Effective elastic properties and stress states of doubly periodic array of inclusions with complex shapes by isogeometric boundary element method

被引:27
作者
Bai, Y. [1 ]
Dong, C. Y. [1 ]
Liu, Z. Y. [1 ]
机构
[1] Beijing Inst Technol, Sch Aerosp Engn, Dept Mech, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
Isogeometric boundary element method (IGBEM); Inclusions; Effective elastic properties; Composite materials; IMPLEMENTATION;
D O I
10.1016/j.compstruct.2015.03.061
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Isogeometric analysis is a new numerical method that has received a lot of attentions in recent years. In this method, the same functions used in the CAD system are used to describe geometry and approximate the field variables in numerical discretization. The isogeometric finite element method (IGFEM) has widely been used to study various problems for a long time, but in the field of the boundary element method (BEM), researches about the isogeometric analysis have not yet attained more attentions. In this paper, we use the isogeometric boundary element method (IGBEM) to carry out the calculation of effective elastic properties and stress states of doubly periodic inclusions with complex shapes. The results obtained by the IGBEM are compared with those from the finite element method (FEM). We believe that this work clearly presents the power of the IGBEM and provides an efficient approach to investigate elastic behavior of composites containing various microstructures. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:54 / 69
页数:16
相关论文
共 26 条
  • [1] Aliabadi M.H., 2002, APPL SOLIDS STRUCTUR
  • [2] [Anonymous], 2009, Isogeometric Analysis: Toward Integration of CAD and FEA, DOI DOI 10.1016/j.advengsoft.2011.06.010
  • [3] Isogeometric collocation for elastostatics and explicit dynamics
    Auricchio, F.
    da Veiga, L. Beirao
    Hughes, T. J. R.
    Reali, A.
    Sangalli, G.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 249 : 2 - 14
  • [4] Isogeometric shell analysis: The Reissner-Mindlin shell
    Benson, D. J.
    Bazilevs, Y.
    Hsu, M. C.
    Hughes, T. J. R.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) : 276 - 289
  • [5] Brebbia C.A., 1992, Boundary elements
  • [6] An infinite plate weakened by periodic cracks
    Chen, YZ
    Lee, KY
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2002, 69 (04): : 552 - 555
  • [7] Two-dimensional elastic analysis of doubly periodic circular holes in infinite plane
    Chen, YZ
    Lee, KY
    [J]. KSME INTERNATIONAL JOURNAL, 2002, 16 (05): : 655 - 665
  • [9] Isogeometric analysis of structural vibrations
    Cottrell, J. A.
    Reali, A.
    Bazilevs, Y.
    Hughes, T. J. R.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (41-43) : 5257 - 5296
  • [10] Effective elastic properties of doubly periodic array of inclusions of various shapes by the boundary element method
    Dong, C. Y.
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (25-26) : 7919 - 7938