35. Dynamic problem in 3D thermoelastic half‑space with rotation in context of G-N type II and type III

S. Santra1, A. Lahiri2, N. C. Das3

1Gargi Memorial Institute of Technology, Kolkata, 700144, India

2, 3Department of Mathematics, Jadavpur University, Kolkata, 700032, India

1Corresponding author

E-mail: 1sutapasantra.ismu.math@gmail.com, 2lahiriabhjit2000@yahoo.com, 3ncdasmaths@gmail.com

Received 29 December 2016; received in revised form 17 January 2017; accepted 18 January 2017

DOI https://doi.org/10.21595/mme.2017.18143

 

Abstract. In this paper, comparison between G-N model of type II (without energy dissipation) and G-N model of type III (with energy dissipation) has been shown in a three dimensional thermoelastic half space with rotation subjected to time dependent heat source on the traction free boundary. Eigenvalue methodology has been adopted to solve the equations resulting from the application of the Normal mode analysis to the non-dimensional coupled equations. Variation of the numerically computed values of thermal stresses and temperature with and without rotation has been illustrated graphically.

Keywords: anaisotropic half space, G-N model II and III, normal mode analysis, eigenvalue approach.

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Cite this article

Santra S., Lahiri A., Das N. C. Dynamic problem in 3D thermoelastic half‑space with rotation in context of G‑N type II and type III. Mathematical Models in Engineering, Vol. 3, Issue 1, 2017, p. 58‑70.

 

Mathematical Models in Engineering. June 2017, Volume 3, Issue 1

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