A nonlinear theory for shells with slowly varying thickness

被引:16
|
作者
Lewicka, Marta [1 ]
Mora, Maria Giovanna [2 ]
Pakzad, Mohammad Reza [3 ]
机构
[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA
[2] Scuola Int Super Studi Avanzati, I-34014 Trieste, Italy
[3] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
基金
美国国家科学基金会;
关键词
3-DIMENSIONAL ELASTICITY; GAMMA-CONVERGENCE; DERIVATION; MODEL;
D O I
10.1016/j.crma.2008.12.017
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the Gamma-limit of 3d nonlinear elasticity for shells of small, variable thickness, around an arbitrary smooth 2d surface. To cite this article: M. Lewicka et al., C R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:211 / 216
页数:6
相关论文
共 50 条
  • [21] NONLINEAR BUCKLING OF A COLUMN WITH SLOWLY VARYING PROPERTIES.
    Hasan, Sayed D.
    Jamjoon, Talal
    Journal of Engineering Sciences, King Saud University, 1977, 3 (02): : 27 - 30
  • [22] APPLICATIONS OF SLOWLY VARYING NONLINEAR DISPERSIVE WAVE THEORIES
    ABLOWITZ, MJ
    STUDIES IN APPLIED MATHEMATICS, 1971, 50 (04) : 329 - &
  • [23] THEORY OF ELASTOPLASTIC SHELLS OF MEDIUM THICKNESS
    KANTOR, BY
    KATARZHNOV, SI
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1975, (01): : 52 - 54
  • [24] Towards a theory of shells of variable thickness
    Szwabowicz, Marek L.
    SHELL STRUCTURES: THEORY AND APPLICATIONS, VOL 2, 2010, : 99 - 102
  • [25] MULTIPURPOSE DESIGN OF MULTIVARIABLE NONLINEAR SLOWLY VARYING SYSTEM
    CHEN, BS
    HUANG, PY
    CHENG, YM
    CONTROL-THEORY AND ADVANCED TECHNOLOGY, 1994, 10 (03): : 403 - 430
  • [26] COMMENT ON SLOWLY VARYING CONDITION IN NONLINEAR FILTERED CIRCUITS
    BRUYLAND, I
    HAFNER, E
    PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1968, 56 (08): : 1381 - &
  • [27] Duality in nonlinear theory of shells
    Valid, R
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1999, 37 (12) : 1521 - 1547
  • [28] ON A NONLINEAR THEORY OF ELASTIC SHELLS
    COHEN, H
    DESILVA, CN
    JOURNAL DE MECANIQUE, 1968, 7 (03): : 459 - &
  • [29] Slowly varying dilaton cosmologies and their field theory duals
    Awad, Adel
    Das, Sumit R.
    Ghosh, Archisman
    Oh, Jae-Hyuk
    Trivedi, Sandip P.
    PHYSICAL REVIEW D, 2009, 80 (12):
  • [30] VIBRATION ANALYSIS OF MODERATE-THICK PLATES WITH SLOWLY VARYING THICKNESS
    李龙元
    AppliedMathematicsandMechanics(EnglishEdition), 1986, (07) : 707 - 714