Generalized thermoelastic functionally graded spherically isotropic solid containing a spherical cavity under thermal shock

被引:0
作者
M. K. Ghosh
M. Kanoria
机构
[1] Serampore College,Department of Mathematics
[2] University of Calcutta,Department of Applied Mathematics
来源
Applied Mathematics and Mechanics | 2008年 / 29卷
关键词
generalized thermoelasticity; functionally graded material (FGM); Green-Lindsay theory; vector-matrix differential equation; Bellman method; O343.6; 74F05;
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摘要
This paper is concerned with the determination of thermoelastic displacement, stress and temperature in a functionally graded spherically isotropic infinite elastic medium having a spherical cavity, in the context of the linear theory of generalized thermoelasticity with two relaxation time parameters (Green and Lindsay theory). The surface of cavity is stress-free and is subjected to a time-dependent thermal shock. The basic equations have been written in the form of a vector-matrix differential equation in the Laplace transform domain, which is then solved by an eigenvalue approach. Numerical inversion of the transforms is carried out using the Bellman method. Displacement, stress and temperature are computed and presented graphically. It is found that variation in the thermo-physical properties of a material strongly influences the response to loading. A comparative study with a corresponding homogeneous material is also made.
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[1]  
Biot M. A.(1956)Thermoelasticity and irreversible thermodynamics[J] J Appl Phys 27 240-253
[2]  
Lord H.(1967)A generalized dynamical theory of thermoelasticity[J] Mech Phys Solid 15 299-309
[3]  
Shulman Y.(1972)Thermoelasticity[J] J Elast 2 1-7
[4]  
Green A. E.(1995)Experimental support for the lagging behavior in heat propagation[J] J Thermophys Heat Transf 9 686-693
[5]  
Lindsay K. A.(1995)Experimental evidence of hyperbolic heat conduction in processed meat[J] J Heat Transfer (ASME) 117 568-573
[6]  
Tzou D. Y.(1986)Thermoelasticity with second sound[J] A Review Appl Mech Rev 39 355-375
[7]  
Mitra K.(1978)State space approach to thermoelasticity[J] J Thermal Stresses 1 135-145
[8]  
Kumar S.(1995)Fundamental solution in thermoelasticity with two relaxation times for cylindrical regions[J] Int J Eng Sci 33 2011-2020
[9]  
Vedaverg A.(1994)Generalized thermoelasticity response of semi-space to a short laser pulse[J] J Thermal Stresses 17 377-396
[10]  
Chandrasekharaiah D. S.(2004)Generalized coupled thermoelasticity of disks based on the Lord-Shulman model[J] J Thermal Stresses 27 691-704