THE DEPENDENCE OF THE MODULUS OF ELASTICITY ON REFERENCE TEMPERATURE IN THE THEORY OF GENERALIZED THERMOELASTIC DIFFUSION WITH ONE RELAXATION TIME

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OTHMAN MOHAMED I.A.; FAROUK R.M.; EL HAMIED HEMAT A.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2009 | Volume:1 | Issue:4 Page(s): 277-289

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Title

THE DEPENDENCE OF THE MODULUS OF ELASTICITY ON REFERENCE TEMPERATURE IN THE THEORY OF GENERALIZED THERMOELASTIC DIFFUSION WITH ONE RELAXATION TIME

Author(s)

OTHMAN MOHAMED I.A. | FAROUK R.M. | EL HAMIED HEMAT A. | Issue Writer Certificate

Keywords

GENERALIZED THERMOELASTICITY

THERMOELASTIC DIFFUSION

LORD-SHULMAN THEORY

TEMPERATURE DEPENDENCE OF PROPERTIES

Abstract

In this paper, the model of the equations of generalized THERMOELASTIC DIFFUSION for a homogeneous isotropic elastic half-space under the dependence of the modulus of elasticity on the reference temperature is established. The modulus of elasticity is taken as a linear function of the reference temperature. The formulation is applied to the GENERALIZED THERMOELASTICITY theory under the Lord-Shulman and the classical dynamical coupled theories. Also the normal mode analysis is used to obtain the exact expressions for the displacement components, temperature distribution and thermal stress. Finally the variations of the considered variables are represented graphically and comparison is made with the results predicted by two theories and with the case where the modulus of elasticity is independent of temperature.

Cites

WAVE PROPAGATION IN MICROPOLAR THERMOELASTIC DIFFUSION MEDIUM

References

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APA: Copy

OTHMAN, MOHAMED I.A., FAROUK, R.M., & EL HAMIED, HEMAT A.. (2009). THE DEPENDENCE OF THE MODULUS OF ELASTICITY ON REFERENCE TEMPERATURE IN THE THEORY OF GENERALIZED THERMOELASTIC DIFFUSION WITH ONE RELAXATION TIME. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 1(4), 277-289. SID. https://sid.ir/paper/573943/en

Vancouver: Copy

OTHMAN MOHAMED I.A., FAROUK R.M., EL HAMIED HEMAT A.. THE DEPENDENCE OF THE MODULUS OF ELASTICITY ON REFERENCE TEMPERATURE IN THE THEORY OF GENERALIZED THERMOELASTIC DIFFUSION WITH ONE RELAXATION TIME. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2009;1(4):277-289. Available from: https://sid.ir/paper/573943/en

IEEE: Copy

MOHAMED I.A. OTHMAN, R.M. FAROUK, and HEMAT A. EL HAMIED, “THE DEPENDENCE OF THE MODULUS OF ELASTICITY ON REFERENCE TEMPERATURE IN THE THEORY OF GENERALIZED THERMOELASTIC DIFFUSION WITH ONE RELAXATION TIME,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 1, no. 4, pp. 277–289, 2009, [Online]. Available: https://sid.ir/paper/573943/en

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