A DISCONTINUOUS PETROV-GALERKIN METHOD FOR REISSNER-MINDLIN PLATES

被引：0
|
作者：
Fuhrer, Thomas [1 ]
Heuer, Norbert [1 ]
Niemi, Antti H. [2 ]
机构：
[1] Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile
[2] Univ Oulu, Fac Technol, Civil Engn Res Unit, Pentti Kaiteran Katu 1, Oulu 90570, Finland
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2023年 / 61卷 / 02期
关键词：
DPG method; plate bending; Reissner-Mindlin model; locking; FINITE-ELEMENT-METHOD; LEAST-SQUARES; DPG METHODS;
D O I：
10.1137/22M1498838
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model. Our method is based on a variational formulation that utilizes a Helmholtz decomposition of the shear force. It produces approximations of the primitive variables and the bending moments. For any canonical selection of boundary conditions the method converges quasi-optimally. In the case of hard-clamped convex plates, we prove that the lowest-order scheme is locking free. Several numerical experiments confirm our results.
引用
下载
收藏
页码：995 / 1017
页数：23
相关论文
共 50 条
  • [31] Mathematical models of Reissner-Mindlin thermoviscoelastic plates
    Giorgi, C
    Naso, MG
    JOURNAL OF THERMAL STRESSES, 2006, 29 (07) : 699 - 716
  • [32] An improved theory of laminated Reissner-Mindlin plates
    Formica, Giovanni
    Lembo, Marzio
    Podio-Guidugli, Paolo
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2014, 51 (7-8) : 1562 - 1575
  • [33] APPROXIMATION OF THE BUCKLING PROBLEM FOR REISSNER-MINDLIN PLATES
    Lovadina, Carlo
    Mora, David
    Rodriguez, Rodolfo
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (02) : 603 - 632
  • [34] Nonconforming finite elements for Reissner-Mindlin plates
    Chinosi, C
    Lovadina, C
    Marini, LD
    Applied and Industrial Mathematics in Italy, 2005, 69 : 213 - 224
  • [35] Thermal bending of Reissner-Mindlin plates by the MLPG
    Sladek, J.
    Sladek, V.
    Solek, P.
    Wen, P. H.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2008, 28 (01): : 57 - 76
  • [36] Numerical Analysis of Mindlin Shell by Meshless Local Petrov-Galerkin Method
    Di Li
    Zhongqin Lin
    Shuhui Li
    Acta Mechanica Solida Sinica, 2008, 21 : 160 - 169
  • [37] Numerical analysis of Mindlin shell by meshless local Petrov-Galerkin method
    Li, Di
    Lin, Zhongqin
    Li, Shuhui
    ACTA MECHANICA SOLIDA SINICA, 2008, 21 (02) : 160 - 169
  • [38] Discontinuous Galerkin with Weakly Over-Penalized Techniques for Reissner–Mindlin Plates
    Paulo Rafael Bösing
    Carsten Carstensen
    Journal of Scientific Computing, 2015, 64 : 401 - 424
  • [39] Multiscale discontinuous Petrov-Galerkin method for the multiscale elliptic problems
    Song, Fei
    Deng, Weibing
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 34 (01) : 184 - 210
  • [40] IMPLICIT BOUNDARY APPROACH FOR REISSNER-MINDLIN PLATES
    Chen, Hailong
    Kumar, Ashok V.
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2013, VOL 2A, 2014,
12345