An investigation on thermoelastic interactions under two-temperature thermoelasticity with two relaxation parameters. (July 2016)

• Record Type: Journal Article
• Authors: Kumar, Roushan; Kumar, Anil; Mukhopadhyay, Santwana
• Is Part Of: Mathematics and mechanics of solids. Volume 21:Number 6(2016:Aug.)
• Page Start: 725
• Page End: 736
• Publication Date: 2016-07
• Subjects: Thermoelastic interaction -- extended thermoelasticity theory -- temperature-rate dependent thermoelasticity generalized thermoelasticity -- two-temperature thermoelasticity -- short-time approximation; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/1081286514536429
• Languages: English
• ISSNs: 1081-2865

Abstract

The present work is concerned with the thermoelastic interactions in a linear, homogeneous, unbounded medium with a cylindrical cavity in the context of the theory of two-temperature thermoelasticity with two relaxation parameters. This theory takes into account that heat conduction in deformable bodies depends on two different temperatures: the conductive temperature and the thermodynamic temperature. The surface of the cavity is assumed to be stress free and subjected to a thermal shock. The problem is formulated on the basis of a thermoelastic model with two relaxation parameters proposed by Green and Lindsay and the two-temperature model suggested by Youssef in a unified way in order to make a detailed comparison between the two models by deriving the short-time approximated solutions for fields analytically. The results are also compared with the earlier findings. Significant dissimilarities among different models of thermoelasticity are pointed out. This study highlights a very significant feature of a two-temperature thermoelastic model.