Dependence of modulus of elasticity and thermal conductivity on reference temperature in generalized thermoelasticity for an infinite material with a spherical cavity |
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| Authors: | Hamdy M. Youssef |
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| Affiliation: | Mathematical Department, Faculty of Engineering, Umm Al-Qura University,;Makkah Al-Mokaramah P.5555, Saudi Arabia |
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| 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 transforms was obtained numerically.The temperature,displacement and stress distributions are represented graphically. |
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| Keywords: | thermoelasticity generalized thermoelasticity modulus of elasticity thermal conductivity |
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