Showing papers on "Thermoelastic damping published in 2021"
TL;DR: In this paper, a hybrid-honeycomb structure with enhanced stiffness is proposed, which consists of two merged hexagonal honeycombs, and analytical expressions of the effective Young's modulus, Poisson's ratio, and thermal expansion coefficient are given.
68 citations
TL;DR: This work numerically considers a thermoelastic problem where the thermal law is modeled using the so-called Moore–Gibson–Thompson equation, and a fully discrete algorithm is introduced and a discrete stability property is proved.
53 citations
TL;DR: In this paper, the phase-field regularized cohesive zone model (PF-CZM) was extended with a rational degradation function dependent on elasticity and fracture related material parameters, to solve the three-field (displacements, phase field and temperature) coupling equations altogether.
52 citations
TL;DR: In this article, a computational analysis is conducted to study a magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium, where the medium is subjected to a periodic heat flow in the presence of a continuous longitude magnetic field.
Abstract: In this investigation, a computational analysis is conducted to study a magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium. The medium is subjected to a periodic heat flow in the presence of a continuous longitude magnetic field. Based on Moore–Gibson–Thompson equation, a new generalized model has been investigated to address the considered problem. The introduced model can be formulated by combining the Green–Naghdi Type III and Lord–Shulman models. Eringen’s non-local theory has also been applied to demonstrate the effect of thermoelastic materials which depends on small scale. Some special cases as well as previous thermoelasticity models are deduced from the presented approach. In the domain of the Laplace transform, the system of equations is expressed and the problem is solved using state space method. The converted physical expressions are numerically reversed by Zakian’s computational algorithm. The analysis indicates the significant influence on field variables of non-local modulus and magnetic field with larger values. Moreover, with the established literature, the numerical results are satisfactorily examined.
45 citations
12 Jan 2021
TL;DR: In this paper, the authors address a problem of thermoviscoelasticity for the analysis of the transition temperature and thermal stresses in an infinitely circular annular cylinder, where the inner...
Abstract: The present contribution aims to address a problem of thermoviscoelasticity for the analysis of the transition temperature and thermal stresses in an infinitely circular annular cylinder. The inner...
45 citations
TL;DR: In this article, small amounts of carbon nanotubes (CNTs) were added to the face sheets of sandwich structures to improve their thermo-mechanical responses.
Abstract: Adding small amounts of carbon nanotubes (CNTs) into the face sheets of sandwich structures can significantly improve their thermo-mechanical responses. However, the formation of CNT clusters, espe...
44 citations
TL;DR: In this article, the system of equations governing the thermoelastic behavior of a rotating viscoelastic microbeam has been derived based on the non-Fourier heat conduction model.
38 citations
TL;DR: In this paper, a new model of heat conduction has been constructed based on the theory of generalized thermoelasticity and memory-dependent derivative (MDD) with time delay, by introducing the higher-order Taylor's series expansion of Fourier's law involving MDD with a kernel function.
Abstract: In this investigation, based on the theory of generalized thermoelasticity and memory-dependent derivative (MDD) with time delay, a new model of heat conduction has been constructed. The new model has been incorporated by introducing the higher-order Taylor’s series expansion of Fourier’s law involving MDD with a kernel function. The derived model is an extension and generalization of many models presented in this field which can be obtained as special cases. The thermoelastic vibrations in an infinite medium that is exposed to an instant heat source and a concentrated magnetic field have been discussed based on the formulation model. The solutions and the numerical results of the studied fields are obtained by using the Laplace transform technique. Some comparisons with figures and tables have been presented to examine the effects of various choices for kernel function, time delay and the higher order of derivatives in all fields studied.
36 citations
TL;DR: In this article, a topology optimization framework is developed to synthesize high-strength spatially periodic metamaterials possessing unique thermoelastic properties, and a thermal and mechanical stress analysis formulation based on homogenization theory is developed and used in a regional scaled aggregation stress constraint method.
