Stabilization and improvement of the convergence of hybrid-Trefftz stress elements for plate bending analysis

被引：2

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, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal

[2] Univ Lisbon, Inst Super Tecn, CERIS, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal

来源：

COMPUTERS & STRUCTURES | 2024年 / 305卷

关键词：

Hybrid-Trefftz finite elements; Kirchhoff and Mindlin-Reissner plate bending; Boundary layer effects; FINITE-ELEMENT;

D O I：

10.1016/j.compstruc.2024.107519

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The polynomial boundary basis usually applied in the implementation of hybrid-Trefftz stress elements for plate bending is extended to render its rate of convergence insensitive to the shear-to-bending stiffness ratio of the plate. The boundary basis is also extended to improve the accuracy of the element in the modelling of boundary layer effects and of singular stress fields caused by wedge effects. Numerical testing problems are selected to illustrate and validate the effect of the proposed extensions on the stabilization and improvement of finite element solutions. The solutions modelling boundary layer effects in Mindlin-Reissner plates are used to recover the equivalent shear and corner force concepts of the Kirchhoff plate bending model.

引用

页数：14

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