Abhik Sur

Sister Nivedita University · Mathematics

This research tackles a critical knowledge gap in Rayleigh surface wave propagation. It offers a comprehensive analysis that surpasses previous limitations. A size-dependent micropolar medium with unique void distributions and thermal effects is considered in this work. The constitutive relations and equations of motion for a nonlocal micropolar th...

The present contribution enlightens a viable simulation which describes the photothermoelastic interactions for a two-dimensional thermoelastic transversely isotropic thick semiconducting plate due to the presence of a varying heat source. The upper surface of the semiconductor is traction-free, subjected to prescribed surface temperature and presc...

The current investigation address a novel generalized elasto‐thermodiffusion model for a thermoelastic porous half‐space incorporating the nonlocal stress theory proposed by Eringen. Modeling of the problem is performed by adopting Moore‐Gibson‐Thompson (MGT) thermoelasticity theory defined in an integral form of a common derivative on a slipping i...

The present analysis aims to develop a new mathematical model describing hydro-mechanical interaction based on the nonlocal theory proposed by Eringen for a poroelastic half-space. The bounding plane of the porous medium is subjected to prescribed mechanical and thermal loading. The heat transport law for the problem is governed within a sliding in...

This paper is devoted to studying the photo-thermoelastic response of homogeneous and isotropic finite thin slim strip that is exposed to a moving heat source, where both the ends are fixed. The novel thermo-viscoelastic theory is associated with the nonsingular relaxation kernel “Mittag-Leffler relaxation function”. In the context of memory-depend...

The aim of this study is to characterize the micro-structural effects for the thermoelastic interactions in a moving finite medium due to a time-dependent laser heat source. The heat transport equation has been formulated in the context of dual-phase-lag (DPL) model of generalized thermoelasticity. The medium is subjected to a time-dependent laser...

The present article motivates great interests on the constitutive modeling of thermoelastic coupling behavior in a transversely isotropic thick plate in the context of a new theory of ultrafast heating condition, known as Moore–Gibson–Thompson (MGT) theory. Corresponding to this new theory, the heat transport law is formulated in an integral form o...

The current investigation aims at the derivation of the basic equations of nonlocal elasticity using the Green’s function technique, in which the analytical expressions have been obtained using contour integration. An investigation of the photo-thermoelastic interaction is analyzed for an infinite semi-conductor with a cylindrical cavity. The surfa...

The present work is devoted to the derivation of fundamental equations in generalized thermoelastic diffusion theory. The main aim is to establish a size-dependent model with the consideration of spatial nonlocal effects of concentration and strain fields. The heat transport equation for the present problem is considered in the context of Moore–Gib...

The excessive deformation of deep-sea sediments caused by the vibration of the mining machine will adversely affect the efficiency and safety of mining. This paper reports the study of coupled thermo-hydro-mechanical problem for saturated porous deep-sea sediments, subjected to the vibration of the mining vehicle. Based on nonlocal Moore–Gibson–Tho...

This paper is concerned with the influence of memory-dependent heat transport law on rotating thermoelastic medium with voids via three-phase-lag. The entire pervious medium is rotating with a invariant angular haste, where the bounding airplane is subordinated to a thermal shock and is free of tractions. By employing the normal mode analysis, the...

The primary focus of the present contribution is to develop a new system of differential equations describing the nonlocal thermoelasticity theory. The problem deals with the thermoelastic interaction in a nonhomogeneous thermoelastic layer induced by absorbing penetrating laser radiation throughout its volume. The heat conduction equation has been...

This paper presents a comprehensive study on developing a novel mathematical model of generalized thermoelasticity to investigate the transient phenomena for an infinite thermoelastic half-space under the action of ramp-type thermal loading and due to the influence of a gravitational field. The bounding plane of the half-space is subjected to rough...

The main concern of this article is to deal with the thermoelastic interaction in a functionally graded thermoelastic rod being enlightened by the memory-dependent derivative. This article investigates the transient phenomena due to the influence of an induced magnetic field of constant intensity and due to the presence of a moving heat source of c...

The vibration analysis of elastic medium is very important along with the miniaturization of the device and wide application of ultra-fast lasers, where size effect on heat conduction and elastic deformation increase and classical theory of thermoelastic coupling does not hold any more. Due to these, size-dependent thermoelastic model have been int...

