ELASTODYNAMIC BEHAVIOUR DUE TO MECHANICAL FORCES IN A MICROSTRETCH THERMOELASTIC HALF-SPACE WITH TWO-TEMPERATURES
Devinder Singh Pathania1, Arvind Kumar2, Rakesh Kumar3, Anjali4
1)Depart. of Mathematics, Guru Nanak Dev Engg. College, Ludhiana, Punjab, India
2)AMSSS Ukalana (Hisar), Department of Secondary Education, Haryana, India
3)GSSS Durjanpur (Hisar), Department of Secondary Education Haryana, India
4)Chandigarh University, Gharuan, India
The effect of two temperatures on the elastic properties of a generalized microstretch thermoelastic solid half-space has been investigated. The Green-Naghdi (GN) theory of thermoelasticity is adopted in the present research. The exact solutions of the problem are obtained in terms of the normal modes. Using the normal mode analysis technique, the mathematical expressions of displacement components, normal stress, couple tangential stress, tangential stress, micro stress and the temperature distribution are derived.
Keywords: two-temperatures, Green-Naghdi theory, microstretch thermoelastic, internal heat source, boundary value problem