Affiliation:
1. Babol Noshirvani University of Technology
Abstract
Abstract
This paper develops a novel set of displacement temperature potential functions to solve the thermoelastodynamic problems in functionally graded transversely isotropic media subjected to the thermal source. For this purpose, three-dimensional heat and wave equations have been considered to obtain the displacement temperature equations of motion in the case of functionally graded materials. A systematic method is used in the present work to decouple the elasticity and heat equations. For governing equations, one sixth order differential equation and two second order differential equations are obtained. Completeness proof of the solution is also presented using a retarded logarithmic Newtonian potential function for the functionally graded transversely isotropic domain. To verify the obtained solution, in a simpler case, potential functions have been generated for homogeneous transversely isotropic media that coincide with the respective equations. Presented potential functions can be used to solve the problems in various media like infinite and semi-infinite space, beams and columns, plates, shells, and etc. with arbitrary boundary conditions and subjected to arbitrary mechanical and thermal loads.
Publisher
Research Square Platform LLC
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