A new version of Hill’s lemma for Cosserat continuum

被引：0
|
作者：
Qipeng Liu
机构：
[1] Dalian Jiaotong University,School of Civil and Safety Engineering
来源：
Archive of Applied Mechanics | 2015年 / 85卷
关键词：
Cosserat continuum; Average-field theory; Hill’s lemma; Hill–Mandel condition; RVE boundary conditions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new version of Hill’s lemma is presented for micro- to macrohomogenization modeling of heterogeneous Cosserat continuum in the frame of average-field theory. From the presented Hill’s lemma, new forms of rotational displacement and surface couple boundary conditions on the representative volume element are extracted and checked.
引用
收藏
页码：761 / 773
页数：12
相关论文
共 50 条
  • [31] Cosserat continuum and shell theory
    Barta, T
    TRENDS IN STRUCTURAL MECHANICS: THEORY, PRACTICE, EDUCATION, 1997, 54 : 1 - 14
  • [32] STRESS FUNCTIONS IN COSSERAT CONTINUUM
    KESSEL, S
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1967, 47 (05): : 329 - &
  • [33] Computational implementation of Cosserat continuum
    Gomez, Juan
    Basaran, Cemal
    INTERNATIONAL JOURNAL OF MATERIALS & PRODUCT TECHNOLOGY, 2009, 34 (1-2): : 3 - 36
  • [34] An improvised version of Hill's cipher
    Viswanath, M. K.
    Deepti, A. R.
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2008, 11 (02): : 231 - 237
  • [35] A NEW VERSION OF FARKAS LEMMA AND GLOBAL CONVEX MAXIMIZATION
    JEYAKUMAR, V
    GLOVER, BM
    APPLIED MATHEMATICS LETTERS, 1993, 6 (05) : 39 - 43
  • [36] A SUBLINEAR VERSION OF SCHUR'S LEMMA AND ELLIPTIC PDE
    Quinn, Stephen
    Verbitsky, Igor E.
    ANALYSIS & PDE, 2018, 11 (02): : 439 - 466
  • [37] A convergent version of Watson's lemma for double integrals
    Ferreira, Chelo
    Lopez, Jose L.
    Perez Sinusia, Ester
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2023, 34 (03) : 196 - 210
  • [38] Framing functions and a strengthened version of Dehn's lemma
    Ito, Tetsuya
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2016, 25 (06)
  • [39] Hill's Lemma of Homogeneity for Granular Materials and Discrete Media
    Caillerie, D.
    BIFURCATION AND DEGRADATION OF GEOMATERIALS WITH ENGINEERING APPLICATIONS, 2017, : 467 - 473
  • [40] Generalized vector version of Minty's lemma and applications
    Lee, BS
    Chang, SS
    Jung, JS
    Lee, SJ
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (4-5) : 647 - 653
12345