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  Volume 3, Number 3, August 2021 , pages 241-262
DOI: https://doi.org/10.12989/cme.2021.3.3.241
 
 open access

Effect of two-temperature in an orthotropic thermoelastic media with fractional order heat transfer
Parveen Lata and Himanshi Himanshi

 
Abstract
    In this article, we studied the effect of two-temperature in a two-dimensional orthotropic thermoelastic media with fractional order heat transfer in generalized thermoelasticity with three-phase-lags due to thermomechanical sources. The boundary of the surface is subjected to linearly distributed and concentrated loads (mechanical and thermal source). The solution of the problem is obtained with the help of Laplace and Fourier transform techniques. The expressions for displacement components, stress components and conductive temperature are derived in transformed domain. Numerical inversion technique is used to obtain the results in physical domain. The effect of two-temperature on all the physical quantities has been depicted with the help graphs. Some special cases are also discussed in the present investigation.
 
Key Words
    concentrated and linearly distributed loads; Fourier transform; fractional calculus; laplace transform; orthotropic; two-temperature, three-phase-lags
 
Address
Parveen Lata and Himanshi Himanshi: Department of Basic and Applied Sciences Punjabi University Patiala, Punjab India
 

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