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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Communicated by ZHOU Zhe-wei
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Youssef, H.M. Dependence of modulus of elasticity and thermal conductivity on reference temperature in generalized thermoelasticity for an infinite material with a spherical cavity. Appl Math Mech 26, 470–475 (2005). https://doi.org/10.1007/BF02465386
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DOI: https://doi.org/10.1007/BF02465386