34 citations
TL;DR: In this article, the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory is considered.
Abstract: We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. Second, we consider the case of a rigid solid and show the existence and the exponential decay of solutions. Third, we consider the thermoelastic case and obtain the existence and the stability of the solutions. Exponential decay of solutions in the one-dimensional case is also recalled.
26 citations
TL;DR: In this article, an analytical expression for the thermoelastic damping (TED) in electrically actuated microbeams based on the nonclassical continuum theory of the modified couple stress (MSC) was presented.
Abstract: This paper presents an analytical expression for the thermoelastic damping (TED) in electrically actuated microbeams based on the nonclassical continuum theory of the modified couple stress (MSC) a...
TL;DR: In this article, a novel TED model is proposed to estimate the impact of both mechanical and thermal small scale effects on TED of nano-resonators, which can reduce to the classical TED model.
TL;DR: The main concern of as mentioned in this paper 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).
Abstract: 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 ...
TL;DR: In this article, photo-thermal-elastic interactions in an unbounded semiconductor media containing a cylindrical hole under a hyperbolic two-temperature model were investigated using the coupled theory of thermoelasticity and plasma waves.
Abstract: Photo-thermal-elastic interactions in an unbounded semiconductor media containing a cylindrical hole under a hyperbolic two-temperature are investigated using the coupled theory of thermo-elasticity and plasma waves. A new hyperbolic two-temperature model is used to study this problem. The internal surface of the cylindrical cavity is loaded by exponentially decaying pulse boundary heat flux and traction free. The Laplace transform technique are presented to obtain the exact solutions of this problem in the transformed domains by the eigenvalue approach. The inverse of Laplace transforms was numerically carried. The results show that the analytical solutions can overcome the mathematical problems to analyzes this problem. According to the numerical outcomes, the hyperbolic two-temperature thermoelastic theory offers finite velocity of the mechanical waves and thermal waves propagations.
TL;DR: In this article, the primary wave and shear reflection and refraction during solid-liquid media under three thermoelastic theories and an electromagnetic field with an antenna array was investigated. But the authors focused only on the SV-wave and the p-wave.
Abstract: In this paper, we investigated the primary wave (p-wave) and shear (SV-wave) reflection and refraction during solid–liquid media under three thermoelastic theories and electromagnetic field with an...
TL;DR: In this article, the authors investigated coupled thermoelastic forced vibration and the heat transfer process of an axially moving micro/nano-beam in micro-electro-mechanical systems.
TL;DR: In this article, the authors derived analytical models of thermoelastic damping (TED) and frequency shift for the rectangular cross-section micro/nano-ring resonators.
Abstract: Considering the heat-conduction dimension (HCD) and adopting the dual-phase-lagging (DPL) non-Fourier theory, analytical models of thermoelastic damping (TED) and frequency shift for the rectangular cross-section micro/nano-ring resonators are first derived in the series form in this work. In the modeling procedure, one of emphases is the estimation and solution of the governing equation of coupled thermoelasticity considering one-dimensional (1D) and two-dimensional (2D) heat conduction. The orthogonality-integration method of the trial function is used to solve the temperature profile functions. The TED expressions obtained by the energy-definition approach and the complex-frequency approach are both demonstrated. The previous models are compared with the present proposed models. The influences of the dual-phase-lagging non-Fourier (DPL-NF) effect, HCD, the material selection, and the ratio of dual-phase-lagging times on TED are investigated. The dependences of TED and the frequency shift on the geometrical parameters involving the mean radius and radial depth of the ring, and the modal order are also examined. The results show that TED spectra and frequency shift are significantly affected by the HCD and the DPL-NF effect.
TL;DR: The boundary stabilization problem of a star-shaped type II thermoelastic system is considered, where there is a nonuniform bounded disturbance at the control end and a time-varying extended state observer is proposed to estimate and cancel the disturbance, largely removing the uncertainties and simplifying the feedback control law design.
