Analysis of wave motion in micropolar transversely isotropic thermoelastic half space without energy dissipation

2010 ◽  
Vol 3 (2) ◽  
pp. 145-156 ◽  
Author(s):  
Rajneesh Kumar ◽  
Rajani Rani Gupta
Keyword(s):  
Energy Dissipation ◽  
Half Space ◽  
Wave Motion ◽  
Transversely Isotropic ◽  
Without Energy Dissipation

scholarly journals Exact Solution of Thermoelastic Problem for a One-Dimensional Bar without Energy Dissipation

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
A. M. Abd El-Latief ◽  
S. E. Khader
Keyword(s):  
Exact Solution ◽  
Relaxation Time ◽  
Thermal Stress ◽  
Energy Dissipation ◽  
Heat Source ◽  
Half Space ◽  
Time Dependent ◽  
One Dimensional ◽  
The Laplace Transform ◽  
Without Energy Dissipation

We consider a homogeneous isotropic thermoelastic half-space in the context of the theory of thermoelasticity without energy dissipation. There are no body forces or heat source acting on the half-space. The surface of the half-space is affected by a time dependent thermal shock and is traction free. The Laplace transform with respect to time is used. The inverse transforms are obtained in an exact manner for the temperature, thermal stress, and displacement distributions. These solutions are represented graphically and discussed for several cases of the applied heating. Comparison is made between the predictions here and those of the theory of thermoelasticity with one relaxation time.

Response of thermal source in transversely isotropic thermoelastic materials without energy dissipation and with two temperatures

2014 ◽  
Vol 92 (11) ◽  
pp. 1305-1311 ◽  
Author(s):  
Ibrahim A. Abbas ◽  
Rajneesh Kumar ◽  
Lajvinder Singh Reen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Energy Dissipation ◽  
Transversely Isotropic ◽  
Thermal Source ◽  
Numerical Work ◽  
Special Cases ◽  
Two Temperatures ◽  
Without Energy Dissipation ◽  
Element Method

A two-dimensional problem in a transversely isotropic thermoelastic medium without energy dissipation and with two temperatures due to a thermal source is investigated. As an application of the problem, a particular type of continuous thermal source has been taken to illustrate the utility of the approach. The problem is solved numerically by using a finite element method. The displacement components, conductive temperature, and stress components have been obtained numerically and illustrated graphically for our particular model. Some special cases of interest are also discussed. The implementation of finite element method codes used C++. Numerical work is also performed for a suitable material with the aim of illustrating the results.

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