In this article, the constitutive relations and the governing equations are derived for nonlocal thermoelastic solid in the presence of diffusion. The free vibration of a thermoelastic diffusive cy...

Free vibration analysis of a nonlocal thermoelastic hollow cylinder with diffusion

In the application of pulsed laser heating, such as the laser hardening of metallic surfaces, the conduction limited process is the dominant mechanism during the laser-workpiece interaction...

A memory response in the vibration of a microscale beam induced by laser pulse

Reflection of plane waves from the stress-free isothermal and insulated boundaries of a nonlocal thermoelastic solid

Modeling and understanding heat transport and temperature variations within biological tissues and body organs are key issues in medical thermal therapeutic applications, such as hypertherm...

Influence of moving heat source on skin tissue in the context of two-temperature memory-dependent heat transport law

The present article deals with the investigation of the propagation of thermoelastic plane harmonic waves in a nonlocal thermoelastic medium. The Green and Naghdi theory II (without energy ...

Waves in nonlocal thermoelastic solids of type II

The main idea of the present work is to extend Eringen’s theory of nonlocal elasticity to generalized thermoelasticity with dual-phase-lag and voids. Then we study the propagation of time harmonic ...

Waves in dual-phase-lag thermoelastic materials with voids based on Eringen’s nonlocal elasticity

The present study is concerned with the reflection and propagation of thermoelastic harmonic plane waves from the stress-free and isothermal surface of a homogeneous, isotropic thermally conducting elastic half-space in the frame of the modified Green–Lindasy (MGL) theory of generalized thermoelasticity with strain rate proposed by Yu et al (Meccanica 53:2543–2554, 2018) The thermoelastic coupling effect creates two types of coupled longitudinal waves which are dispersive as well as exhibit attenuation Different from the thermoelastic coupling effect, there also exists one independent vertically shear-type (SV-type) wave In contrast to the classical Green–Lindsay (GL) and Lord–Shulman (LS) theories of generalized thermoelasticity, the SV-type wave is not only dispersive in nature but also experiences attenuation Analytical expressions for the amplitude ratios of the reflected thermoelastic waves are determined when a coupled longitudinal wave is made incident on the free surface The paper concludes with the numerical results on the phase speeds and the amplitude ratios for specific parameter choices Various graphs have been plotted to analyze the behavior of these quantities The characteristics of employing the MGL model are discussed by comparing the numerical results obtained for the present model with those obtained in case of the GL and LS models

Modified Green–Lindsay model on the reflection and propagation of thermoelastic plane waves at an isothermal stress-free surface

\n This paper is devoted to study the reflection of thermoelastic plane waves from the thermally insulated stress-free boundary of a homogeneous, isotropic and thermally conducting elastic half-space. A new linear theory of generalized thermoelasticity under heat transfer with memory-dependent derivative (MDD) is employed to address this study. It has been found that three basic waves consisting of two sets of coupled longitudinal waves and one independent vertically shear-type wave may travel with distinct phase speeds. The formulae for various reflection coefficients and their respective energy ratios are determined in case of an incident coupled longitudinal elastic wave at the thermally insulated stress-free boundary of the medium. The results for the reflection coefficients and their respective energy ratios for various values of the angle of incidence are computed numerically and presented graphically for copper-like material and discussed.

Reflection of Thermoelastic Waves From the Insulated Surface of a Solid Half-Space With Time-Delay

In this paper, we investigated the reflection of thermoelastic plane waves from the isothermal stress-free boundary of a homogeneous, isotropic and thermally conducting solid half-space in the cont...

Nihar Sarkar

Papers

Waves in dual-phase-lag thermoelastic materials with voids based on Eringen’s nonlocal elasticity

Waves in nonlocal thermoelastic solids of type II

Modified Green–Lindsay model on the reflection and propagation of thermoelastic plane waves at an isothermal stress-free surface

Reflection of Thermoelastic Waves From the Insulated Surface of a Solid Half-Space With Time-Delay

Reflection of thermoelastic waves from the isothermal boundary of a solid half-space under memory-dependent heat transfer