Abstract: The boundary stabilization problem of a star-shaped type II thermoelastic system is considered, where there is a nonuniform bounded disturbance at the control end. A time-varying extended state observer is proposed to estimate and cancel the disturbance, thereby largely removing the uncertainties and simplifying the feedback control law design. The exponential stability is shown for the extended state observer, so are the well-posedness properties of the closed-loop system, all based on the linear operator semigroup theory. Finally, it is shown that the disturbances can be attenuated and the resulting closed-loop system can exponentially approach zero. Numerical simulations illustrate the effectiveness of the proposed control strategy.
TL;DR: In this paper, the authors considered a mixed boundary-initial value problem representing natural stress-heat-flux disturbance inside an isotropic and homogeneous medium, and derived the domain of influence theorem based on this identity under the Moore-Gibson-Thompson (MGT) thermoelasticity theory.
Abstract: The present paper is focused on the Moore–Gibson–Thompson (MGT) thermoelasticity theory. The MGT thermoelasticity theory is a generalized form of the Lord–Shulman (LS) thermoelasticity theory as well as the Green-Naghdi thermoelasticity theory with energy dissipation (GN-III). The present work is aimed at establishing the domain of influence results in the context of this new thermoelasticity theory. We consider a mixed boundary-initial value problem representing natural stress–heat-flux disturbance inside an isotropic and homogeneous medium. We establish an identity regarding this present problem. Further, we derive the domain of influence theorem based on this identity under the MGT thermoelasticity theory. From this theorem, we conclude that for prescribed bounded support of thermomechanical loading and for a finite time, the disturbance generated by the pair of stress and heat flux vanishes outside a bounded domain. It is also analyzed that the domain of influence relies on the thermoelastic material parameters. We further compare the present domain of influence results with the corresponding results of LS thermoelasticity theory.
TL;DR: In this article, a non-local model for the steady-state thermoelastic analysis of functionally graded materials (FGM) by using peridynamic differential operator is presented. But, the model is not suitable for finite element analysis.
TL;DR: In this paper, the Hall current effect in homogeneous transversely isotropic magneto-thermoelastic (HTIMT) rotating medium with fractional-order heat transfer due to ramp-type heat is investigated.
Abstract: This investigation is focused on the study of Hall current effect in homogeneous transversely isotropic magneto-thermoelastic (HTIMT) rotating medium with fractional-order heat transfer due to ramp-type heat. Investigation of interaction between the strain, thermal and electromagnetic fields becomes a new area of research, which is called magneto-thermoelasticity because of its effective aspects in various domains of science and technology. Laplace and Fourier transform is used for solving field equations. The expressions of temperature, stress components, displacement components, and current density components are computed in the transformed domain. The effects of Hall current, rotation and fractional-order parameter at different values in HTIMT solid are represented graphically.
TL;DR: In this article, a three-dimensional exact solution for temperature and thermoelastic stresses in multilayered anisotropic plates is derived for advanced boundary-value problems with general boundary conditions.
TL;DR: In this paper, the thermal and mechanical vibration properties of functionally graded microbeams were investigated using the generalized dual-phase lag model of thermoelasticity rather than the conventional steady-state Fourier heat conduction.
Abstract: The aim of this article is to investigate the thermal and mechanical vibration properties of functionally graded microbeams The governing system of equations is formulated on the basis of classical Euler–Bernoulli beam model incorporating the generalized dual-phase lag model of thermoelasticity rather than the conventional steady-state Fourier heat conduction In our analysis, it is also assumed that the mechanical and thermal properties such as modulus of elasticity, density and coefficient of thermal conductivity change through the thickness by an exponential law distribution, with the exception of Poisson’s ratio The effects of system parameters on different field quantities have been depicted for initial stress, material gradient index and pulses duration The numerical results are compared with benchmark findings, for the sake of verification Presented results demonstrate the considerable effects of temperature and the material gradients on the dynamic behavior of microscopic structures Finally, a comparison is conducted with the results discussed in the literature to justify the quality of the present technique
TL;DR: In this article, the authors studied the thermoelastic vibration of a viscoelastic microbeam resting on the Winkler foundation using the fractional-order theory. But they did not describe the damping of the microbeam.
