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Thermoelasticity of thin shells based on the time-fractional heat conduction equation

100%
Povstenko Y.
Open Physics
|
2013
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vol. 11
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issue 6
685-690
EN
The time-nonlocal generalizations of Fourier’s law are analyzed and the equations of the generalized thermoelasticity based on the time-fractional heat conduction equation with the Caputo fractional derivative of order 0 < α ≤ 2 are presented. The equations of thermoelasticity of thin shells are obtained under the assumption of linear dependence of temperature on the coordinate normal to the median surface of a shell. The conditions of Newton’s convective heat exchange between a shell and the environment have been assumed. In the particular case of classical heat conduction (α = 1) the obtained equations coincide with those known in the literature.
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Calculation of the longevity of elastomeric structural elements

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Kozub Y., Kozub G.
Teka Commission of Motorization and Power Industry in Agriculture
|
2016
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vol. 16
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issue 2
3
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A two dimensional problem on laser pulse heating in thermoelastic microelongated solid

100%
Ailawalia P., Sachdeva S. K., Pathania D. S.
Archives of Thermodynamics
|
2019
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vol. 40
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issue 2
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