Dependence of the Modulus of Elasticity and the Thermal Conductivity on the Reference Temperature in Generalized Thermoelasticity for an Infinite Material With a Spherical Cavity

Hamdy M. Youssef

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(4): 431-436

Hamdy M. Youssef. Dependence of the Modulus of Elasticity and the Thermal Conductivity on the Reference Temperature in Generalized Thermoelasticity for an Infinite Material With a Spherical Cavity[J]. Applied Mathematics and Mechanics, 2005, 26(4): 431-436.

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Dependence of the Modulus of Elasticity and the Thermal Conductivity on the Reference Temperature in Generalized Thermoelasticity for an Infinite Material With a Spherical Cavity

Hamdy M. Youssef

Mathematical Department, Faculty of Engineering, Umm Al-Qura University, Makkah Al-Mokaramah P. 5555, Saudi Arabia

Received Date: 2003-07-28
Rev Recd Date: 2004-12-27
Publish Date: 2005-04-15

Abstract

Abstract

The equations of generalized thermoelasticity with one relaxation time with variable modulus of elasticity and the thermal conductivity were used to solve a problem of an infinite material with a spherical cavity.The inner surface of the cavity was taken to be traction free and acted upon by a thermal shock to the surface.Laplace transforms techniques were used to obtain the solution by a direct approach.The inverse Laplace tranforms was obtained numerically.The temperature,displacement and stress distributions are represented graphically.
- thermoelasticity,
- generalized thermoelasticity,
- modulus of elasticity,
- thermal conductivity

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References(12)

References

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