Transient Disturbance in a Half Space under Generalized Magneto Thermoelasticity with Internal Heat Source |
| Mohamed I.A. Othmana, Kh. Lotfyb and R.M. Faroukc
a Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt, b Computer Science Department, Faculty of Science, Al Dawadmi, King Saud University, P.O. Box 18, Al Dawadmi 11911, Kingdom of Saudi Arabia |
| Received: March 18, 2009; Revised version: May 18, 2009; In final form: June 15, 2009 |
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| The transient waves caused by a line heat source with a uniform velocity inside isotropic homogeneous thermoelastic perfectly conducting half space permeated into a uniform magnetic field are studied. The formulation is applied under three theories of generalized thermoelasticity: Lord-Shulman theory with one relaxation time, Green-Lindsay theory with two relaxation times, as well as the classical dynamical coupled theory. The problem is reduced to the solution of three differential equations by introducing the elastic and thermoelastic potentials. The normal mode analysis is used to obtain the expression for the temperature, displacement components and the thermal stresses. Numerical results are given and illustrated graphically. Comparisons are made with the results predicted by the three theories in the presence and absence of magnetic field and the internal heat source. |
| DOI: 10.12693/APhysPolA.116.185 PACS numbers: 46.25.Hf |