Abstract: In the current investigation, the thermoelastic vibration of a viscoelastic microbeam resting on the Winkler foundation is studied using the fractional-order theory. To describe the damping of the ...
TL;DR: In this paper, the size effect is a significant factor for accurate estimation of the thermoelastic damping in microplate/nanoplate resonators, and the actual TED in microstructures/nanostructures is comprehensive.
Abstract: Size effect is a significant factor for accurate estimation of the thermoelastic damping (TED) in microplate/nanoplate resonators. The actual TED in microstructures/nanostructures is comprehensivel...
TL;DR: In this paper, the authors analyzed the thermo-elastic dynamic behavior of simply supported viscoelastic nanobeams of fractional derivative type due to a dynamic strength load.
Abstract: This paper analyzes the thermoelastic dynamic behavior of simply supported viscoelastic nanobeams of fractional derivative type due to a dynamic strength load. The viscoelastic Kelvin–Voigt model w...
TL;DR: In this article, a model of a nanoscale beam of transversely isotropic thermoelastic (TIT) medium with two temperature and with Green-Naghdi (GN) III theory of thermo-elasticity for free vibrations with simply supported boundaries have been examined.
Abstract: In this study, a nanoscale beam of transversely isotropic thermoelastic (TIT) medium with two temperature and with Green–Naghdi (GN) III theory of thermoelasticity for free vibrations with simply supported boundaries have been examined. Euler–Bernoulli (EB) beam theory is used to formulate a mathematical model of the nanoscale beam in a closed form. The lateral deflection, frequency shift, thermal moment and thermoelastic damping have been solved. A program in MATLAB software is developed to find the numerical values for different physical quantities. The lateral deflection, frequency shift, thermal moment and thermoelastic damping for the varying two temperature, different modes, frequency of time harmonic sources, thickness of nano-beam, and material medium of nano-beam has been represented graphically and discussed. The results for some particular cases have also been compared to some earlier work done.
TL;DR: In this paper, the authors investigated the effect of non-Fourier heat conduction (NFHC) effect and the size-dependent effects in the thermal and mechanical fields.
TL;DR: In this article, the assessment of thermoelastic damping in rectangular nanoplates by incorporation of size effect within the constitutive and heat conduction relations is presented, where size effect is considered.
Abstract: The present article pertains to the assessment of thermoelastic damping (TED) in rectangular nanoplates by incorporation of size effect within the constitutive and heat conduction relations. With t...
TL;DR: In this article, the nonlocal generalized thermoelastic theory for the formulation of an FGM microbeam is adopted in order to capture the size-dependent effect and the thermal wave effect.
Abstract: In extreme heat transfer environments, functionally graded materials (FGMs) have aroused great concern due to the excellent thermal shock resistance. With the development of micro-scale devices, the size-dependent effect has become an important issue. However, the classical continuum mechanical model fails on the micro-scale due to the influence of the size-dependent effect. Meanwhile, for thermoelastic behaviors limited to small-scale problems, Fourier’s heat conduction law cannot explain the thermal wave effect. In order to capture the size-dependent effect and the thermal wave effect, the nonlocal generalized thermoelastic theory for the formulation of an FGM microbeam is adopted in the present work. For numerical validation, the transient responses for a simply supported FGM microbeam heated by the ramp-type heating are considered. The governing equations are formulated and solved by employing the Laplace transform techniques. In the numerical results, the effects of the ramp-heating time parameter, the nonlocal parameter, and the power-law index on the considered physical quantities are presented and discussed in detail.