Showing papers by "Santwana Mukhopadhyay published in 2019"

An investigation on responses of thermoelastic interactions in a generalized thermoelasticity with memory-dependent derivatives inside a thick plate:

Abstract: The present work is carried out under generalized thermoelasticity theory with memory-dependent derivatives. The main purpose of this work is to analyze the thermoelastic interactions inside an infinitely extended thick plate due to axis-symmetric temperature distribution applied at the lower and upper surfaces of the plate under memory-dependent generalized thermoelasticity. The formulation of the problem is done in the context of the theory of thermoelasticity under memory-dependent derivatives with inclusion of time delay parameter τ and kernel functions that are defined in a slipping interval [t−τ,t). The potential function concept along with Laplace and Hankel transform techniques is used to solve the problem. Furthermore, inversion of the Hankel transform technique is used to find the solution in the Laplace transform domain. The final solution in the space–time domain is obtained by employing a numerical method of Laplace inversion. We have also compared the present findings with work which has bee...

A study on generalized thermoelasticity theory based on non-local heat conduction model with dual-phase-lag

Abstract: Non-local continuum theory helps to analyze the influence of all the points of the body at a material point. Involvement of non-local factor, i.e., size effect in heat conduction theory enh...

Analysis of the quality factor of micro-beam resonators based on heat conduction model with a single delay term

Abstract: The present article investigates the quality factor of thermoelastic damping in micro-beam resonator from the standpoint of a very recent thermoelasticity theory proposed by Quintanilla (20...

Galerkin-type solution for the theory of strain and temperature rate-dependent thermoelasticity

Abstract: Ultrafast heating has gained serious attention due to technological advancements in recent years. The thermoelastic process accounting for the finite speed of thermal signals is therefore becoming increasingly important. With the help of extended thermodynamics, Yu et al. (Meccanica 53(10):2543–2554, 2018) have established a thermoelastic model by including the strain rate and temperature rate in the constitutive equations. This model is also an attempt to remove the discontinuity in the displacement field under temperature rate-dependent thermoelasticity theory. The present work seeks to derive the representation of a Galerkin-type solution in the context of this recently proposed model in terms of elementary functions. The representation theorem of the Galerkin-type solution of the system of equations for steady oscillation is also proved. In accordance with this theorem, we finally establish a theorem which expresses the general solution of the system of homogeneous equations of steady oscillation in terms of metaharmonic functions.

Infinite speed behavior of two-temperature Green–Lindsay thermoelasticity theory under temperature-dependent thermal conductivity

Abstract: The present work attempts to analyze the effects of temperature-dependent thermal conductivity on thermoelastic interactions in a medium with a spherical cavity under two-temperature Green–Lindsay thermoelasticity theory. An attempt is made to compare the results with the corresponding results under other three thermoelastic models. The thermal conductivity of the material is assumed to be depending affinely on the conductive temperature. It is assumed that the conductive temperature is prescribed at the stress-free boundary of the spherical cavity. Assuming spherical symmetry motion, the resulting thermoelastic system in one space dimension is solved by using the Kirchhoff transformation, Laplace transform technique and expansion in modified Bessel functions. The paper concludes with numerical results on the solution of the problem for specific parameter choices. Various graphs depict the behavior of the conductive and thermodynamic temperature, the displacement and two nonzero components of stress. A detailed analysis of the results is given by showing the effects of the assumed temperature dependence of the material property. The effect of employing the two-temperature model is discussed in detail. We observe an infinite domain of influence under the two-temperature model as compared to the classical Green–Lindsay model, which we hope will be a useful insight.

Some basic theorems on a recent model of linear thermoelasticity for a homogeneous and isotropic medium

Abstract: This paper investigates a thermoelasticity theory based on the recent heat conduction model proposed by Quintanilla (Mech Res Commun 2011; 38: 355–360). Taylor’s expansion of this model leads to an...

Stochastic thermoelastic interaction under a dual phase-lag model due to random temperature distribution at the boundary of a half-space:

Abstract: In the present work, we discuss the thermoelastic interactions in a half-space in the context of the theory of dual phase-lag thermoelasticity due to stochastic conditions applied at the boundary. ...

Investigation of harmonic plane waves: detailed analysis of recent thermoplastic model with single delay term:

Abstract: This work is concerned with a recent thermoelastic model. We investigate the propagation of plane harmonic waves in the context of this very recently proposed heat conduction model, an exact heat c...