An asymptotically exact first-order shear deformation theory for functionally graded plates

被引：13
|
作者：
Le, K. C. [1 ,2 ]
机构：
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Civil Engn, Ho Chi Minh City, Vietnam
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2023年 / 190卷
关键词：
Functionally graded; Plate; Variational-asymptotic method; Wave propagation; Dispersion curves; ELASTIC-WAVES; PROPAGATION; FORMULATION;
D O I：
10.1016/j.ijengsci.2023.103875
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An asymptotically exact first-order shear deformation theory for functionally graded elastic plates is derived using the variational-asymptotic method. As an application, an analytical solution to the problem of wave propagation in a sandwich plate is found in accordance with this refined theory. Comparison between the dispersion curves obtained by 2-D plate theory and 3-D elasticity theory reveals that the former is accurate up to the order of h(2)/l(2), where h is the plate thickness and l the wavelength.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Analysis of functionally graded sandwich plates using a new first-order shear deformation theory
    Huu-Tai Thai
    Trung-Kien Nguyen
    Vo, Thuc P.
    Lee, Jaehong
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2014, 45 : 211 - 225
  • [2] Buckling of functionally graded circular/annular plates based on the first-order shear deformation plate theory
    Ma, LS
    Wang, TJ
    ADVANCES IN FRACTURE AND FAILURE PREVENTION, PTS 1 AND 2, 2004, 261-263 : 609 - 614
  • [3] A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates
    Thai, Huu-Tai
    Choi, Dong-Ho
    COMPOSITE STRUCTURES, 2013, 101 : 332 - 340
  • [4] Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory
    Hosseini-Hashemi, Sh.
    Taher, H. Rokni Damavandi
    Akhavan, H.
    Omidi, M.
    APPLIED MATHEMATICAL MODELLING, 2010, 34 (05) : 1276 - 1291
  • [5] Analysis of functionally graded beam using a new first-order shear deformation theory
    Hadji, Lazreg
    Daouadji, T. Hassaine
    Meziane, M. Ait Amar
    Tlidji, Y.
    Bedia, E. A. Adda
    STRUCTURAL ENGINEERING AND MECHANICS, 2016, 57 (02) : 315 - 325
  • [6] Vibration and buckling analysis of functionally graded sandwich plates with improved transverse shear stiffness based on the first-order shear deformation theory
    Trung-Kien Nguyen
    Vo, Thuc P.
    Huu-Tai Thai
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2014, 228 (12) : 2110 - 2131
  • [7] First-order shear deformation plate models for functionally graded materials
    Nguyen, Trung-Kien
    Sab, Karam
    Bonnet, Guy
    COMPOSITE STRUCTURES, 2008, 83 (01) : 25 - 36
  • [8] A Four-Variable First-Order Shear Deformation Theory Considering the Variation of In-plane Rotation of Functionally Graded Plates
    Minwo Park
    Dong-Ho Choi
    International Journal of Steel Structures, 2018, 18 : 1265 - 1283
  • [9] A Four-Variable First-Order Shear Deformation Theory Considering the Variation of In-plane Rotation of Functionally Graded Plates
    Park, Minwo
    Choi, Dong-Ho
    INTERNATIONAL JOURNAL OF STEEL STRUCTURES, 2018, 18 (04) : 1265 - 1283
  • [10] Analysis of functionally graded plates using higher order shear deformation theory
    Taj, M. N. A. Gulshan
    Chakrabarti, Anupam
    Sheikh, Abdul Hamid
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (18-19) : 8484 - 8494
12345