Fractional Order Generalized Thermoelastic Problem in a Thick Circular Plate with Periodically Varying Heat Source

Year 2017, , 132 - 138, 31.08.2017

J.j. Tripathi , K.c. Deshmukh J. Verma

https://doi.org/10.5541/eoguijt.336651

Cited By: 3

Abstract

This paper is concerned with fractional order thermoelastic response due
to a heat source whose magnitude varies periodically with time within the
context of generalized thermoelasticity with one relaxation time. Traction free
boundary conditions are considered and the thick circular plate is subjected to
a given axisymmetric temperature distribution. Integral transform technique is
used to derive the solution in the transformed domain. Laplace transforms are
inverted using a numerical scheme. Mathematical model is prepared for Copper
material and results for temperature, displacement and stress distributions are
computed and represented graphically.

Keywords

Fractional order; thermoelastic; thick plate; relaxation time; heat source

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