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
  • [1] A Geometric Theory of Nonlinear Morphoelastic Shells
    Sadik, Souhayl
    Angoshtari, Arzhang
    Goriely, Alain
    Yavari, Arash
    JOURNAL OF NONLINEAR SCIENCE, 2016, 26 (04) : 929 - 978
  • [2] A general nonlocal theory and its approximations for slowly varying acoustic waves
    Shaat, M.
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2017, 130 : 52 - 63
  • [3] Nonlinear resultant theory of shells accounting for thermodiffusion
    Eremeyev, Victor A.
    Pietraszkiewicz, Wojciech
    CONTINUUM MECHANICS AND THERMODYNAMICS, 2021, 33 (04) : 893 - 909
  • [4] An Extended Synchronization Method to Identify Slowly Time-Varying Parameters in Nonlinear Systems
    Zhang, Xiaoxu
    Xu, Jian
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2018, 66 (02) : 428 - 437
  • [5] Isogeometric dynamic analysis of shells based on the nonlinear micropolar theory
    Norouzzadeh, A.
    Ansari, R.
    Darvizeh, M.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2021, 135
  • [6] Forced nonlinear vibrations of circular cylindrical sandwich shells with cellular core using higher-order shear and thickness deformation theory
    Yadav, Amit
    Amabili, Marco
    Panda, Sarat Kumar
    Dey, Tanish
    Kumar, Rajesh
    JOURNAL OF SOUND AND VIBRATION, 2021, 510
  • [7] Orthotopic-filtering-based fault diagnosis algorithms for nonlinear systems with slowly varying faults
    Wang, Ziyun
    Xu, Guixiang
    Liu, Zixing
    Wang, Yan
    Ji, Zhicheng
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (09): : 5610 - 5639
  • [8] On dynamics of gasless combustion in slowly varying periodic media
    Matson, Amanda
    Kagan, Leonid
    Brauner, Claude -Michel
    Sivashinsky, Gregory
    Gordon, Peter V.
    COMBUSTION AND FLAME, 2024, 267
  • [9] HOMOGENIZATION OF BENDING THEORY FOR PLATES; THE CASE OF OSCILLATIONS IN THE DIRECTION OF THICKNESS
    Marohnic, Maroje
    Velcic, Igor
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (06) : 2151 - 2168
  • [10] A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation
    Zhang, Run
    Zhong, Hongzhi
    Yao, Xiaohu
    Han, Qiang
    ACTA MECHANICA, 2020, 231 (05) : 1685 - 1709