A novel solution to thermo-elasto-dynamic response for inhomogeneous orthotropic hollow cylinders

This paper proposes a novel solution for the radially FGM cylinder subjected to thermo-mechanical shock. By discretizing the state space equation in the spatial domain and applying the time marching technique based on central difference, a semi-analytical solution to the thermoelastic dynamic behavior of cylinders is developed. The proposed solution technique has two advantages, one is suitable for the arbitrariness of material properties varying in the radial direction, and the other is applicable to different boundary conditions. Numerical examples for the cylinders with different graded material properties and two different boundary conditions are examined. The obtained results not only verify the correctness and effectiveness of the present solution, but also demonstrate the flexibility of the present method. The influences of gradient functions and boundary conditions on dynamic behavior are clearly displayed. The solution method is convenient and practical, which may help to freely select the gradient function for the design of FGM cylinders under various conditions.