An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates

Chih-Ping Wu, Hao Yuan Li

研究成果: Article同行評審

59 引文 斯高帕斯(Scopus)

摘要

A Reissner mixed variational theorem (RMVT)-based third-order shear deformation theory (TSDT) is developed for the static analysis of simply-supported, multilayered functionally graded material (FGM) plates under mechanical loads. The material properties of the FGM layers are assumed to obey either the exponent-law distributions through the thickness coordinate or the power-law distributions of the volume fractions of the constituents. In this theory, Reddy's third-order displacement model and the layerwise parabolic function distributions of transverse shear stresses are assumed in the kinematic and kinetic fields, respectively, a priori, where the effect of transverse normal stress is regarded as minor and thus ignored. The continuity conditions of both transverse shear stresses and elastic displacements at the interfaces between adjacent layers are then exactly satisfied in this RMVT-based TSDT. On the basis of RMVT, a set of Euler-Lagrange equations associated with the possible boundary conditions is derived. In conjunction with the method of variable separation and Fourier series expansion, this theory is successfully applied to the static analysis of simply-supported, multilayered FGM plates under mechanical loads. A parametric study of the effects of the material-property gradient index and the span-thickness ratio on the displacement and stress components induced in the plates is undertaken.

原文English
頁(從 - 到)2591-2605
頁數15
期刊Composite Structures
92
發行號10
DOIs
出版狀態Published - 2010 九月 1

All Science Journal Classification (ASJC) codes

  • 陶瓷和複合材料
  • 土木與結構工程

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