Fractional order theory of thermoelasticity

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WebThe theory of thermal stresses based on the heat conduction equation with the Caputo time-fractional derivative is used by Povstenko [ 7] to investigate thermal stresses in an … WebABSTRACT. In this article, we consider the thermo-hydro-mechanical (THM) problem of a poroelastic half-space soil medium subjected to time harmonic loads consisting of both normal and thermal loads in the context of the fractional order theory of thermoelasticity with one relaxation time.

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WebJan 15, 2010 · In this work, a new theory of thermoelasticity is derived using the methodology of fractional calculus. The theories of coupled thermoelasticity and of generalized thermoelasticity with one relaxation time follow as limit cases. A … WebNov 11, 2024 · In this manuscript, the generalized micropolar theory of thermoelasticity is modified using fractional calculus. The revised equations are used to solve a problem … cheryl bush greenbrier tn facebook

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WebOct 1, 2015 · The theory of generalized thermoelasticity with fractional order strain is employed to study the problem of one-dimensional disturbances in a viscoelastic solid in the presence of a moving internal heat source and subjected to a mechanical load. The problem is in the context of Green-Naghdi theory of thermoelasticity with energy dissipation. … WebThis paper studies operator and fractional order nonlinear robust control for a spiral counter-flow heat exchanger with uncertainties and disturbances. First, preliminary concepts are presented concerning fractional order derivative and calculus, fractional order operator theory. Then, the problem statement about nonlinear fractional order … WebThe transient response of a functionally graded piezoelectric rod subjected to a moving heat source under fractional order theory of thermoelasticity Yongbin Ma Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou, P.R. China; School of Science, Lanzhou University ... cheryl bushman

$Theory of generalized thermoelasticity with fractional …$

Fractional order theory of thermoelasticity Request PDF

WebNov 1, 2024 · Fractional thermoelastic models have been formulated from classical thermoelasticity or extended thermoelasticity, i.e. Lord-Shulman or Green-Naghdi theory. It seems different authors have different physical pictures on such topic, for instance, there exist several approaches from Lord-Shulman model to fractional order ones. WebApr 2, 2024 · ized thermoelasticity theories to fractional order generalized thermoelasticity by Bachher et al. [ 33 , 34 ], Povstenko [ 35 , 36 ], Sherief [ 37 ], Youssef [ 38 ], Ezzat and his co-workers [ 39 ... cheryl bush facebookWebJan 15, 2010 · The collaboration between thermoelasticity and fractionalorder calculus has been fabricated by Povstenko [26,27]. Afterwards, different versions of generalized … flights to falkland islands

"WebBased on the fractional-order thermoelastic theory, the dynamic response of a finite quasicrystal (QC) rod fixed at both ends and subjected to a moving heat source is analyzed. The governing equations of one-dimensional (1D) hexagonal QC rod are derived. " - Fractional order theory of thermoelasticity

Fractional order theory of thermoelasticity

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WebIn this work, fractional order theory of thermoelasticity is applied to a bilayered structure being in imperfect thermal and mechanical contact. The model is subjected to a sudden heating at the traction-free end, assumed to be undisturbed at infinity. The heat conduction in each medium is described by the time-fractional heat conduction ... WebJan 17, 2024 · Using generalized thermoelasticity theory with fractional order heat conduction, the problem has been solved by a normal mode analysis. The effect of hydrostatic initial stresses and fractional order parameter is shown graphically on the distributions of the temperature, displacement and thermal stress components.

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WebJan 2, 2024 · Although small-scale effect or thermal stress significantly impact the mechanical properties of nanobeams, their combined effects and the temperature dependence of the elastic parameters have yet to attract the attention of researchers. In the present paper, we propose a new nonlocal nonlinear Euler–Bernoulli theory to … WebSep 26, 2024 · This paper deals with the propagation of the plane wave in a nonlocal magneto-thermoelastic semiconductor solid with rotation. The fractional-order three-phase lag theory of thermoelasticity with two temperatures has been applied. When a longitudinal wave is incident on the surface z = 0, four types of reflected coupled …

WebMar 19, 2010 · J. Heat Transfer. Jun 2010, 132 (6): 061301 (7 pages) In this work, a new model of thermoelasticity theory has been constructed in the context of a new …

WebAbstract: Based on the fractional order generalized thermoelastic coupling theory proposed by Sherief et al, the thermoelastic problem of 2D fiber-reinforced elastomers … WebThen, thermoelastic model of fractional order is formulated for piezoelastic materials by combining the unified heat conduction law and the governing equations of elastic and electric fields. Numerically, the present theoretical model is applied to study the transient responses of piezoelectric medium that is subjected to a thermal shock.

WebAbstract: Based on the fractional order generalized thermoelastic coupling theory proposed by Sherief et al, the thermoelastic problem of 2D fiber-reinforced elastomers under thermal shock was studied. In view of the effects of gravity on 2D fiber-reinforced linearly thermoelastic isotropic media, the governing equations were established.

WebApr 11, 2024 · In this work, the fractional-order generalized thermoelasticity theory is used to investigate the dynamic thermal and elastic behavior of a bilayer piezoelectric–thermoelastic plate with temperature-dependent properties. The thermal contact resistance is implemented to describe the interfacial thermal wave propagation. flights to fairy bower beachWebOct 29, 2014 · A new theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of dual-phase-lag heat conduction with … cheryl bush johnstown ohioWebically estimated in view of the role of fractional calculus in engineering problems. A quasi-static uncoupled theory of thermoelasticity based on a fractional heat conduction equation was introduced by Povstenko [25]. Many appli-cations have been solved in the context of the fractional order generalized thermoelasticity by Povstenko [26], who flights to fairbanks alaska from laxWebJan 20, 2015 · Abstract. In this work, a new theory of thermoelasticity has been derived based on fractional order of strain (fraction order … flights to faisalabad from ukWebJan 25, 2024 · Abstract In this work we solve a problem of a solid infinitely long cylinder composed of three layers of different materials. The current problem occurs in the … cheryl bush mdWebIn this work, a quasi-static uncoupled theory of thermoelasticity based on time fractional heat conduction equation is used to model a thin circular plate, whose lower surface is maintained at zero temperature whereas the upper surface is insulated. The edge of the circular plate is fixed and clamped. cheryl bushnellWebAug 13, 2024 · thermoelasticity based on Fourier type heat conduction breaks down. In such cases, one needs to use a generalized thermoelasticity theory based on an anomalous heat conduction model involving time fractional (non- integer order) derivatives. Povstenko (2005) proposed a quasi-static uncoupled theory of thermoelasticity based … cheryl busslinger