In this retrospective study, the understanding of heat transport and temperature variations on the tissues of the patients with recurrent cervical cancer subjected to chemoradiation or neoadjuvant chemotherapy followed by surgery and radiotherapy has been studied in the light of Caputo-Fabrizio (CF) bio-heat transport law, in the context of Lord-Sh...

The vibration of elastic micro-beam is of major significance due to wide applications of ultra-fast lasers, where size effect on heat conduction and elastic deformation increase and classical theory of thermoelastic coupling does not hold any more. Accordingly, the size-dependent thermoelastic model has been developed to deal with higher-order simp...

The present literature survey examines the thermal interaction due to dual-phase-lag (DPL) heat transfer for a moving finite medium due to the presence of a time-dependent laser heat source. Since, various kinds of shortcomings persist in the power-law distribution, the heat transport equation for the present problem has been defined in an integral...

In the application of pulsed laser heating, such as laser hardening of metallic surfaces, conduction limited process is the dominant mechanism during the laser–workpiece interaction. As a consequence, time unsteady analysis of this problem becomes necessary. The present study examines the effect of ultra-short-pulsed laser heating in coupled thermo...

The present analysis reports the Kelvin–Voigt-type magnetothermo-viscoelastic interactions in a thermally conducting unbounded half-space whose surface is subjected to time-harmonic thermal source in the context of micropolar thermoelasticity, being enlightened by memory-dependent derivative (MDD) in the context of three-phase (3P) lag model. The b...

This present work is devoted to investigate the transient phenomena for a novel mathematical model of elasto-thermodiffusion in an isotropic three-dimensional thermoelastic medium subjected to permeating gas induced by a rectangular thermal pulse, where the heat conduction equation is defined in an integral form of a common derivative involving a n...

The objective of the present study is to formulate the bio-heat model to study the variations of temperature profile and thermal damages within a spherical living tissue subjected to a thermal therapy, whose outer surface is thermally insulated. The heat conduction equation is formulated in the context of convolution-type Dual-phase (DP) lag memory...

The present article is aimed at studying the effect of an induced magnetic field in an initially stressed homogeneous, isotropic, thermoelastic half-space. The corresponding mathematical modeling has been formulated in the context the memory-dependent heat transport equation in the context of three-phase lag model of generalized thermoelasticity in...

The analysis of fracture is very important along with the miniaturization of the device and wide application of ultra-fast lasers, where size effect on heat conduction and elastic deformation increase and classical theory of thermoelastic coupling does not hold any more. Due to these, size-dependent thermoelastic model have been introduced for high...

This article constructs a new model of nonlocal thermoelasticity which resolves a dynamical problem of a homogeneous, isotropic infinite space weakened by a finite linear mode I crack. The boundary of the crack is being subjected to a prescribed temperature distribution and stress. In the context of three-phase lag model of generalized thermoelasti...

In the present analysis, the bio-heat equation has been studied in the context of memory responses which is defined in the form of convolution having kernels as power functions. The heat transport equation for this problem involving the memory-dependent derivative on a slipping interval in the context of Dual-phase (DP) lag model, which is used to...

Enlightened by the Caputo fractional derivative, the present study deals with a novel mathematical model of elasto-thermodiffusion to investigate the transient phenomena for an isotropic three-dimensional thermoelastic medium subjected to permeating gas induced by a rectangular thermal pulse, where the heat conduction equation is defined in an inte...

In the present analysis, the non-local behavior during thermal lagging is studied to accommodate the effect of the thermomass for a piezoelastic half-space due to the influence of magnetic field in the context of dual-phase-lag model of generalized thermoelasticity, defined in an integral form of a common derivative on a slipping interval. Simultan...

Due to the shortcomings of power law distributions in the heat transfer laws of fractional calculus, some other forms of derivatives with few other kernel functions have been proposed. This literature survey focuses on the mathematical model of thermo-viscoelasticity which investigates the transient phenomena in a three-dimensional thermoelastic me...

This study proposes a computationally efficient approach about the dynamic response of a homogeneous, transversely isotropic, thermoelastic micro-beam resonator subjected to time-dependent thermal loading. Due to the shortcomings of power law distributions in fractional derivatives, the usage of some other forms of derivatives with few other kernel...

In the present study, in order to provide some flexible and more appropriate tools which can better describe cases of the dynamics with memory effects or of nonlocal phenomena, a novel mathematical model of elasto-thermodiffusion introduced in the context of Taylor's series expansion involving memory-dependent derivative of the function for the dua...

