A Problem in Microstretch Thermoelastic Diffusive Medium

Authors: Devinder Singh, Arbind Kumar, Rajneesh Kumar

Abstract:

The general solution of the equations for a homogeneous isotropic microstretch thermo elastic medium with mass diffusion for two dimensional problems is obtained due to normal and tangential forces. The Integral transform technique is used to obtain the components of displacements, microrotation, stress and mass concentration, temperature change and mass concentration. A particular case of interest is deduced from the present investigation.

Keywords: Normal and tangential force, Microstretch, thermoelastic, The Integral transform technique.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1336416

References:

[1] Bofill F. and Quintanilla R., International Journal of Engineering Science, 1995, 33, 2115-2125.
[2] Cicco S.D., Stress concentration effects in microstretch elastic bodies, International Journal of Engineering Sciences, 2003, 41,187-199.
[3] Eringen A.C., A unified theory of thermo mechanical materials, International Journal of Engineering Sciences, 4(1966), 179-2-2.
[4] Eringen A.C., Micropolar elastic solids with stretch, Ari Kitabevi Matbassi, 24(1971), 1-18.
[5] Eringen A.C, Theory of thermomicrostretch elastic solids, International Journal of Engineering Science, vol. 28, no. 12, pp. 1291–1301, 1990.
[6] Kumar R. and Partap G., Dispersion of axisymmetric waves in thermo microstretch elastic plate, International Journal of Theoretical and Applied Sciences, 2009:72-81.
[7] Kumar R. and Partap G., Analysis of free vibrations fir Rayleigh —Lamb waves in a microstretch thermoelastic plate with two relaxation times, Journal of Engineering Physics and Thermo physics, Vol. 82, No. 1, 2009.
[8] Kumar R., Miglani A. and Kumar S., Normal mode analysis in fluid saturated porous medium, Multidiscipline modeling in materials and structures, vol. 7, issue 1, 2011, 29-43.
[9] Othman M.I.A., Effect of rotation on plane waves in generalized thermo-elasticity with two relaxation times, International Journal of Solid Structures, 41 (2004), issue 11-12, 2939-2956.
[10] Othman M.I.A., Atwa S.Y. and Farouk R.M., Generalized magneto-thermoviscoelastic plane waves under the effect of rotation without energy dissipation, International Journal of Engineering Sciences, 46(2008), 639-653.
[11] Othman M.I.A., Atwa S.Y., Jahangir A. and Khan A., Gravitational Effect on Plane Waves in Generalized Thermo-microstretch Elastic Solid under Green NaghdiTheory, Appl. Math. Inf. Sci. Lett. 1, No. 2, 25-38 (2013).
[12] Liu Xiaoning and Hu Gengkai, Inclusion problem in microstretch continuum, International Journal of Engineering Sciences, 2004; 42:849-860.
[13] Quintanilla R., on the spatial decay for the dynamical problem of thermo-microstretch elastic solids. International Journal of Engineering Sciences, 2002, 40,109-121.
[14] Singh Dilbag & Tomar S.K., Rayleigh-Lamb waves in a microstretch elastic plate cladded with liquid layers, 2007; 302: 313-331.
[15] Tomar S.K. and Garg M., Reflection and Transmission of waves from a plane interface between two microstretch solid half-spaces, International Journal of Engineering Sciences, 2005; 43:139-169.
[16] Kumar R. and Ailawalia, P., Electrodynamics of Inclined Loads in Micropolar Cubic Crystal, Mechanics and Mechanical Engineering 9 (2) (2005), 57-75.