کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
280111 | 1430386 | 2006 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An inverse problem for a functionally graded elliptical plate with large deflection and slightly disturbed boundary An inverse problem for a functionally graded elliptical plate with large deflection and slightly disturbed boundary](/preview/png/280111.png)
This paper deals with the inverse problem of a functionally graded material (FGM) elliptical plate with large deflection and disturbed boundary under uniform load. The properties of functionally graded material are assumed to vary continuously through the thickness of the plate, and obey a simple power law expression based on the volume fraction of the constituents. Based on the classical nonlinear von Karman plate theory, the governing equations of a thin plate with large deflection were derived. In order to solve this non-classical problem, a perturbation technique was employed on displacement terms in conjunction with Taylor series expansion of the disturbed boundary conditions. The displacements of in-plane and transverse are obtained in a non-dimensional series expansion form with respect to center deflection of the plate. The approximate solutions of displacements are solved for the first three terms, and the corresponding internal stresses can also be obtained.
Journal: International Journal of Solids and Structures - Volume 43, Issue 20, October 2006, Pages 5981–5993