Generalized Two Temperatures Thermoelasticity of Micropolar Porous Circular Plate with Three Phase Lag Model. (24th August 2017)

• Record Type: Journal Article
• Authors: Kumar, R.; Miglani, A.; Rani, R.
• Is Part Of: Journal of mechanics. Volume 34:Number 6(2018)
• Page Start: 779
• Page End: 789
• Publication Date: 2017-08-24
• Subjects: Micropolar porous -- Two temperature thermoelasticity -- Three phase lag model -- Laplace and Hankel transforms; Mechanics, Analytic -- Periodicals; Mechanics -- Periodicals; 620.1005
• DOI: 10.1017/jmech.2017.69
• Languages: English
• ISSNs: 1727-7191

Abstract

Abstract : The present study is to focus on the two dimensional problem of micropolar porous circular plate with three phase lag model within the context of two temperatures generalized thermoelasticity theory. The problem is solved by applying Laplace and Hankel transforms after using potential functions. The expressions of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain. To show the utility of the approach, normal force and thermal source are taken. The numerical inversion techniques of transforms have been carried out in order to evaluate the resulting quantities in the physical domain. Finally, the resulting quantities are depicted graphically to show the effect of porosity, two temperatures and phase lags.