Coupled Thermoelasticity Analysis of Annular Laminate Disk Using Laplace Transform and Galerkin Finite Element Method

Abstract:

In this paper, a dynamic analysis of annular laminate disk under radial thermal shock is carried out by employing a Galerkin Finite Element (GFE) approach. The governing equations, including the equation of the motion and energy equation are obtained based on Lord-Shulman theory. These two equations are solved simultaneously to obtain the displacement components and temperature distributions. A simply support boundary condition through outer edge is assumed for the annular disk. The inner radius is subjected to thermal shock and free of any traction. The outer edge is keeping at a constant temperature. Using Laplace transfer technique to transfer the governing equations into the space domain, where the Galerkin Finite Element Method is employed to obtain the solution in space domain. The inverse of Laplace transfer is performed numerically to achieve the final solution in the real time domain. The results are validated with the known data reported in the literature.

• Periodical: Applied Mechanics and Materials (Volume 656)
• Pages: 298-304
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.656.298
• Online since: October 2014
• Authors: S.M. Nowruzpour Mehrian, Amin Nazari, Mohammad Hasan Naei*
• Keywords: Annular Disk, Coupled Thermoelasticity, Laminate, Lord-Shulman Theory

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