| Pure bending of simply supported circular plate of transversely isotropic functionally graded material |
| |
| 作者姓名： | LI Xiang-yu DING Hao-jiang CHEN Wei-qiu |
| |
| 作者单位： | Department of Civil Engineering，Zhejiang University，Hangzhou 310027，China |
| |
| 基金项目： | Project (Nos. 10472102 and 10432030) supported by the NationalNatural Science Foundation of China |
| |
| 摘 要： | INTRODUCTION In recent years, functionally graded materials (FGMs) have attracted more and more attention. Due to their continuously varying material properties in space on the macroscopic scale, FGMs, therefore, are usually superior to conventional fiber-matrix materi-als in mechanical behavior, especially for perform-ance under thermal loading. Now FGMs have been widely used in various fields including electronics, chemistry, optics, biomedicine, etc. Heretofore, volumes of literatu…
|
| 关 键 词： | 横向同性 功能梯度材料 FGMs 纯弯曲问题 轴对称变形 |
| 收稿时间： | 2006-01-10 |
| 修稿时间： | 2006-02-22 |
Pure bending of simply supported circular plate of transversely isotropic functionally graded material |
| |
| LI Xiang-yu DING Hao-jiang CHEN Wei-qiu.Pure bending of simply supported circular plate of transversely isotropic functionally graded material[J].Journal of Zhejiang University Science,2006,7(8):1324-1328. |
| |
| Authors: | Xiang-yu Li Hao-jiang Ding Wei-qiu Chen |
| |
| Institution: | (1) Department of Civil Engineering, Zhejiang University, Hangzhou, 310027, China |
| |
| Abstract: | This paper considers the pure bending problem of simply supported transversely isotropic circular plates with elastic compliance coefficients being arbitrary functions of the thickness coordinate. First, the partial differential equation, which is satisfied by the stress functions for the axisymmetric deformation problem is derived. Then, stress functions are obtained by proper manipulation. The analytical expressions of axial force, bending moment and displacements are then deduced through integration. And then, stress functions are employed to solve problems of transversely isotropic functionally graded circular plate, with the integral constants completely determined from boundary conditions. An elasticity solution for pure bending problem, which coincides with the available solution when degenerated into the elasticity solutions for homogenous circular plate, is thus obtained. A numerical example is finally presented to show the effect of material inhomogeneity on the elastic field in a simply supported circular plate of transversely isotropic functionally graded material (FGM). |
| |
| Keywords: | Transversely isotropic Functionally graded materials (FGMs) Pure bending problem Simply supported circular plate Axisymmetric deformation |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
