Three-Dimensional Exact Analysis of Functionally Graded Laminated Composite Plates

被引：5

作者：

Kulikov, Gennady M. ^{[1
]}

Plotnikova, Svetlana V. ^{[1
]}

机构：

[1] Tambov State Tech Univ, Tambov 392000, Russia

来源：

SHELL AND MEMBRANE THEORIES IN MECHANICS AND BIOLOGY: FROM MACRO- TO NANOSCALE STRUCTURES | 2015年

基金：

俄罗斯基础研究基金会;

关键词：

TRANSIENT THERMAL-STRESSES; SAMPLING SURFACES METHOD; THERMOELASTIC DEFORMATIONS; ELASTICITY SOLUTION;

D O I：

10.1007/978-3-319-02535-3_13

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A paper focuses on the implementation of the method of sampling surfaces (SaS) to three-dimensional (3D) exact solutions for functionally graded (FG) laminated composite plates. According to the SaS method, we introduce inside the nth layer I-n not equally spaced SaS parallel to the middle surface of the plate in order to choose the displacements of these surfaces as basic plate variables. This permits the presentation of the proposed FG laminated plate formulation in a very compact form. It is important that the SaS are located inside each layer at Chebyshev polynomial nodes. This fact allows one to uniformly minimize the error due to Lagrange interpolation, i.e. the use of Lagrange polynomials of high degree becomes possible. As a result, the SaS method can be applied efficiently to 3D exact solutions of elasticity for FG laminated plates with a specified accuracy utilizing the sufficient number of SaS.

引用

页码：223 / 241

页数：19

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