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Vol.23, No.3, 2023, pp. 261–268 |
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ELASTODYNAMICAL INTERACTIONS IN A FRACTIONAL ORDER MICROPOLAR THERMOELASTIC MASS DIFFUSION MEDIUM UNDER LASER PULSE HEATING Vikash Ghlawat1, Khursheed Alam1, Praveen Ailawalia2*, Arvind Kumar3** 1) Department of Mathematics, SBSR, Sharda University, Gr. Noida, Uttar Pradesh, INDIA 2) Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, INDIA *email: Praveen_2117@rediffmail.com 3) Department of Mathematics, GGSSS Uklana Mandi, Hisar, Haryana, INDIA **email: arvi.math@gmail.com
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Abstract The present investigation deals with the deformation in a fractional order micropolar thermoelastic medium with mass diffusion subjected to thermomechanical loading due to input laser pulse. Laplace and Fourier transform technique is used to solve the problem. Concentrated normal force and thermal source are taken to illustrate the utility of approach. The compact form expressions for normal stress, tangential stress, tangential couple stress, mass concentration and temperature distribution are obtained in the transformed domain. Numerical inversion technique of Laplace transforms and Fourier transform has been applied to obtain the resulting quantities in the physical domain after developing a computer programme. The normal stress, tangential stress, tangential coupled stress, temperature distribution, and mass concentration are depicted graphically to show the effect of relaxation times. Some particular cases of interest are deduced from the present investigation. Keywords: laser pulse, micropolar, mass diffusion, uniformly and linearly distributed source |
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