Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads

By J. Tarn. 2001

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Optimal Design of Functionally Graded Incompressible Linear Elastic Cylinders and Spheres (2008, background): “Tarn [11], and Tarn and Chang [12] have provided exact solutions for FG anisotropic cylinders subjected to thermal and mechanical loads, by assuming that all elastic constants are power law functions of the radiuswith the same exponent.”
Material tailoring and analysis of functionally graded isotropic and incompressible linear elastic hollow cylinders (2010, methodology): “By assuming that all elastic constants are power law functions of the radius with the same exponent, Tarn [10], and Tarn and Chang [11] have provided exact solutions for FG anisotropic cylinders subjected to thermal and mechanical loads.”
Static and dynamic analysis of 2‐D functionally graded elasticity by using meshless local petrov‐galerkin method (2004, background): “Tarn (2001) developed an exact solution for an FG anisotropic cylinder where the temperature distribution, deformations and stress fields are determined with power-law variations of thermoelastic constants.”
Exact Solutions and Material Tailoring for Functionally Graded Hollow Circular Cylinders (2010, background): “Tarn [15] has studied thermomechanical deformations of FG cylinders deformed in tension, torsion, shearing, and radial expansion due to pressure loading and temperature changes.”