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.

Citation

Gupta, V., Kumar, R., Kumar, R. and Barak, M.S. (2023), "Energy analysis at the interface of piezo/thermoelastic half spaces", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 6, pp. 2250-2277. https://doi.org/10.1108/HFF-11-2022-0654