Department of Applied Sciences and Humanities, M.M. University, Sadopur, Ambala City, Haryana, INDIA
2
Department of Applied Sciences, D.A.V Institute of Engineering and Technology, Jalandhar, Punjab, INDIA, (Research Scholar, Punjab Technical University, Kapurthala, Punjab, India)
3
Department of Applied Sciences, Guru Nanak Dev Ji Engineering College, Ludhiana, Punjab, INDIA
Online publication date: 2015-12-10
Publication date: 2015-12-01
International Journal of Applied Mechanics and Engineering 2015;20(4):717-731
The purpose of this paper is to study the two dimensional deformation due to an internal heat source in a thermoelastic microelongated solid. A mechanical force is applied along an overlaying elastic layer of thickness h. The normal mode analysis has been applied to obtain the exact expressions for the displacement component, force stress, temperature distribution and microelongation. The effect of the internal heat source on the displacement component, force stress, temperature distribution and microelongation has been depicted graphically for Green-Lindsay (GL) theory of thermoelasticity.
REFERENCES(37)
1.
Aouadi M. (2006): Thermomechanical interactions in a generalized thermo-microstrech elastic half-space. – Journal of Thermal Stresses, vol.29, pp.511-528.
Barber J.R. (1984): Thermoelastic displacements and stresses due to a heat source moving over the surface of a half plane. – ASME, Transactions, - Journal of Applied Mechanics, vol.51, pp.636-640.
Chandrasekharaiah D.S. and Srinath K.S. (1998): Thermoelastic interactions without energy dissipation due to a point heat source. – Journal of Elasticity, vol.50, pp.97-108.
Deswal S. and Choudhary S. (2008): Two-dimensional interactions due to moving load in generalized thermoelastic solid with diffusion. – Applied Mathematics and Mechanics, vol.29, No.2, pp.207-221.
Dhaliwal R.S. and Singh A. (1987): Micropolar thermoelasticity, Chapter 5, in R.B. Hetnarski(ed.), Thermal Stresses II, Mechanical and Mathematical Methods, ser. 2, North-Holland, Amsterdam.
Dhaliwal R.S., Majumdar S.R. and Wang J. (1997): Thermoelastic waves in an infinite solid caused by a line heat source. – International Journal of Mathematics and Mathematical Sciences, vol.20, No.2, pp.323-334.
El. Maghraby N.M. (2010): A generalized thermoelasticity problem for a halfspace with heat sources and body forces. – International Journal of Thermophysics, vol.31, pp.648-662.
Eringen A.C. (1965): Linear theory of micropolar elasticity. – ONR Techanical report No. 29, School of Aeronautics, Aeronautics and Engineering Science, Purdue University.
Eringen A.C. and Suhubi E.S. (1964): Nonlinear theory of simple micro-elastic solids I. – International Journal of Engineering Science, vol.2, pp.189-203.
Kiris A. and Inan E. (2007): 3-D vibration analysis of the rectangular microdamaged plates. – In Proc. 8th International Conference on Vibration Problems (ICOVP), India, pp.207–214.
Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermo-elasticity. – Journal of the Mechanics and Physics of Solids, vol.15, pp.299-306.
Nowacki W. (1966): Couple stresses in the theory of thermoelasticity III. – Bulletin of the Polish Academy of Sciences Techanical Sciences, vol.8, pp.801-809.
Nowacki W. and Olszak W. (1974): Micropolar thermoelasticity. – In W. Nowacki and Olszak (eds.), Micropolar Thermoelasticity, CISM Courses and Lectures, No.151, Udine, Springer-Verlag, Vienna.
Sarbani C. and Amitava C. (2004): Transient disturbance in a relaxing thermoelastic half-space due to moving internal heat source. – International Journal of Mathematics and Mathematical Sciences, vol.22, pp.595-602.
Sharma J.N. Chauhan R.S. and Kumar R. (2000): Time-harmonic sources in a generalized thermoelastic continuum. – Journal of Thermal Stresses, vol.23, No.7, pp.657-674.
Sharma J.N. and Chauhan R.S. (2001): Mechanical and thermal sources in a generalized thermoelastic half-space. – Journal of Thermal Stresses, vol.24, No.7, pp.651-675.
Shaw S. and Mukhopadhyay B. (2012): Periodically varying heat source response in a functionally graded microelongated medium. – Applied Mathematics and Computation, vol.128, No.11, pp.6304-6313.
Shaw S. and Mukhopadhyay B. (2013): Moving heat source response in a thermo elastic microelongated solid. – Journal of Engineering Physics and Thermophysics, vol.86, No.3, pp.716-722.
Sherief H.H. (1986): Fundamental solution of the generalized thermoelastic problem for short times. – Journal of Thermal Stresses, vol.9, No.2, pp.151-164.
Tauchert T.R., Claus Jr. W.D. and Ariman T. (1968): The linear theory of micropolar thermo-elasticity. – International Journal of Engineering Science, vol.6, pp.36-47.
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