scholarly journals Sliding of a cup-shaped die on a half-space: influence of thermal relaxation, convection and die temperature

2014 ◽  
Vol 9 (3) ◽  
pp. 347-363 ◽  
Author(s):  
Louis Brock
Keyword(s):  
Half Space ◽  
Thermal Relaxation ◽  
Die Temperature

scholarly journals A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation

1990 ◽  
Vol 13 (3) ◽  
pp. 567-578 ◽  
Author(s):  
S. K. Roy-Choudhuri ◽  
Gargi Chatterjee
Keyword(s):  
Relaxation Time ◽  
Elastic Wave ◽  
Thermal Shock ◽  
Half Space ◽  
Thermal Relaxation ◽  
Analytical Form ◽  
Elastic Half Space ◽  
Elastic Problem ◽  
Strain Fields ◽  
Thermal Fields

In the present paper we consider the magneto-thermo-elastic wave produced by a thermal shock in a perfectly conducting elastic half-space. Here the Lord-Shulman theory of thermoelasticity [1] is used to account for the interaction between the elastic and thermal fields. The solution obtained in analytical form reduces to those of Kaliski and Nowacki [2] when the coupling between the temperature and strain fields and the relaxation time are neglected. The results also agree with those of Massalas and DaLamangas [3] in absence of the thermal relaxation time.

scholarly journals On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity

2019 ◽  
Vol 24 (3) ◽  
pp. 661-673 ◽  
Author(s):  
B. Singh ◽  
S. Verma
Keyword(s):  
Relaxation Time ◽  
Surface Wave ◽  
Rayleigh Wave ◽  
Half Space ◽  
Wave Speed ◽  
Thermal Relaxation ◽  
Generalized Thermoelasticity ◽  
Governing Equations ◽  
Particular Solutions ◽  
Rayleigh Wave Speed

Abstract The governing equations for a homogeneous and isotropic thermoelastic medium are formulated in the context of coupled thermoelasticity, Lord and Shulman theory of generalized thermoelasticity with one relaxation time, Green and Lindsay theory of generalized thermoelasticity with two relaxation times, Green and Nagdhi theory of thermoelasticity without energy dissipation and Chandrasekharaiah and Tzou theory of thermoelasticity. These governing equations are solved to obtain general surface wave solutions. The particular solutions in a half-space are obtained with the help of appropriate radiation conditions. The two types of boundaries at athe surface of a half-space are considered namely, the stress free thermally insulated boundary and stress free isothermal boundary. The particular solutions obtained in a half-space satisfy the relevant boundary conditions at the free surface of the half-space and a frequency equation for the Rayleigh wave speed is obtained for both thermally insulated and isothermal cases. The non-dimensional Rayleigh wave speed is computed for aluminium metal to observe the effects of frequency, thermal relaxation time and different theories of thermoelasticity.

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