Mechanical Changes Due to Pulse Heating in a Microstretch Thermoelastic Half-Space with Two-Temperatures

S.M. Abo-Dahab; Arvind Kumar; Praveen Ailawalia

doi:10.6180/jase.202003_23(1).0016

Mechanical Changes Due to Pulse Heating in a Microstretch Thermoelastic Half-Space with Two-Temperatures

S.M. Abo-Dahab This email address is being protected from spambots. You need JavaScript enabled to view it.^1,2, Arvind Kumar³ and Praveen Ailawalia⁴

¹Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia
²Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
³GGSSS Uklana Mandi (Hisar), Department of Secondary Education Haryana, India
⁴Department of Mathematics, Maharishi Markandeshwar University, Sadopur-Ambala, Haryana, India

Received: May 27, 2019
Accepted: October 10, 2019
Download Citation: ||https://doi.org/10.6180/jase.202003_23(1).0016

ABSTRACT

In the present paper, the effect of two temperatures and stretch effect on the elastic properties of a generalized microstretch thermoelastic solid half-space has been investigated. The boundary surface of the half-space is subjected to internal heat source. The Green-Naghdi (G-N) theory of thermoelasticity is adopted to present the analytical and numerical results in the present investigation. The exact solutions of the problem are obtained in terms of the normal modes by using the normal mode analysis technique. The mathematical expressions of displacement components, normal stress, couple tangential stress, tangential stress, microstress temperature distribution and conductive temperature are derived using appropriate boundary conditions. The variations of these considered variables are then depicted graphically with brief explanation. Some particular cases of interest have also been deduced from this study. The variation of temperature distribution with respect to time is also depicted graphically and discussed theoretically.

Keywords: Two-temperatures, Green-Naghdi theory, Microstretch thermoelastic, Internal heat source, Boundary value problem.

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