The Effect of Mechanical Force on Generalized Thermoelasticity in a Fiber-Reinforcement Under Three Theories
Article
First Online:
Received:
Accepted:
- 137 Downloads
- 11 Citations
Abstract
The present paper is concerned with effect of mechanical force on generalized thermoelasticity in a fiber-reinforcement. The formulation is applied to generalized thermoelasticity based on the coupled theory, Lord–Shulman theory, and Green–Lindsay theory. The analytical expression of the displacement components, stresses, and temperature are obtained in the physical domain and illustrated graphically using normal mode analysis. Comparisons are made among the three theories for the field quantities in the absence and in the presence of a fiber-reinforcement as well as for different values of mechanical force.
Keywords
(CD) theory (G–L) theory (L–S) theory Mechanical force Reinforcement ThermoelasticPreview
Unable to display preview. Download preview PDF.
References
- 1.Nowacki W.: Thermoelasticity. Addison-Wesley, London (1958)Google Scholar
- 2.Nowinski J.: Theory of Thermoelasticity with Applications, pp. 826. Setoff and Noord-hoff, Alphen ann den Rijn (1978)MATHCrossRefGoogle Scholar
- 3.Belfield A.J., Rogers T.G., Spencer A.J.M.: J. Mech. Phys. Solids 31, 25 (1983)ADSMATHCrossRefGoogle Scholar
- 4.Verma P.D.S., Rana O.H.: Mech. Mater. 2, 353 (1983)CrossRefGoogle Scholar
- 5.Sengupta P.R., Nath S.: Sãdhanã 26, 363 (2001)Google Scholar
- 6.Hashin Z., Rosen W.B.: J. Appl. Mech. 31, 223 (1964)ADSCrossRefGoogle Scholar
- 7.Singh B., Singh S.J.: Sãdhanã 29, 249 (2004)MATHGoogle Scholar
- 8.Pradhan A., Samal S.K., Mahanti N.C.: Tamkang J. Sci. Eng. 6, 173 (2003)Google Scholar
- 9.Chattopadhyay A., Venkateswarlu R.L.K., Saha S.: Sãdhanã 27, 613 (2002)Google Scholar
- 10.Verma P.D.S.: Int. J. Eng. Sci. 24, 1067 (1986)MATHCrossRefGoogle Scholar
- 11.Ahmed S.M.: Int. J. Math. Math. Sci. 23, 627 (2000)MathSciNetMATHCrossRefGoogle Scholar
- 12.El-Naggar A.M., Abd-Alla A.M., Ahmed S.M.: Bull. Calcutta Math. Soc. 86, 51 (1994)MathSciNetGoogle Scholar
- 13.Abd-Alla A.M., Mahmoud S.R., Abo-Dahab S.M., Helmy M.I.: Appl. Math. Sci. 4, 91 (2010)MathSciNetMATHGoogle Scholar
- 14.Othman M.I.A., Abbas I.A.: Meccanica 46, 413 (2011)MathSciNetCrossRefGoogle Scholar
- 15.Lord H.W., Şhulman Y.: J. Mech. Phys. Solid 15, 299 (1967)ADSMATHCrossRefGoogle Scholar
- 16.Green A.E., Lindsay K.A.: J. Elast. 2, 1 (1972)MATHCrossRefGoogle Scholar
- 17.Othman M.I.A.: Int. J. Solids Struct. 41, 2939 (2004)MATHCrossRefGoogle Scholar
- 18.Othman M.I.A., Lotfy Kh.: Multidiscip. Model. Mater. Struct. 5, 235 (2009)Google Scholar
- 19.Othman M.I.A., Song Y.Q.: Multidisciplinary Model. Mater. Struct. 5, 43 (2009)CrossRefGoogle Scholar
- 20.Singh B.: Arch. Appl. Mech. 75, 513 (2006)ADSMATHCrossRefGoogle Scholar
- 21.Montanaro A.: J. Acoust. Soc. Am. 106, 1586 (1999)ADSCrossRefGoogle Scholar
Copyright information
© Springer Science+Business Media, LLC 2012