Axi-symmetric generalized thermoelastic diffusion problem with two-temperature and initial stress under fractional order heat conduction

2016 ◽  
Vol 496 ◽  
pp. 57-68 ◽  
Author(s):  
Sunita Deswal ◽  
Kapil Kumar Kalkal ◽  
Sandeep Singh Sheoran
2012 ◽  
Vol 625 ◽  
pp. 318-322 ◽  
Author(s):  
Yong Ping Liu ◽  
Shuan Hu Shi

The generalized thermoelastic diffusion problem with temperature-dependent properties is investigated in the context of the theory of generalized thermoelastic diffusion. The problem is solved by means of finite element method and the derived finite element equations are solved directly in time domain. The effects of diffusion and temperature-dependent properties on generalized thermoelastic wave and mass diffusion wave are studied in detail. The results show that all the considered variables have a non-zero value only in a bounded region and vanish identically beyond this region, the temperature-dependent properties act to reduce all the considered variables and the diffusion barely influences the considered variables.


2014 ◽  
Vol 490-491 ◽  
pp. 670-675
Author(s):  
Tian Hu He ◽  
Yan Bo Niu ◽  
Shuan Hu Shi ◽  
Yong Bin Ma

The generalized thermoelastic diffusion problem with temperature-dependent properties is investigated in the context of the theory of generalized thermoelastic diffusion. The results show that all the considered variables have a non-zero value only in a bounded region and vanish identically beyond this region, and the temperature-dependent properties act to reduce all the considered variables.


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