3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials

被引:0
作者
Jiang-ying Chen
Wei-qiu Chen
机构
[1] Ningbo University,Faculty of Engineering
[2] Zhejiang University,Department of Civil Engineering
来源
Journal of Zhejiang University-SCIENCE A | 2007年 / 8卷
关键词
Functionally graded materials; Transversely isotropic; Rotating annular plate; Analytical solution; O31;
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学科分类号
摘要
The analytical solution for an annular plate rotating at a constant angular velocity is derived by means of direct displacement method from the elasticity equations for axisymmetric problems of functionally graded transversely isotropic media. The displacement components are assumed as a linear combination of certain explicit functions of the radial coordinate, with seven undetermined coefficients being functions of the axial coordinate z. Seven equations governing these z-dependent functions are derived and solved by a progressive integrating scheme. The present solution can be degenerated into the solution of a rotating isotropic functionally graded annular plate. The solution also can be degenerated into that for transversely isotropic or isotropic homogeneous materials. Finally, a special case is considered and the effect of the material gradient index on the elastic field is illustrated numerically.
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页码:1038 / 1043
页数:5
相关论文
共 27 条
[1]  
Chen W.Q.(2004)Stresses in rotating cross-ply laminated hollow cylinders with arbitrary thickness The Journal of Strain Analysis for Engineering Design 39 437-445
[2]  
Lee K.Y.(2003)Three-dimensional analysis of magnetoelectroelastic rotating annular plate J. Zhejiang Univ. (Engineering Science) 37 440-251
[3]  
Chen J.Y.(2007)Three-dimensional analytical solution for a rotating disc of functionally graded materials with transverse isotropy Arch. Appl. Mech. 77 241-648
[4]  
Ding H.J.(1999)Rotating anisotropic disc of uniform strength Int. J. Mech. Sci. 41 639-516
[5]  
Hou P.F.(2007)Thermoelastic analysis of a functionally graded rotating disk Compos. Struct. 79 508-526
[6]  
Chen J.Y.(1978)The design of orthotropic materials for stress optimization Int. J. Solids Struct. 14 517-2295
[7]  
Ding H.J.(1998)Exact solutions for functionally graded and laminated elastic materials J. Mech. Phys. Solids 46 2283-640
[8]  
Chen W.Q.(1970)Elastic stresses in anisotropic disks of variable thickness Int. J. Mech. Sci. 12 627-477
[9]  
Jain R.(1974)Quasi-three dimensional elastic stresses in rotating disks Int. J. Mech. Sci. 16 473-10
[10]  
Ramachandra K.(1970)Optimum design of rotating disks J. Eng. Ind. 92 1-191