations provide valuable insights into how these composite materials respond to varying conditions, thereby advancing comprehension of their mechanical characteristics and the propagation of waves within them. Gupta and his coworker [30][31][32][33][34][35][36][37] investigated various wave propagation problems in elastic, thermoelastic and piezoelectric materials.…”

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

“…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

“…thermoelastic/orthotropic piezothermoelastic). Barak et al (2023) analysed the partitioning of incident energy at the interface of elastic/orthotropic piezothermoelastic solids.…”

“…thermoelastic/orthotropic piezothermoelastic). Barak et al (2023) analysed the partitioning of incident energy at the interface of elastic/orthotropic piezothermoelastic solids. Ba et al (2011) developed the double-porosity (DP) theory by combining Biot's poroelasticity theory with Rayleigh's theory, which considers the embedded relationship between two types of pores.…”