Thermoviscoelastic deformations of functionally graded thin plates

被引：20

作者：

Zhang, Neng-Hui ^{[1
]}

Wang, Ming-Lu

机构：

[1] Shanghai Univ, Coll Sci, Dept Mech, Shanghai 200444, Peoples R China

[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

[3] Shandong Inst Light Ind, Jinan 250100, Peoples R China

来源：

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2007年 / 26卷 / 05期

关键词：

functionally graded plate; thermoviscoelastic bending; analytic method; variational principle; Ritz method; legendre interpolation method;

D O I：

10.1016/j.euromechsol.2007.03.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

By considering the influence of the mid-plane strains due to the inhomogeneous property of FGMs across the thickness, a constitutive equation of thermoviscoelastic functionally graded thin plates is reduced on the basis of the Kirchhoff's hypothesis for the classical plate theory. The corresponding simplified Gurtin's type variational principle of functionally graded thin plates is presented by means of the modem convolution bilinear forms. By using the Navier analytic method or combining the Ritz method in the spatial domain and the Legendre interpolation method in the temporal domain, the static thermoelastic deformations or quasi-static thermoviscoelastic deformations of functionally graded thin plates under mechanical or thermal loads are studied. (c) 2007 Elsevier Masson SAS. All rights reserved.

引用

页码：872 / 886

页数：15

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