Elasticity solutions for functionally graded plates in cylindrical bending  

作　　者：杨博 丁皓江 陈伟球 

机构地区：[1]Department of Civil Engineering,Zhejiang University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第8期999-1004,共6页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(Nos.10472102,10725210 and 10432030)

摘　　要：The plate theory of functionally graded materials suggested by Mian and Spencer is extended to analyze the cylindrical bending problem of a functionally graded rectangular plate subject to uniform load. The expansion formula for displacements is adopted. While keeping the assumption that the material parameters can vary along the thickness direction in an arbitrary fashion, this paper considers orthotropic materials rather than isotropic materials. In addition, the traction-free condition on the top surface is replaced with the condition of uniform load applied on the top surface. The plate theory for the particular case Of cylindrical bending is presented by considering an infinite extent in the y-direction. Effects of boundary conditions and material inhomogeneity on the static response of functionally graded plates are investigated through a numerical example.The plate theory of functionally graded materials suggested by Mian and Spencer is extended to analyze the cylindrical bending problem of a functionally graded rectangular plate subject to uniform load. The expansion formula for displacements is adopted. While keeping the assumption that the material parameters can vary along the thickness direction in an arbitrary fashion, this paper considers orthotropic materials rather than isotropic materials. In addition, the traction-free condition on the top surface is replaced with the condition of uniform load applied on the top surface. The plate theory for the particular case Of cylindrical bending is presented by considering an infinite extent in the y-direction. Effects of boundary conditions and material inhomogeneity on the static response of functionally graded plates are investigated through a numerical example.

关 键 词：functionally graded plates cylindrical bending elasticity solutions 

分 类 号：O343.1[理学—固体力学]