In the present literature, a new set of governing equations for a mathematical model of generalized thermoelasticity in a poroelastic asphalt have been derived in the context of the memory-dependent heat transport equation involving three phase lags in the heat transport law. The present examination overcomes the shortcomings of power law distribut...

This article highlights on the study of coupled plasma, thermal and elastic waves within an orthotropic infinite semiconducting medium in context of photothermal transport process having a spherical cavity under two-temperature theory. The memory-dependent heat transport equation for the present problem is involving the two-temperature dual-phase (...

This article focuses on studying the coupled plasma, thermal, elastic waves of a semiconductor in context of photothermal transport process with cylindrical cavity under the influence of magnetic field subjected to memory-dependent Dual-phase lag heat equation. The surface of the cavity is subjected to exponentially decaying pulse and prescribed ca...

This present study deals with a novel mathematical model of generalized thermoelasticity in a fiber-reinforced, isotropic unbounded thermoelastic solid due to the presence of a continuous line heat source under the influence of magnetic field. The derivative is defined in an integral form of a common derivative on a slipping interval by incorporati...

This present work is devoted to the investigation of the transient phenomena for a fiber-reinforced medium with a cylindrical cavity in the context of the three-phase-lag model of generalized thermoelasticity with a new form of derivative of the Caputo–Fabrizio (CF) type in the heat transport equation, where the medium is under the action of an ind...

Fractional derivative is a widely accepted theory to describe the physical phenomena and the processes with memory effects which is defined in the form of convolution having kernels as power functions. Due to the shortcomings of power-law distributions, some other forms of derivatives with few other kernel functions are proposed. This present study...

The main concern of the present contribution is the thermoelastic interactions of displacements, stress and temperature in a functionally graded unbounded medium due to the influence of gravitational field and an induced magnetic field of constant intensity while the medium is rotating with an uniform angular velocity. The governing equations have...

The present article investigates the elasto-thermodiffusive interactions in a transversely isotropic elastic medium in the context of thermoelasticity with one relaxation time parameter and two relation time parameters. The resulting non-dimensional coupled equations are applied to a specific problem of a half-space in which the surface is free of...

In the present analysis, the bio-heat equation has been studied in the context of memory responses which is defined in the form of convolution having kernels as power functions. The heat transport equation for this problem involving the memory dependent derivative on a slipping interval in the context of Lord-Shulman (LS) model is formulated. The t...

Modeling and understanding heat transport and temperature variations within biological tissues and body organs are key issues in medical thermal therapeutic applications, such as hyperthermia cancer treatment. In the present analysis, the bio-heat equation has been studied in the context of a new formulation using Caputo-Fabrizio (CF) heat transpor...

Fractional derivative is a widely accepted theory to describe the physical phenomena and the processes with memory effects which is defined in the form of convolution-type integrals involving kernels as power functions. Due to the shortcomings of power law distributions, some other forms of derivatives with few other kernel functions have been prop...

The main concern of this article is to deal with the thermoelastic interaction in a thick plate subjected to a moving heat source and being enlightened by memory-dependent derivative (MDD). Due to the shortcomings of power law distributions in Taylor’s series, some other forms of derivatives with few other kernel functions have been proposed. The p...

Modeling and understanding heat transport and temperature variations within biological tissues and body organs are key issues in medical thermal therapeutic applications, such as hyperthermia cancer treatment. In the present analysis, the bioheat equation is studied in the context of memory responses. The heat transport equation for this problem in...

Fractional derivative is a widely accepted theory to describe the physical phenomena and the processes with memory responses which are defined in the form of convolution having kernels as power functions. Due to the shortcomings of power-law distributions, some other forms of derivatives with few other kernel functions are proposed. This present st...

Fractional derivative is a widely accepted theory to describe the physical phenomena and the processes with memory responses which is defined in the form of convolution having kernels as power functions. Due to the shortcomings of power law distributions, some other forms of derivatives with few other kernel functions are proposed. This present stu...

Enlightened by the Caputo fractional derivative, the present study deals with a novel mathematical model of generalized thermoelasticity to investigate the transient phenomena for a piezoelastic half-space due to the influence of a magnetic field in the context of the dual-phase-lag model of generalized thermoelasticity, which is defined in an inte...

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. As a consequence, time unsteady analysis of this problem becomes necessary. The present study examines the effect of ultra-short-pulsed laser heating in the pr...

Enlightened by the Caputo fractional derivative, the present study treats with a novel mathematical model of generalized thermoelasticity to investigate the transient phenomena for a fiber-reinforced hollow cylinder due to the influence of thermal shock and magnetic field in the context of a three-phase-lag model of generalized thermoelasticity, wh...

