Mechanical Behavior and Optimization of Functionally Graded Hollow Cylinder with an Elliptic Hole

Document Type: Research Paper


1 Dep. of Mechanical Eng., Najafabad Branch, Islamic Azad University

2 Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran



This paper presents a numerical solution and optimization for a functionally graded material cylinder with an elliptic hole subjected to mechanical pressure. To obtain the governing equa-tions, an elliptic cylindrical coordinate is used. The material properties are considered to vary with power-law function along the elliptic cylindrical direction. For solved the equations, the differential quadrature method is used. The results show that the inconsistency in shape of the hole in the cylindrical vessel can affect the results expected and the stresses in thickness of cylinder are changed. Then, by using von-Misses stress along the thickness, the optimal values for various material inhomogeneity and the geometry of the cylinder investigated. The results show that with low values of the functionally graded material index, the geometry of the cyl-inder has more effect on von Misses stress. Also with high values for the material index, the values for von Misses stress converge together and the material inhomogeneity has less effect on stress. The results show that for various geometries for the cylinder and holes, the best value for material homogeneity to occur the optimum value for von Misses stress is changed. The presented results verified with those reported in previous publications.