Three-phase-lag thermoelastic heat conduction model with higher-order time-fractional derivatives

Abouelregal, Ahmed E.

doi:10.1007/s12648-019-01635-z

Cited by 51 publications

(18 citation statements)

References 45 publications

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“…Cowin and Nunziato [26] introduced linear and nonlinear theories of elastic materials with voids. The linear theory of thermoelastic material with voids was investigated by many researchers including [27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Two temperature theory on a micropolar thermoelastic media with voids under the effect of inclined load via three‐phase‐lag model

Alharbi

2021

Z Angew Math Mech

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The paper aims to investigate the effect of two temperature and inclined load on a micropolar thermoelastic medium with voids problem. The problem will be analyzed by employing the three-phase-lag model (3PHL). Firstly, to obtain the analytical expressions of the desired variables, the normal mode analysis technique is used and the results obtained for parameters such as the change in temperature, stress, non-dimensional displacement, volume fraction field, and micro-rotation of the material are plotted in the graphs. The 3PHL model and Green-Naghdi theory of type III are used to calculate results for various values of two temperature parameter and the angle of inclination. After analysis and assessment of the results, it has been established that the distribution of field qualities is dependent on the two temperature parameter and the inclined load.

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Section: Introductionmentioning

confidence: 99%

Two temperature theory on a micropolar thermoelastic media with voids under the effect of inclined load via three‐phase‐lag model

Alharbi

2021

Z Angew Math Mech

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“…In the constitutive relationship between the temperature gradient and heat flux, two different phase-lags have been introduced. Many efforts were made to overcome the problem of unlimited speeds of heat waves predicted by the classical thermoelasticity theory [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Temperature-Dependent Physical Characteristics of the Rotating Nonlocal Nanobeams Subject to a Varying Heat Source and a Dynamic Load

et al. 2021

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In this article, the influence of thermal conductivity on the dynamics of a rotating nanobeam is established in the context of nonlocal thermoelasticity theory. To this end, the governing equations are derived using generalized heat conduction including phase lags on the basis of the Euler–Bernoulli beam theory. The thermal conductivity of the proposed model linearly changes with temperature and the considered nanobeam is excited with a variable harmonic heat source and exposed to a time-dependent load with exponential decay. The analytic solutions for bending moment, deflection and temperature of rotating nonlocal nanobeams are achieved by means of the Laplace transform procedure. A qualitative study is conducted to justify the soundness of the present analysis while the impact of nonlocal parameter and varying heat source are discussed in detail. It also shows the way in which the variations of physical properties due to temperature changes affect the static and dynamic behavior of rotating nanobeams. It is found that the physical fields strongly depend on the nonlocal parameter, the change of the thermal conductivity, rotation speed and the mechanical loads and, therefore, it is not possible to neglect their effects on the manufacturing process of precise/intelligent machines and devices.

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“…Tzou [65][66][67] considered the influences of infinitesimal interactions in the fast transition operation of a thermal medium within a macroscale framework of two-phase-delay heat conduction (DPL) theory. In a constitutive relationship concerning the heat-wave and temperature changes, two separate phase-lags (one for temperature change and the other for heat-flow vector) were added [68][69][70][71][72][73]. In realistic engineering applications, the elastic bodies like nanobeams are often subject to variable-temperature ambient, and therefore, the variation of temperature fields should considered.…”

Section: Introductionmentioning

confidence: 99%

Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

et al. 2021

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Rotating micromachined beams are one of the most practical devices with several applications from power generation to aerospace industries. Moreover, recent advances in micromachining technology have led to huge interests in fabricating miniature turbines, gyroscopes and microsensors thanks to their high quality/reliability performances. To this end, this article is organized to examine the axial dynamic reaction of a rotating thermoelastic nanobeam under a constantvelocity moving load. Using Eringen's nonlocal elasticity in conjunction with Euler-Bernoulli theory and Hamilton's principle, the governing equations are derived. It is assumed that the nanobeam is affected by thermal load and the boundary condition is simply supported. The Laplace transform approach is employed to solve the partial differential equations. A numerical example is presented to analyze the effects of the nonlocal parameter, rotation speed and velocity of the static moving load on the dynamic behavior of the system. The numerical results are graphically illustrated and analyzed to recognize the variations of field variables. Finally, in some special cases, our results are compared to those reported in the literature to demonstrate the reliability of the current model.

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Three-phase-lag thermoelastic heat conduction model with higher-order time-fractional derivatives

Cited by 51 publications

References 45 publications

Two temperature theory on a micropolar thermoelastic media with voids under the effect of inclined load via three‐phase‐lag model

Two temperature theory on a micropolar thermoelastic media with voids under the effect of inclined load via three‐phase‐lag model

Temperature-Dependent Physical Characteristics of the Rotating Nonlocal Nanobeams Subject to a Varying Heat Source and a Dynamic Load

Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

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