Elasticity solutions for functionally graded plates in cylindrical bending

• Published in: Applied mathematics and mechanics Vol. 29; no. 8; pp. 999 - 1004
• Main Author: 杨博 丁皓江 陈伟球
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.08.2008; Department of Civil Engineering, Zhejiang Forestry College, Lin'an 311300, Zhejiang Province, P. R. China%Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China; Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China
• Subjects: Applications of Mathematics; Bending; Boundary conditions; Classical Mechanics; Fluid- and Aerodynamics; Functionally gradient materials; Inhomogeneity; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Plate theory; Plates; Yttrium; 圆柱曲线; 弹性力学; 弹性解法; 物理研究; elasticity solutions; functionally graded plates; O343.1; 74B05; cylindrical bending
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-008-0803-9

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.