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

• Authors: Yuriy Povstenko
• Languages of publication: EN

Abstracts

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.

Keywords

EN

non-Fourier heat conduction; convective heat exchange; thermoelasticity; fractional calculus; shell theory

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 6
• Pages: 685-690

Dates

published

1 - 6 - 2013

online

9 - 10 - 2013

Contributors

author

Yuriy Povstenko

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Identifiers

DOI

10.2478/s11534-013-0244-y