Shear stiffness prediction of Reissner-Mindlin plates with periodic microstructures

被引:14
作者
Xu, Liang [1 ]
Cheng, Gengdong [2 ]
机构
[1] Dalian Univ Technol, Dept Engn Mech, 2 Linggong Rd, Dalian, Peoples R China
[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian, Peoples R China
关键词
Asymptotic homogenization; effective shear stiffness; finite element method; periodic structures; Reissner-Mindlin plate; COMPOSITE; SANDWICH; CORE; VIBRATIONS;
D O I
10.1080/15376494.2016.1142021
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this article, an intuitionistic interpretation of the new numerical implementation of asymptotic homogenization for effective bending stiffness of in-plane periodic plate structures is presented. Based on this interpretation, a two-step method of effective shear stiffness prediction for their Reissner-Mindlin model is developed. An equivalent displacement field of linear curvature is applied to a unit cell in the first step; in the second step, a new unit cell problem is constructed and solved, and the effective shear stiffness is obtained through energy equivalence. This method can be easily implemented in commercial software and several examples are given to demonstrate its validity.
引用
收藏
页码:271 / 286
页数:16
相关论文
共 25 条
  • [1] Novel numerical implementation of asymptotic homogenization method for periodic plate structures
    Cai, Yuanwu
    Xu, Liang
    Cheng, Gengdong
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2014, 51 (01) : 284 - 292
  • [2] Transverse shear including skin effect for composite sandwich with honeycomb sinusoidal core
    Chen, An
    Davalos, Julio F.
    [J]. JOURNAL OF ENGINEERING MECHANICS, 2007, 133 (03) : 247 - 256
  • [3] Novel implementation of homogenization method to predict effective properties of periodic materials
    Cheng, Geng-Dong
    Cai, Yuan-Wu
    Xu, Liang
    [J]. ACTA MECHANICA SINICA, 2013, 29 (04) : 550 - 556
  • [4] Shear stiffness for Z-core sandwich panels
    Fung, TC
    Tan, KH
    [J]. JOURNAL OF STRUCTURAL ENGINEERING-ASCE, 1998, 124 (07): : 809 - 816
  • [5] VIBRATIONS OF THICK FREE CIRCULAR PLATES, EXACT VERSUS APPROXIMATE SOLUTIONS
    HUTCHINSON, JR
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1984, 51 (03): : 581 - 585
  • [6] Shear correction factors for corrugated core structures
    Isaksson, P.
    Krusper, A.
    Gradin, P. A.
    [J]. COMPOSITE STRUCTURES, 2007, 80 (01) : 123 - 130
  • [7] General micromechanical modeling of smart composite shells with application to smart honeycomb sandwich structures
    Kalamkarov, A. L.
    Saha, G. C.
    Georgiades, A. V.
    [J]. COMPOSITE STRUCTURES, 2007, 79 (01) : 18 - 33
  • [8] Kalamkarov A. L., 1987, Mechanics of Solids, V22, P175
  • [9] Kalamkarov A.L., 1992, Composite and Reinforced Elements of Construction
  • [10] Asymptotic Homogenization of Composite Materials and Structures
    Kalamkarov, Alexander L.
    Andrianov, Igor V.
    Danishevs'kyy, Vladyslav V.
    [J]. APPLIED MECHANICS REVIEWS, 2009, 62 (03) : 1 - 20