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Thermo-Elastic Stress Behavior on Beams

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A Chakraborty et al [1] have studied the thermo-elastic behavior of functionally graded beam structures based on the first-order shear deformation theory and these properties are varying along its thickness. The governing differential equations are used to construct interpolating polynomials for the element formulation. To determine various stresses, both exponential and power-law variations of material property distribution are used. Thermal behaviors of functionally graded beam (FGB) by taking the distribution of material properties in exponential function were analyzed by GH Rahimi and AR Davoodinik [2]. The steady state of heat conduction with exponentially and hyperbolic variations through the thickness were consider for the use of thermal loading. They found that thermal behavior of both isotropic beam and functionally graded beam depend up on the temperature distribution. J N Reddy et al. [3] have investigated the dynamic thermo-elastic response of functionally graded cylinders and plates. A finite element model of the formulation was developed for the formulation of thermo-mechanical coupling. They solved are the heat conduction and the thermo-elastic equations for a functionally graded axisymmetric cylinder subjected to thermal loading and thermo-elastic boundary value problem using the first-order shear deformation plate theory. Both problems are studied by varying the volume fraction of a ceramic and a metal using a power law distribution. B.V. Sankar [4] has

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