Exact Solutions for Stresses in Double-layered Functionally Graded Hollow Disks or Cylinders

• Main Authors: Chien-Yu Cho, 卓建佑
• Other Authors: Ching-Hwei Chue
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/90025660314534074709

碩士 === 國立成功大學 === 機械工程學系碩博士班 === 96 === The purpose of this thesis is to investigate the stress field of functionally graded hollow disks or cylinders. The Young’s modulus and density are assumed to vary along the radial direction in a power law and Poisson’s ratio is assumed as a constant. The exact solutions for stresses in single-layered and double-layered functionally graded hollow disks or cylinders under internal pressure, external pressure and rotation are obtained by using the infinitesimal theory of elasticity. The effects of material inhomogeneity on stress field will be discussed graphically. As to a single-layered hollow disk, the stress field with different nonhomogeneous material parameter subjected to internal pressure, external pressure or rotation, respectively, will be discussed. For double-layered hollow disks, the dependency of stress field on the interference will then be emphasized. The critical rotating speed of the compound hollow disk can be determined when the contact pressure or interference between the disks is kept constant and the material distribution is varied. In additions, the derived stress field solutions can be reduced to several simple problems and compared well with the results previous studies.