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Structural Engineering and Mechanics Volume 73, Number 6, March25 2020 , pages 725-735 DOI: https://doi.org/10.12989/sem.2020.73.6.725 |
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Time harmonic interactions in an orthotropic media in the context of fractional order theory of thermoelasticity |
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Parveen Lata and Himanshi Zakhmi
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| Abstract | ||
| The present investigation deals with the thermomechanical interactions in an orthotropic thermoelastic homogeneous body in the context of fractional order theory of thermoelasticity due to time harmonic sources. The application of a time harmonic concentrated and distributed sources has been considered to show the utility of the solution obtained. Assuming the disturbances to be harmonically time dependent, the expressions for displacement components, stress components and temperature change are derived in frequency domain. Numerical inversion technique has been used to determine the results in physical domain. The effect of frequency on various components has been depicted through graphs. | ||
| Key Words | ||
| orthotropic medium; fractional calculus; frequency domain; fourier transform; concentrated and uniformly distributed loads | ||
| Address | ||
| Department of Basic and Applied Sciences, Punjabi University Patiala, Punjab, India | ||