Several three-dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion

被引：1

作者：

Bo YANG ^{[1
]}

Weiqiu CHEN ^{[2
,3
]}

Haojiang DING ^{[4
]}

机构：

[1] Department of Civil Engineering,Zhejiang Sci-Tech University

[2] State Key Laboratory of CAD & CG,Zhejiang University

[3] Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province,Soft Matter Research Center,Department of Engineering Mechanics,Zhejiang University,Yuquan Campus

[4] Department of Civil Engineering,Zhejiang University

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2016年 / 37卷 / 06期

基金：

中国国家自然科学基金;

关键词：

plate; functionally graded material(FGM); welded circular inclusion; analytical solution;

D O I：

暂无

中图分类号：

O343 [弹性力学];

学科分类号：

080102 ;

摘要：

The problem of a transversely isotropic functionally graded material(FGM)plate welded with a circular inclusion is considered.The analysis starts with the generalized England-Spencer plate theory for transversely isotropic FGM plates,which expresses a three-dimensional(3D) general solution in terms of four analytic functions.Several analytical solutions are then obtained for an infinite FGM plate welded with a circular inclusion and subjected to the loads at infinity.Three different cases are considered,i.e.,a rigid circular inclusion fixed in the space,a rigid circular inclusion rotating about the x-,y-,and 2-axes,and an elastic circular inclusion with different material constants from the plate itself.The static responses of the plate and/or the inclusion are investigated through numerical examples.

引用

页码：683 / 694

页数：12

共 37 条

[1] Several three-dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion
Yang, Bo
Chen, Weiqiu
Ding, Haojiang
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2016, 37 (06) : 683 - 694
[2] Several three-dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion
Bo Yang
Weiqiu Chen
Haojiang Ding
Applied Mathematics and Mechanics, 2016, 37 : 683 - 694
[3] Three-dimensional elastic solution of a transversely isotropic functionally graded rectangular plate
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Zhong, Zheng
MANUFACTURING ENGINEERING AND AUTOMATION II, PTS 1-3, 2012, 591-593 : 2655 - 2660
[4] An elasticity solution for transversely isotropic, functionally graded circular plates
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Nie, Guojun
Zhong, Zheng
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2016, 23 (04) : 451 - 457
[5] Three-dimensional fundamental solution for transversely isotropic piezothermoelastic material
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[7] Complete solutions of three-dimensional problems in transversely isotropic media
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[8] Three-dimensional vibrations of cracked rectangular parallelepipeds of functionally graded material
Huang, C. S.
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INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2013, 70 : 1 - 25
[9] Analytical Solution for the Three-Dimensional Vibration of a Rectangular Functionally Graded Material Plate with Two Simply Supported Opposite Faces
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INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2023, 23 (02)
[10] Response of rigid circular plate in a functionally graded transversely isotropic, half-space under horizontal steady-state excitation
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