Two Dimensional Analysis of Functionally Graded Partial Annular Disk under Radial Thermal Shock Using Hybrid Fourier-Laplace Transform

Abstract:

In this paper, a dynamic two dimensional analysis of functionally graded partial annular disk under radial thermal shock is carried out by employing a hybrid Fourier-Laplace transform in conjunction with finite element approach. The material properties of functionally graded partial annular disk are assumed to vary continuously through the radius of the disk in power law form. 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. Using Fourier series expansion along circumstantial direction and then 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. A simply support boundary condition through circumferential and outer radius edges is assumed. The inverse of Laplace transfer is performed numerically to achieve the final solution in the real time domain. Finally, the results are validated with the known data reported in the literature.

• Periodical: Applied Mechanics and Materials (Volume 436)
• Pages: 92-99
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.436.92
• Online since: October 2013
• Authors: Seyed Mohsen Nowruzpour Mehrian*, Mohammad Hasan Naei
• Keywords: Couple Thermoelasticity, Functionally Graded Material (FGM), Lord-Shulman, Partial Anuular Disk, Two Dimensional

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