Two-dimensional interactions due to moving load in generalized thermoelastic solid with diffusion |
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Authors: | Sunita Deswal Suman Choudhary |
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Affiliation: | Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, Haryana, INDIA;Department of Mathematics, Govt. College, Nalwa (Hisar) 125037, Haryana, INDIA |
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Abstract: | The present paper is concerned with the investigation of disturbances in a homogeneous,isotropic elastic medium with generalized thermoelastic diffusion,when a moving source is acting along one of the co-ordinate axis on the boundary of the medium.Eigen value approach is applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem.The analytical expressions for displacement components,stresses,temperature field,concentration and chemical potential axe obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques.These expressions are calculated numerically for a copper like material and depicted graphically.As special cases,the results in generalized thermoelastic and elastic media are obtained.Effect of presence of diffusion is analyzed theoretically and numerically. |
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Keywords: | Eigen value approach vector matrix differential equation thermoelastic diffusion generalized thermoelasticity moving load Laplace and Fourier transforms |
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