Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity
Xiong Chunbao,Guo Ying +1 more
TLDR
In this article, a one-dimensional generalized magnetothermoelastic problem of a thermo-elastic rod with finite length is investigated in the context of the fractional order thermo elasticity.Abstract:
A one-dimensional generalized magnetothermoelastic problem of a thermoelastic rod with finite length is investigated in the context of the fractional order thermoelasticity. The rod with variable properties, which are temperature-dependent, is fixed at both ends and placed in an initial magnetic field, and the rod is subjected to a moving heat source along the axial direction. The governing equations of the problem in the fractional order thermoelasticity are formulated and solved by means of Laplace transform in tandem with its numerical inversion. The distributions of the nondimensional temperature, displacement, and stress in the rod are obtained and illustrated graphically. The effects of the temperature-dependent properties, the velocity of the moving heat source, the fractional order parameter, and so forth on the considered variables are concerned and discussed in detail, and the results show that they significantly influence the variations of the considered variables.read more
Citations
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Effect of rotation and gravity on the reflection of P-waves from thermo-magneto-microstretch medium in the context of three phase lag model with initial stress
TL;DR: In this paper, the linear theory of the thermoelasticity has been employed to study the effect the reflection of plane harmonic waves from a semi-infinite elastic solid under the effect of the magnetic field, rotation, initial stress and gravity.
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Fractional heat conduction in a thin hollow circular disk and associated thermal deflection
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Investigation on the dynamic responses of a generalized thermoelastic problem with variable properties and nonlocal effect
Jin-Tao Ma,Tianhu He +1 more
TL;DR: In this article, a finite length thermoelastic rod subjected to a moving heat source is modeled and investigated in generalized thermelasticity, and the corresponding governing equations are first given and then reduced into one-dimensional ones with temperature-dependent properties assumed to be functions of reference temperature.
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Effect of Variable Thermal Conductivity on the Generalized Thermoelasticity Problems in a Fiber-Reinforced Anisotropic Half-Space
TL;DR: In this article, a fiber-reinforced generalized thermoelasticity problem under thermal stress is investigated, with the consideration of the effect of temperature-dependent variable thermal conductivity.
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Thermal vibration in rotating nanobeams with temperature-dependent due to exposure to laser irradiation
TL;DR: In this paper , a new mathematical model and governing equations were constructed within the framework of the extended thermoelastic theory with phase delay (DPL) and the Euler-Bernoulli beam theory.
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