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 Magneto-thermoelastic waves induced by a thermal shock in a finitely conducting elastic half space

1996 ◽  
Vol 19 (1) ◽  
pp. 131-143 ◽  
Author(s):  
S. K. Roychoudhuri ◽  
Santwana Banerjee (Mukhopadhyay)
Keyword(s):  
Magnetic Field ◽  
Thermal Shock ◽  
Half Space ◽  
Normal Load ◽  
Elastic Half Space ◽  
Thermal Fields ◽  
Sound Effects ◽  
Short Time ◽  
Thermoelastic Waves ◽  
Perturbed Magnetic Field

The propagation of magneto-thermoelastic disturbances produced by a thermal shock in a finitely conducting elastic half-space in contact with vacuum is investigated. The boundary of the half-space is subjected to a normal load. Lord-Shulman theory of thermoelasticity [1] is used to account for the interaction between the elastic and thermal fields. Laplace transform on time is used to obtain the short-time approximations of the solutions because of the short duration of 'second sound' effects. It is found that in the half-space the displacement is continuous at the modified dilational and thermal wavefronts, whereas the perturbed magnetic field, stress and the temperature suffer discontinuities at these locations. The perturbed magnetic field, is, however, discontinuous at the Alf'ven-acoustic wavefront in vacuum.

scholarly journals Plane waves in thermoelasticity with one relaxation time

2001 ◽  
Vol 26 (4) ◽  
pp. 225-232
Author(s):  
Jun Wang ◽  
Wen Dong Chang
Keyword(s):  
Relaxation Time ◽  
General Solution ◽  
Laplace Transform ◽  
Half Space ◽  
Plane Waves ◽  
Elastic Half Space ◽  
Second Sound ◽  
Boundary Temperature ◽  
Explicit Expressions

We apply the thermoelastic equations with one relaxation time developed by Lord and Shulman (1967) to solve some elastic half-space problems. Laplace transform is used to find the general solution. Problems concerning the ramp-type increase in boundary temperature and stress are studied in detail. Explicit expressions for temperature and stress are obtained for small values of time, where second sound phenomena are of relevance. Numerical values of stress and temperature are calculated and displayed graphically.

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.

scholarly journals Finite element simulation of a gradient elastic half-space subjected to thermal shock on the boundary

2016 ◽  
Vol 40 (23-24) ◽  
pp. 10181-10198 ◽  
Author(s):  
Theodosios K. Papathanasiou ◽  
Panos A. Gourgiotis ◽  
Francesco Dal Corso
Keyword(s):  
Finite Element ◽  
Finite Element Simulation ◽  
Thermal Shock ◽  
Half Space ◽  
Elastic Half Space ◽  
Element Simulation
Sign in / Sign up

Export Citation Format

Share Document