Enlightened by the Caputo fractional derivative, this study deals with a novel mathematical model of heat transport in a functionally graded thick plate in the context of Taylor’s series expansion involving memory-dependent derivative for the dual-phase-lag (DPL) heat conduction law, which is defined in an integral form of a common derivative with...

Enlightened by the Caputo fractional derivative, the present study deals with a novel mathematical model of elasto-thermodiffusion to investigate the transient phenomena for a spherical shell in the context of two temperature theory based on Lord–Shulman model, which is defined in an integral form of a common derivative on a slipping interval by in...

The present article investigates the thermoelastic interaction in a three-dimensional homogene-ous and isotropic sandwich structure using the dual-phase-lag (DPL) model of generalized ther-moelasticity. The incorporated resulting non-dimensional coupled equations are applied to a specific problem in which a sandwich layer of unidentical homogeneous...

The present article investigates the thermoelastic interaction in a three-dimensional homogeneous and isotropic sandwich structure using the dual-phase-lag (DPL) model of generalized thermoelasticity. The incorporated resulting non-dimensional coupled equations are applied to a specific problem in which a sandwich layer of unidentical homogeneous a...

Enlightened by the Caputo fractional derivative, the present study deals with a novel mathematical model of generalized thermoelasticity to investigate the transient phenomena for a fiber-reinforced thick plate due to the gravitational effects having a heat source, in the context of three-phase-lag model of generalized thermoelasticity, which is de...

The present study deals with a novel mathematical model of thermoelastic interaction in an infinite space introduced in the context of Taylor’s series expansion involving memory-dependent derivative of the function for the Green-Naghdi model III (GNIII) heat conduction law, which is defined in an integral form of a common derivative with a kernel f...

Enlightened by the Caputo fractional derivative, the present study deals with a novel mathematical model of magneto-thermoelasticity to investigate the transient phenomena for a fibre-reinforced thick plate having a heat source in the context of three-phase-lag model of generalized thermoelasticity, which is defined in an integral form of a common...

The present work deals with the investigation of elasto-thermodiffusive interactions in a homogeneous and isotropic half-space under initial hydrostatic stress in which the heat conduction equation is considered the context of threephase-lag model, Green-Naghdi model II (i.e. the model which predicts thermoelasticity without energy dissipation) and...

In the present study, a novel mathematical model of magneto–thermoelasticity has been formulated to investigate the transient phenomena for a fibre–reinforced anisotropic thick plate having a heat source in the context of Green–Naghdi theory of thermoelasticity. The upper surface of the plate is free of traction having a prescribed surface temperat...

In capturing visco-elastic behavior, experimental tests play a fundamental role, since they allow in building up theoretical constitutive laws very useful for simulating their own behavior. In the present contribution, estimation is made to investigate the transient phenomena in a homogeneous isotropic three-dimensional medium whose surface is subj...

The present problem deals with the thermo-elastic interaction of a gold nano-beam resonator induced by ramp-type heating under the two temperature theory of generalized thermoelasticity. The governing equations are constructed in the context of two-temperature three-phase-lag model (2T3P) and two-temperature Lord-Shulman (2TLS) model of generalized...

The aim of the present contribution is the determination of the thermoelastic temperatures, stress, displacement, and strain in an infinite isotropic elastic body with a spherical cavity in the context of the mechanism of the two-temperature generalized thermoelasticity theory (2TT). The two-temperature Lord–Shulman (2TLS) model and two-temperature...

The present paper deals with the problem of thermoelastic interactions in a homogeneous, 16 isotropic three-dimensional medium whose surface suffers a time dependent thermal load17 ing. The problem is treated on the basis of three-phase-lag model and dual-phase-lag 18 model with two temperatures. The medium is assumed to be unstressed initially and...

This article deals with the thermoelastic interaction in a three-dimensional homogeneous and isotropic viscoelastic medium under the Dual-phase-lag model of generalized thermoelasticity. The resulting non-dimensional coupled equations are applied to a specific problem of a halfspace whose surface is traction-free and is subjected to a time-dependen...

The present work deals with the investigation of elasto-thermodiffusive interaction in a three-dimensional homogeneous isotropic medium in the context of Dual-phase-lag model and Lord-Shulman model of generalized thermoelasticity. The resulting non-dimensional coupled equations are applied to a specific problem of a half-space whose surface is trac...

