Propagation of a thermoelastic wave in a half-space of a homogeneous isotropic material subjected to the effect of gravity field

2017 ◽  
Vol 17 (3) ◽  
pp. 564-573 ◽  
Author(s):  
Abdelmooty M. Abd-Alla ◽  
Sayed M. Abo-Dahab ◽  
Hind A. Alotaibi
Keyword(s):  
Gravity Field ◽  
Half Space ◽  
Isotropic Material ◽  
Thermoelastic Wave ◽  
Homogeneous Isotropic Material

scholarly journals A Two-Dimensional Generalized Electromagnetothermoelastic Diffusion Problem for a Rotating Half-Space

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Jingrui Zhang ◽  
Yanyan Li
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Half Space ◽  
Chemical Potential ◽  
Diffusion Problem ◽  
Two Dimensional ◽  
Constant Intensity ◽  
Thermoelastic Wave ◽  
Thermoelastic Diffusion ◽  
Nondimensional Temperature

In the context of the theory of generalized thermoelastic diffusion, a two-dimensional generalized electromagnetothermoelastic problem with diffusion for a rotating half-space is investigated. The rotating half-space is placed in an external magnetic field with constant intensity and its bounding surface is subjected to a thermal shock and a chemical potential shock. The problem is formulated based on finite element method and the derived finite element equations are solved directly in time domain. The nondimensional temperature, displacement, stress, chemical potential, concentration, and induced magnetic field are obtained and illustrated graphically. The results show that all the considered variables have a nonzero value only in a bounded region and vanish identically outside this region, which fully demonstrates the nature of the finite speeds of thermoelastic wave and diffusive wave.

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