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http://dx.doi.org/10.12941/jksiam.2021.25.117

FRACTIONAL ORDER THERMOELASTIC PROBLEM FOR FINITE PIEZOELECTRIC ROD SUBJECTED TO DIFFERENT TYPES OF THERMAL LOADING - DIRECT APPROACH  

GAIKWAD, KISHOR R. (PG DEPARTMENT OF MATHEMATICS, NES, SCIENCE COLLEGE)
BHANDWALKAR, VIDHYA G. (PG DEPARTMENT OF MATHEMATICS, NES, SCIENCE COLLEGE)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.25, no.3, 2021 , pp. 117-131 More about this Journal
Abstract
The problem of generalized thermoelasticity of two-temperature for finite piezoelectric rod will be modified by applying three different types of heating applications namely, thermal shock, ramp-type heating and harmonically vary heating. The solutions will be derived with direct approach by the application of Laplace transform and the Caputo-Fabrizio fractional order derivative. The inverse Laplace transforms are numerically evaluated with the help of a method formulated on Fourier series expansion. The results obtained for the conductive temperature, the dynamical temperature, the displacement, the stress and the strain distributions have represented graphically using MATLAB.
Keywords
Caputo-Fabrizio fractional order derivative; Piezothermoelasticity; Ramp-type heating; Harmonically Varying temperature; Thermal loading;
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Times Cited By KSCI : 1  (Citation Analysis)
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