An elasticity solution for transversely isotropic, functionally graded circular plates

被引：8
作者：
Lu, Yingya [1 ]
Shi, Juntao [1 ]
Nie, Guojun [1 ]
Zhong, Zheng [1 ]
机构：
[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2016年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Functionally graded materials; transversely isotropic materials; circular plate; displacement function; analytical solution; Bessel function; BEAMS;
D O I：
10.1080/15376494.2014.984091
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This article presents a new elasticity solution for transversely isotropic, functionally graded circular plates subject to axisymmetric loads. It is assumed that the material properties vary along the thickness of a circular plate according to an exponential form. By extending the displacement function presented by Plevako to he case of transversely isotropic material, we derived the governing equation of the problem studied. The displacement function was assumed as the sum of the Bessel function and polynomial function to obtain the analytical solution of a transversely isotropic, functionally graded circular plate under different boundary conditions. As a numerical example, the influence of the graded variations of the material properties on the displacements and stresses was studied. The results demonstrate that the graded variations have a significant effect on the mechanical behavior of a circular plate.
引用
收藏
页码：451 / 457
页数：7
相关论文
共 50 条
  • [41] Thermoelastic damping in functionally graded material circular micro plates
    Li, Shirong
    Chen, Shun
    Xiong, Peng
    JOURNAL OF THERMAL STRESSES, 2018, 41 (10-12) : 1396 - 1413
  • [42] Elasticity solutions for functionally graded annular plates subject to biharmonic loads
    Yang, B.
    Chen, W. Q.
    Ding, H. J.
    ARCHIVE OF APPLIED MECHANICS, 2014, 84 (01) : 51 - 65
  • [43] Analyses of Circular Magnetoelectroelastic Plates with Functionally Graded Material Properties
    Sladek, J.
    Sladek, V.
    Krahulec, S.
    Chen, C. S.
    Young, D. L.
    MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2015, 22 (06) : 479 - 489
  • [44] Elasticity solutions for functionally graded annular plates subject to biharmonic loads
    B. Yang
    W. Q. Chen
    H. J. Ding
    Archive of Applied Mechanics, 2014, 84 : 51 - 65
  • [45] Dynamic equations for solid isotropic radially functionally graded circular cylinders
    Abadikhah, Hossein
    Folkow, Peter D.
    COMPOSITE STRUCTURES, 2018, 195 : 147 - 157
  • [46] Variational Solution and Numerical Simulation of Bimodular Functionally Graded Thin Circular Plates under Large Deformation
    He, Xiao-Ting
    Wang, Xiao-Guang
    Pang, Bo
    Ai, Jie-Chuan
    Sun, Jun-Yi
    MATHEMATICS, 2023, 11 (14)
  • [47] AN ANALYTICAL SOLUTION FOR TRANSIENT THREE DIMENSIONAL THERMOELASTICITY OF FUNCTIONALLY GRADED CIRCULAR PLATES DUE TO AXISYMMETRIC LOADS
    Jabbari, M.
    Haghighat, H.
    Shahryari, E.
    Eslami, M. R.
    PROCEEDINGS OF THE 7TH INTERNATIONAL CONFERENCE ON MECHANICS AND MATERIALS IN DESIGN (M2D2017), 2017, : 549 - 550
  • [48] Response of rigid circular plate in a functionally graded transversely isotropic, half-space under horizontal steady-state excitation
    Kalantari, M.
    Khaji, N.
    MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2024, 52 (01) : 102 - 125
  • [49] Thermo elasticity solution of sandwich circular plate with functionally graded core using generalized differential quadrature method
    Alibeigloo, A.
    COMPOSITE STRUCTURES, 2016, 136 : 229 - 240
  • [50] Elasticity Solutions for Annular Plates of Functionally Graded Materials Subjected to a Uniform Load
    Yang, B.
    Zhang, X.
    Yu, H. Y.
    ADVANCES IN BUILDING MATERIALS, PTS 1-3, 2011, 261-263 : 853 - 857
12345