This paper is concerned with the investigation of thermoelastic stresses, displacements and temperature in a functionally graded (i.e., material with spatially varying material properties) space weakened by a finite linear opening Mode-I crack. The crack is subjected to prescribed temperature and stress distribution in the context of Green-Naghdi t...

In this article, a new mathematical model of magneto-thermoelasticity has been constructed to investigate the transient phenomena in the context of a new consideration of heat conduction with fractional order, where the anisotropic fibre-reinforced medium is rotating with an uniform angular velocity. The governing equations for Green-Naghdi theory...

The aim of the present contribution is concerned with the interactions of thermoelastic displacements, temperatures and stresses for the three-phase-lag and Green–Naghdi heat equations in a functionally graded transversely isotropic plate subjected to a spatially varying heat source. The upper surface of the plate is stress free with prescribed sur...

The aim of the present contribution is concerned with the interactions of thermoelastic displacements, temperatures and stresses for the three-phase-lag and Green–Naghdi heat equations in a functionally graded transversely isotropic plate subjected to a spatially varying heat source. The upper surface of the plate is stress free with prescribed sur...

In this article, a new mathematical model of magneto-thermoelasticity has been constructed to investigate the transient phenomena in the context of a new consideration of heat conduction with fractional order, where the anisotropic fibre-reinforced medium is rotating with an uniform angular velocity. The governing equations for Green-Naghdi theory...

This problem deals with the thermo-elastic interaction due to step input of temperature on the stress free boundaries of a homogeneous visco-elastic orthotropic spherical shell in the context of a new consideration of heat conduction with fractional order generalized thermoelasticity. Using the Laplace transformation, the fundamental equations have...

This paper aims at studying the thermo-viscoelastic interaction in a functionally graded, infinite, Kelvin–Voigt-type viscoelastic, thermally conducting medium due to the presence of periodically varying heat sources. Three-phase-lag thermoelastic model, Green–Naghdi model II (i.e. the model which predicts thermoelasticity without energy dissipatio...

This paper deals with the thermoelastic interaction in a Kelvin-Voigt visco-thermoelastic functionally graded medium due to the presence of a periodically varying heat sources. Three-phase lag model and Green-Naghdi models are employed to study the mechanical and thermal relaxation effects. The governing equations are expressed in Laplace-Fourier d...

In this work, a new mathematical model of thermoelasticity theory has been considered in the context of a new consideration of heat conduction with fractional order theory. A functionally graded isotropic unbounded medium is considered subjected to a periodically varying heat source in the context of space-time non-local generalization of three-pha...

In this work, a new mathematical model of thermoelasticity theory has been considered in the context of a new consideration of heat conduction with fractional order theory. A functionally graded isotropic unbounded medium is considered subjected to a periodically varying heat source in the context of space-time non-local generalization of three-pha...

In this paper, a new mathematical model of a Kelvin-Voigt type thermo-visco-elastic, infinite thermally conducting medium has been considered in the context of a new consideration of heat conduction having a non-local fractional order due to the presence of periodically varying heat sources. Three-phase-lag thermoelastic model, Green Naghdi models...

In this work we have investigated the thermoelastic stresses, conductive temperature and thermodynamic temperature in an infinite isotropic elastic body having a spherical cavity using two temperature generalized thermoelasticity theory in the context of 2TLS and 2TDP mod-els.The governing equations of two temperature generalized thermoelasticity t...

The problem deals with the determination of thermoelastic interaction due to the presence of heat source in a functionally graded transversely isotropic plate in the context of the Green-Naghdi and Three-phase-lag models. The heat conduction equation in the context of three-phase-lag model is a hyperbolic-type partial differential equation with fou...

This paper is concerned with the investigation of thermoelastic stresses, displacements and temperature in a functionally graded (i.e., material with spatially varying material properties) space weakened by a finite linear opening Mode-I crack. The crack is subjected to prescribed temperature and stress distribution in the context of Green-Naghdi t...

In this paper, a new theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of heat conduction with fractional orders. The two-temperature Lord–Shulman (2TLS) model and two-temperature Green–Naghdi (2TGN) models of thermoelasticity are combined into a unified formulation using the unified paramet...

This problem deals with the determination of thermo-visco-elastic interaction due to step input temperature on the stress free boundaries of a homogeneous visco-elastic spherical shell in the context of a new consideration of heat conduction with fractional order generalized thermoelasticity with energy dissipation (TEWED (GN-III)) and Three-phase-...