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Eigenvalue approach to study the effect of rotation and relaxation time in generalized magneto-thermo-viscoelastic medium in one dimension |
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| Authors: | Arup Baksi Bidyut Kumar Roy Rasajit Kumar Bera |
| Affiliation: | aDepartment of Mathematics, Umes Chandra college, 13, Surya Sen Street, Calcutta 700012, India;bDepartment of Mathematics, Vivekananda College, 269, D. H. Road, Calcutta 700063, India;cDepartment of Mathematics, Heritage Institute of Technology, Chowbaga Road, Anandapur, P.O. East Kolkata Township, Kolkata 700107, India |
| Abstract: | The fundamental equations of the problems of generalized thermoelasticity with one relaxation parameter including heat sources in infinite rotating magneto-thermo-viscoelastic media have been derived in the form of a vector matrix differential equation in the Laplace transform domain for a one dimensional problem. These equations have been solved by the eigenvalue approach to determine deformations, stress, and temperature. The results have been compared to those available in the existing literature. The graphs have been drawn to show the effect of rotation in the medium. |
| Keywords: | Generalized thermoelasticity Rotating magnetic viscoelastic media Vector-matrix differential equation Eigenvalue Laplace transform |
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