Thermo-mechanical disturbances in a nonlocal rotating elastic material with temperature dependent properties

Abstract

Purpose The purpose of this paper is to study two-dimensional deformations in a nonlocal, homogeneous, isotropic, rotating thermoelastic medium with temperature-dependent properties under the purview of the Green-Naghdi model II of generalized thermoelasticity. The formulation is subjected to a mechanical load. Design/methodology/approach The normal mode analysis technique is adopted to procure the exact solution of the problem. Findings For isothermal and insulated boundaries, discussions have been made to highlight the influences of rotational speed, nonlocality, temperature-dependent properties and time on the physical quantities. Originality/value The exact expressions for the displacement components, stresses and temperature field are obtained in the physical domain. These are also calculated numerically for a magnesium crystal-like material and depicted through graphs to observe the variations of the considered physical quantities. The present study is useful and valuable for the analysis of problems involving mechanical shock, rotational speed, nonlocal parameter, temperature-dependent properties and elastic deformation.

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

“…Sarkar and Tomar (2019) analyzed the propagation of plane waves in a nonlocal thermoelastic solid embedded with voids. The nonlocal heat conduction model is used by Sheoran et al (2020) to study the interactions in a rotating half-space with temperature dependent properties. Eringen (1966) first introduced the term "micropolar elasticity" to predict the behavior of complex materials such as bones, blood, cellular solids and polymers.…”

“…Sarkar and Tomar (2019) analyzed the propagation of plane waves in a nonlocal thermoelastic solid embedded with voids. The nonlocal heat conduction model is used by Sheoran et al (2020) to study the interactions in a rotating half-space with temperature dependent properties.…”

Photothermal excitation of an initially stressed nonlocal semiconducting double porous thermoelastic material under fractional order triple-phase-lag theory

“…Recently, Sarkar et al (2020) have worked on TE interaction problem in a semiconductor based on Lord-Shulman theory with nonlocal elasticity effect. Eringen's nonlocal theory has now become one of the foremost research topics whose benefits are undeniable (Gupta et al, 2022c(Gupta et al, , 2021(Gupta et al, , 2022b(Gupta et al, , 2022aKumar et al, 2020;Sheoran et al, 2021;Tong et al, 2020).…”

Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model

“…Nonlocal impacts on wave propagations in a generalized thermos-elastic half-space were examined by Singh and Rupender [17]. Nonlocal rotating elastic materials with temperature-dependent properties were the subject of research by Sheoran et al [18]. For thermoelastic problems with temperature-dependent thermal conductivity, Luo et al [19] investigated nonlocal thermoelasticity and its application.…”