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Mech. Phys. Solids 15 (1967) 299–309.
[2] A.E. Green, K.A. Lindsay, Thermoelasticity, J. Elasticity, 2 (1972) 1–7.
[3] R.B. Hetnarski, J. Ignaczak, Soliton-like waves in a low temperature non-linear thermoelastic solid, Int. J. Eng. Sci., 34 (1996) 1767-1787.
[4] P. Puri, S.C. Cowin, Plane waves in linear elastic materials with voids, J. Elasticity, 15 (1985) 167-183.
[5] D. Iesan, A theory of thermoelastic materials with voids, Acta Mechanica 60 (1986) 67-89.
[6] J.W. Nunziato, S.C. Cowin, A nonlinear theory elastic materials with voids, Archive for Rational Chanics and Analysis, 72 (1979) 175-201.
[7] D.S. Chandrasekharaiah, Plane waves in a rotating elastic solid with voids, Int. J. Eng. Sci., 25, (1987) 591-596.
[8] M. Ciarletta, A. Scalia, On some theorems in the linear theory of viscoelastic materials with voids, J. Elasticity 25 (1991) 149-158.
[9] R.S. Dhaliwal, J. Wang, Domain of influence theorem in the theory of elastic
materials with voids, Int. J. Eng. Sci., 32 (1994) 1823-1828.
[10] M.I.A. Othman, Y.A. Sarhan, R.M. Farouk, Response of micro-polar thermo-
elastic medium with voids due to various sources in thermoelasticity III, Acta Mech. Solida Sinica, 25 (2012) 197-209.
[11] E. Scarpetta, Well posedness theorems for linear elastic materials with voids, Int. J. Eng. Sci., 33 (1995) 151-161.
[12] H.H. Sherief, M.A. Ezzat, A thermal-shoch problem in magneto-thermoelasticity
with thermal relaxation, Int. J. Solids Structures, 33 (1996) 4449-4459.
[13] A.K. Rakshit, P.R. Sengupta, Magneto-thermoviscoelastic waves in an initially stressed conducting layer, Sadhana 23 (1998) 233-246.
[14] M.I.A. Othman, I.A. Abbas, Effect of rotation on a magneto-thermoelastic hollow cylinder with energy dissipation using finite element method, J. Comput. and Theor. Nanosci., 12 (2015) 2399-2404.
[15] M.I.A. Othman, E.A.A. Ahmed, The effect of rotation on piezo-thermoelastic medium using different theories, Struct. Eng. and Techanics, An Int. J. 56 (2015) 649-665.
[16] I.A. Abbas, A.N. Abd-alla, M.I.A. Othman, Generalized magneto-thermo- elasticity in a fibre-reinforced anisotropic half-space, Int. J. Thermophysics, 32 (2011) 1071-1085.
[17] M.A. Ezzat, M.I.A. Othman, A.S. El-Karamany, Electro-magneto-thermoelastic plane waves with thermal relaxation in a medium of perfect conductivity, J.
Therm. Stresses, 24 (2001) 411-432.
[18] M.I.A. Othman, Relaxation effects on thermal shock problem in an elastic half-
Mech. Phys. Solids 15 (1967) 299–309.
[2] A.E. Green, K.A. Lindsay, Thermoelasticity, J. Elasticity, 2 (1972) 1–7.
[3] R.B. Hetnarski, J. Ignaczak, Soliton-like waves in a low temperature non-linear thermoelastic solid, Int. J. Eng. Sci., 34 (1996) 1767-1787.
[4] P. Puri, S.C. Cowin, Plane waves in linear elastic materials with voids, J. Elasticity, 15 (1985) 167-183.
[5] D. Iesan, A theory of thermoelastic materials with voids, Acta Mechanica 60 (1986) 67-89.
[6] J.W. Nunziato, S.C. Cowin, A nonlinear theory elastic materials with voids, Archive for Rational Chanics and Analysis, 72 (1979) 175-201.
[7] D.S. Chandrasekharaiah, Plane waves in a rotating elastic solid with voids, Int. J. Eng. Sci., 25, (1987) 591-596.
[8] M. Ciarletta, A. Scalia, On some theorems in the linear theory of viscoelastic materials with voids, J. Elasticity 25 (1991) 149-158.
[9] R.S. Dhaliwal, J. Wang, Domain of influence theorem in the theory of elastic
materials with voids, Int. J. Eng. Sci., 32 (1994) 1823-1828.
[10] M.I.A. Othman, Y.A. Sarhan, R.M. Farouk, Response of micro-polar thermo-
elastic medium with voids due to various sources in thermoelasticity III, Acta Mech. Solida Sinica, 25 (2012) 197-209.
[11] E. Scarpetta, Well posedness theorems for linear elastic materials with voids, Int. J. Eng. Sci., 33 (1995) 151-161.
[12] H.H. Sherief, M.A. Ezzat, A thermal-shoch problem in magneto-thermoelasticity
with thermal relaxation, Int. J. Solids Structures, 33 (1996) 4449-4459.
[13] A.K. Rakshit, P.R. Sengupta, Magneto-thermoviscoelastic waves in an initially stressed conducting layer, Sadhana 23 (1998) 233-246.
[14] M.I.A. Othman, I.A. Abbas, Effect of rotation on a magneto-thermoelastic hollow cylinder with energy dissipation using finite element method, J. Comput. and Theor. Nanosci., 12 (2015) 2399-2404.
[15] M.I.A. Othman, E.A.A. Ahmed, The effect of rotation on piezo-thermoelastic medium using different theories, Struct. Eng. and Techanics, An Int. J. 56 (2015) 649-665.
[16] I.A. Abbas, A.N. Abd-alla, M.I.A. Othman, Generalized magneto-thermo- elasticity in a fibre-reinforced anisotropic half-space, Int. J. Thermophysics, 32 (2011) 1071-1085.
[17] M.A. Ezzat, M.I.A. Othman, A.S. El-Karamany, Electro-magneto-thermoelastic plane waves with thermal relaxation in a medium of perfect conductivity, J.
Therm. Stresses, 24 (2001) 411-432.
[18] M.I.A. Othman, Relaxation effects on thermal shock problem in an elastic half-
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Affiliations
Mohamed I. A. Othman
Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Ezaira R. M. Edeeb
Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
How to Cite
Othman, M. I. A., & Edeeb, E. R. M. (2016, May 29). Effect Of Initial Stress On Generalized Magneto-Thermoelastic Medium With Voids: A Comparison Of Different Theories. International Journal of Engineering Maths and Computer Science, 4(5). https://doi.org/https://doi.org/10.15520/.2016.vol4.iss5.7
Effect Of Initial Stress On Generalized Magneto-Thermoelastic Medium With Voids: A Comparison Of Different Theories.
Abstract
The model of the equations of generalized magneto-thermoelasticity in an isotropic elastic medium with an initial stress is established. The entire elastic medium is rotated with a uniform angular velocity. The formulation is applied under three theories of generalized thermoelasticity: Lord-Schulman with one relaxation time, Green-Lindsay with two relaxation times, as well as the coupled theory. The normal mode analysis is used to obtain the exact expressions for the considered variables. Some particular cases are also discussed in the context of the problem. Numerical results for the considered variables are obtained and illustrated graphically. Comparisons are also made with the results predicted by different theories (CD, L-S, G-L) in the absence and presence of a magnetic field, as well as initial stress.