ORIGINAL PAPER
Two-Dimensional Deformation in a Thermoelastic Solid with Microtemperatures Subjected to an Internal Heat Source
,
 
,
 
 
 
 
More details
Hide details
1
Department of Applied Sciences, Maharishi Markandeshwar University Sadopur, Ambala City, Haryana, India
 
2
Department of Applied Sciences, Chandigarh Group of Colleges Landran, Mohali, Punjab, India
 
3
Punjab Technical University Jalandhar, Punjab, India
 
 
Online publication date: 2018-03-14
 
 
Publication date: 2018-02-01
 
 
International Journal of Applied Mechanics and Engineering 2018;23(1):5-21
 
KEYWORDS
ABSTRACT
The purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an internal heat source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an internal heat source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of internal heat source and microtemperatures on the above components has been depicted graphically.
 
REFERENCES (24)
1.
Grot R. (1969): Thermodynamics of a continuum with microstructure. - International Journal of Engineering Science, vol.7, pp.801-814.
 
2.
Iesan D. and Quintanilla R. (2000): On a theory of thermoelasticity with microtemperatures. - Journal of Thermal Stresses, vol.23, pp.199-215.
 
3.
Riha P. (1976): On the microcontinuum model of heat conduction in materials with inner structure. - International Journal of Engineering Science, vol.14, pp.529-535.
 
4.
Riha P. (1975): On the theory of heat conducting micropolar fluids with microtemperatures. - Acta Mechanics, vol.23, pp.1-8.
 
5.
Riha P. (1977): Poiseuille flow of microthermopolar fluids. - Acta Technology, vol.22, pp.602-614.
 
6.
Iesan D. (2001): On a theory of micromorphic elastic solids with microtemperatures. - Journal of Thermal Stresses, vol.24, pp.737-752.
 
7.
Iesan D. (2002). On the theory of heat conduction in micromorphic continua. - International Journal of Engineering Science, vol.40, pp.1859-1878.
 
8.
Iesan D. (2007): Thermoleasticity of bodies with microstructure and microtemperatures. - International Journal of Solids and Structures, vol.44, pp.8648-8662.
 
9.
Iesan D. and Quintanilla R. (2009): On thermoelastic bodies with inner structure and microtemperatures. - Journal of Mathematical Analysis and Applications, vol.354, No.1, pp.12-23.
 
10.
Svanadze M. (2003): Boundary value problems of the theory of thermoelasticity with microtemperatures. - Proceeding in Applied Mathematics and Mechanics, vol.3, pp.188-189.
 
11.
Svanadze M. (2004): Fundamental solutions of the equations of the theory of thermoelasticity with microtemperatures. - Journal of Thermal Stresses, vol.27, pp.151-170.
 
12.
Scalia A. and Svanadze M. (2006): On the representations of solutions of the theory of thermoelasticity. - Journal of Thermal Stresses, vol.29, pp.849-863.
 
13.
Scalia A. and Svanadze M. (2009): Potential method in the linear theory of thermoelasticity with microtemperatures. - Journal of Thermal Stresses, vol.32, pp.1024-1042.
 
14.
Scalia A., Svanadze M. and Tracina R. (2010): Basic theorems in the equilibrium theory of thermoelasticity with microtemperatures. - Journal of Thermal Stresses, vol.33, pp.721-753.
 
15.
Iesan D. (2009): Singular surfaces in the theory of thermoelasticity with microtemperatures. - Journal of Therm Stresses, vol.32, pp.617-621.
 
16.
Iesan D. and Scalia A. (2010): Plane deformation of elastic bodies with microtemperatures. - Mechanics Research Communications, vol.37, No.7, pp.617-621.
 
17.
Yang L. and Huang L. (2010): Propagation of singularities for Cauchy problems of semilinear thermoelastic systems with microtemperatures. - Mathematische Nachrichten, vol.283, pp.615-629.
 
18.
Aouadi M. (2008): Some theorems in the isotropic theory of microstretch thermoelasticity with microtemperatures. - Journal of Thermal Stresses, vol.31, pp.649-662.
 
19.
Svanadze M. and Tracina R. (2011): Representations of solutions in the theory of thermoelasticity with microtemperatures for microstretch solids. - Journal of Thermal Stresses, vol.34, pp.161-178.
 
20.
Chirita S., Ciarletta M. and Apice C.D. (2013): On the theory of thermoelasticity with microtemperatures. - Journal of Mathematical Analysis and Applications, vol.397, pp.349-361.
 
21.
Steeb H., Singh J. and Tomar S.K. (2013): Time harmonic waves in thermoelastic material with microtemperatures. - Mechanics Research Communication, vol.48, pp.8-18.
 
22.
Kumar R. and Kaur M. (2014): Reflection and refraction of plane waves at the interface of an elastic solid and microstretch thermoelastic solid with microtemperatures. - Archive of Applied Mechanics, vol.84, No.4, pp.571-590.
 
23.
Ailawalia P., Sachdeva S.K. and Pathania D. (2015): Two dimensional deformation in microstretch thermoelastic half space with microtemperatures and internal heat source. - Cogent Mathematics, vol.2, pp.1-15.
 
24.
Othman M.I.A, Tantawi R.S. and Hilal M.I.M. (2016): Effect of initial stress and gravity field on micropolar thermoelastic solid with microtemperatures. - Journal of Theoretical and Applied Mechanics, vol.54, No.3, pp.847-857.
 
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
Scroll to top