Modelling the effect of point forces and moments in plate bending with hybrid-Trefftz stress elements

被引：1
作者：
de Freitas, J. A. Teixeira [1 ]
Tiago, C. [2 ]
Pereira, E. M. B. R. [1 ]
机构：
[1] Univ Lisbon, Inst Super Tecn, Lisbon, Portugal
[2] Univ Lisbon, CERIS, Inst Super Tecn, Av Rovisco Pais 1, P-1049001 Lisbon, Portugal
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2024年 / 125卷 / 24期
关键词：
hybrid-Trefftz finite elements; Kirchhoff and Mindlin-Reissner plate bending; concentrated forces and moments; finite part integration; FINITE-ELEMENT;
D O I：
10.1002/nme.7587
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The formulation of the hybrid-Trefftz stress element for plate bending is extended to the modelling of concentrated forces and moments, either as prescribed loads or as reactions at point supports. As the bending, torsion and shear fields are hypersingular, the flexibility matrix of the element involves the use of the finite part integration concept. In addition, it requires the confirmation of the positive-definiteness of the flexibility under gross shape distortion. The tests illustrate the modelling of applied concentrated forces and moments and also the combination of boundary layer and point reaction effects. The results obtained are validated using converged solutions obtained with a stress-based hybrid-mixed element (HMS) and a displacement-based mixed element (MITC).
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页数：29
相关论文
共 20 条
[1]  
Bathe K., 2014, Finite element procedures, V2
[2]   HIGHER-ORDER MITC GENERAL SHELL ELEMENTS [J].
BUCALEM, ML ;
BATHE, KJ .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (21) :3729-3754
[3]   Stabilization and improvement of the convergence of hybrid-Trefftz stress elements for plate bending analysis [J].
de Freitas, J. A. Teixeira ;
Tiago, C. ;
Pereira, E. M. B. R. .
COMPUTERS & STRUCTURES, 2024, 305
[4]   A boundary integral Trefftz formulation with symmetric collocation [J].
de Freitas, JAT ;
Leitao, VMA .
COMPUTATIONAL MECHANICS, 2000, 25 (06) :515-523
[5]  
de Freitas JAT, 1999, COMPUT MECH, V23, P488
[6]  
de Freitas JAT., 2024, MODELLING KIRCHHOFF
[7]   POWERFUL FINITE-ELEMENT FOR PLATE BENDING [J].
JIROUSEK, J ;
LEON, N .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1977, 12 (01) :77-96
[8]   THE HYBRID-TREFFTZ FINITE-ELEMENT MODEL AND ITS APPLICATION TO PLATE BENDING [J].
JIROUSEK, J ;
GUEX, L .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1986, 23 (04) :651-693
[9]  
Kirchhoff GR, 1850, J REINE ANGEW MATH, V40, P51, DOI DOI 10.1515/CRLL.1850.40.51
[10]  
MINDLIN RD, 1951, J APPL MECH-T ASME, V18, P31
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