ORIGINAL PAPER
Investigation of Waves Generated in Transversely Isotropic Micropolar Generalized Thermoelastic Half Space Under Temperature Dependent Properties
,
 
 
 
 
More details
Hide details
1
Department of Mathematics & Applied Sciences, Middle East College, Muscat, Oman
 
 
Online publication date: 2019-12-04
 
 
Publication date: 2019-12-01
 
 
International Journal of Applied Mechanics and Engineering 2019;24(4):53-65
 
KEYWORDS
ABSTRACT
The present study deals with the propagation of waves in a transversely isotropic micropolar generalized thermoelastic material possessing temperature dependent elastic properties. After developing the solution for LS, GL and CT theory, the phase velocities and attenuation quality factor have been obtained. The expressions for amplitudes of stresses, displacements, microratation and temperature distribution have been derived and computed numerically. The numerically evaluated results have been plotted graphically. Some particular cases of interest have also been obtained.
 
REFERENCES (15)
1.
Eringen A.C. (1999): Microcontinuum Fields Theories I: Foundations and Solids. – New York: Springer Verlag.
 
2.
Nowacki W. (1986): Theory of Asymmetric Elasticity. – Oxford: Pergamon.
 
3.
Eringen A.C. (1970): Foundations of micropolar thermoelasticity. – International Centre for Mechanical Science, Udine Course and Lectures 23, (Springer-Verlag, Berlin).
 
4.
Tauchert T.R., Claus Jr. W.D. and Ariman T. (1968): The linear theory of micropolar thermoelasticity. – International Journal of Engineering Science, vol.6, No.1, pp.37-47.
 
5.
Dost S. and Tabarrok B. (1978): Generalized micropolar thermoelasticity. – Int. J. Engng. Sci., vol.16, 173.
 
6.
Dhaliwal R.S. and Singh A. (1987): Micropolar thermoelasticity.
 
7.
Chandrasekhariah (1986): Heat flux dependent micropolar elasticity. – Int. J. Eng. Sci., vol.24, pp.1389-1395.
 
8.
Fernandes R. and Stoufferb D.C. (1973): A general theory for elastic solids with temperature dependent mechanical properties. – Nuclear Engng. and Design, vol.25, pp.301-308.
 
9.
Lomarkin V.A. (1976): The theory of elasticity of non-homogeneous bodies. – Moscow.
 
10.
Ezzat M.A., Othman M.I. and El-Karamany A.S. (2001): The dependence of modulus of elasticity of reference temperature in generalized thermoelasticity. – J. Thermal Stresses, vol.24, pp.1159-1176.
 
11.
Othman Mohamed I.A. (2003): State-space approach to generalized thermoelasticity plane waves with two relaxation times under dependence of the modulus of elasticity on the reference temperature. – Can. J. Phys., vol.81, pp.1403-1418.
 
12.
Aouadi M. (2006): Temperature dependence of an elastic modulus in general linear micropolar thermoelasticity. – Z. Angew. Math. Phys., vol.29, pp.1057-1074.
 
13.
Othman Mohamed I.A., Lotfy Kh. and Farouk R.M. (2010): Generalized thermomicrostretch elastic medium with temperature dependent properties for different theories. – Engng. Anal. Boundary Elements, vol.34, pp.229-237.
 
14.
Slaughter W.S. (2002): The Linearized Theory of Elasticity. – Birkhauser.
 
15.
Green A.E. and Lindsay K.A. (1972): Thermoelasticity. – J. Elasticity, vol.2, pp.1-7.
 
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
Scroll to top