功能梯度板柱面弯曲的弹性力学解

杨博; 丁皓江; 陈伟球

功能梯度板柱面弯曲的弹性力学解

1.
浙江大学土木工程系, 杭州 310027;2.浙江林学院土木工程系, 浙江临安 311300

基金项目: 国家自然科学基金资助项目(10472102;10725210;10432030)

详细信息

作者简介:
杨博(1979- ),男,宁夏灵武人,讲师,博士生(E-mail:bo.young@163.com);丁皓江(1934- ),男,江苏常州人,教授,博士生导师(E-mail:dinghj@zju.edu.cn);陈伟球(1969- ),男,江苏吴江人,教授,博士生导师(联系人.Tel:+86-571-87952267;Fax:+86-571-87952165;E-mail:chenwq@zju.edu.cn).

中图分类号: O343.1
计量
- 文章访问数: 2906
- HTML全文浏览量: 122
- PDF下载量: 665
- 被引次数: 0
出版历程
- 收稿日期: 2008-06-30
- 修回日期: 2008-07-03
- 刊出日期: 2008-08-15

Elasticity Solutions for Functionally Graded Plates in Cylindrical Bending

1.
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;

摘要

摘要: 利用推广后的Main和Spencer功能梯度板理论,研究了功能梯度矩形板在均布荷载作用下的柱面弯曲问题．采用该理论中的位移展开公式,并且材料参数沿板厚方向可以任意连续变化,但将材料由各向同性推广到正交各向异性,以及由不考虑板的横向荷载作用发展到受横向均布荷载作用．假设板在y方向无限长,从而得到了一个从弹性力学理论出发的正交各向异性功能梯度板在横向均布荷载作用下柱面弯曲问题的板理论．通过算例分析,讨论了边界条件和梯度变化程度对功能梯度板静力响应的影响．
- 功能梯度板 /
- 柱面弯曲 /
- 弹性力学解
Abstract: The plate theory of functionally graded materials suggested by Mian and fencer is extended to analyze the cylindrical bending problem of a functionally graded rectangular plate subject to uniform load.The expansion formula for displacements was adopted.While keeping the assumption that the material parameters can vary along the thiclmess direction in an arbitrary fashion,it was considerect orthotropic materials rather than isotropic materials.In addition,the traction-free condition on the top surface was replaced by the condition of uniform load applied on the top surface.The plate theory for the particular case of cylindrical bending was presented by considering an infinite extent in the y-direction.The effects of boundary conditions and material inhomogeneity on the static response of functionally graded plates were inwestigated through a numerical example.
- functionally graded plates /
- cylindrical bending /
- elastiaty

HTML全文

参考文献(9)

[1]	Reddy J N,Wang C M,Kitipornchai S.Axisymmetric bending of functionally graded circular and annular plates[J].European Journal of Mechanics A-Solids,1999,18(1):185-199. doi: 10.1016/S0997-7538(99)80011-4
[2]	Cheng Z G，Batra R C.Three-dimensional thermoelastic deformations of a functionally graded elliptic plate[J].Composites B,2000,31(2):97-106.
[3]	Bian Z G,Chen W Q,Lim C W，et al.Analytical solutions for single- and multi-span functionally graded plates in cylindrical bending[J].International Journal of Solids and Structures,2005,42(24/25):6433-6456. doi: 10.1016/j.ijsolstr.2005.04.032
[4]	Chi S H，Chung Y L. Mechanical behavior of functionally graded material plates under transverse load—Part Ⅰ: Analysis[J].International Journal of Solids and Structures,2006,43(13): 3657-3674. doi: 10.1016/j.ijsolstr.2005.04.011
[5]	Chi S H，Chung Y L. Mechanical behavior of functionally graded material plates under transverse load—Part Ⅱ:Numerical results[J].International Journal of Solids and Structures,2006,43(13):3675-3691. doi: 10.1016/j.ijsolstr.2005.04.010
[6]	Li X Y,Ding H J，Chen W Q. Pure bending of simply supported circular plate of transversely isotropic functionally graded material[J].Journal of Zhejiang University,Science A,2006,7(8):1324-1328. doi: 10.1631/jzus.2006.A1324
[7]	Li X Y,Ding H J，Chen W Q. Elasticity solutions for a transversely isotropic functionally graded circular plate subject to an axisymmetric transverse load qrk[J].International Journal of Solids and Structures,2008,45(1):191-210. doi: 10.1016/j.ijsolstr.2007.07.023
[8]	Mian A M，Spencer A J M.Exact solutions for functionally graded and laminated elastic materials[J].Journal of the Mechanics and Physics of Solids,1998,46(12):2283-2295. doi: 10.1016/S0022-5096(98)00048-9
[9]	England A H. Bending solution for inhomogeneous and laminated elastic plates[J].Journal of Elasticity,2006,82(2):129-173. doi: 10.1007/s10659-005-9029-x