Displacements, Strains, and Stresses Investigations in an Inhomogeneous Rotating Hollow Cylinder Made of Functionally Graded Materials under an Axisymmetric Radial Loading
Displacements, Strains, and Stresses Investigations in an Inhomogeneous Rotating Hollow Cylinder Made of Functionally Graded Materials under an Axisymmetric Radial Loading作者机构：Department of Physics Faculty of Sciences University of Douala Douala Cameroon Douala Institute of Technology Douala Cameroon Laboratory of Material Sciences Department of Physics Faculty of Sciences University of Yaoundé 1 Yaoundé Cameroon Department of Mine Mineral Processing and Environment School of Geology and Mining Engineering University of Ngaoundéré Meiganga Cameroon
出 版 物：《World Journal of Mechanics》 (力学国际期刊（英文）)
年 卷 期：2018年第8卷第3期
页 面：59-72页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Functionally Graded Materials Radial Stresses Tangential Stresses Cylinder Wall
摘 要：In this paper, an analytical and numerical study of strain fields, stress fields and displacements in a rotating hollow cylinder, whose walls were completely made in Functionally Graded Materials (FGM), was conducted. We have considered the rotating hollow cylinder submitted to an asymmetric radial loading. It is assumed that, because of the functional graduation of the material, the mechanical properties such as Young elastic modulus and the density varies in the radial direction, in accordance with a the power law function. The inhomogeneity parameter was selected between -1 and 1. On the basis of the second law of Newton, Hooke’s law and the strain-stress relationship, we established the differential equation which governs the equilibrium for a rotating hollow cylinder. We found the analytical solution and compared to the numerical solution obtained by using the shooting method and the fourth order Runge-Kutta algorithm. The analytical and numerical results lead to the conclusion that the magnitude of the tangential stresses is greater than that of the radial stresses. The changes due to the graduation of FGM does not produce consistent variations in the distribution of radial stresses, but strongly affects the distribution of tangential stresses. The tangential stresses, tangential strains and displacements are much higher at the inner surface of the cylinder wall. The internal radial pressure intensely affects the radial stresses and the radial strain.
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