A Stabilized Algorithm of the Reissner-Mindlin Plates

Author

Guo YuanHui ; Song GuoQin ; Chen YuMei

Author_Institution

Exp. Center, China West Normal Univ., Nanchong, China

fYear

2013

fDate

21-23 June 2013

Firstpage

1959

Lastpage

1962

Abstract

This paper proposes a stabilized algorithm to design a high performance locking-free lowest order quadrilateral finite element for Reissner-Mindlin plates. It is based on the Hellinger-Reissner variational principle, which includes variables of displacements, shear stresses and bending moments. By adding a stabilization term of least-squares to the original hybrid scheme, and allowing independent approximations of the stress and moments, the stable and convergence can be ensured theoretically. Numerical examples confirm the theoretical results.

Keywords

bending; convergence of numerical methods; finite element analysis; least squares approximations; plates (structures); shear strength; variational techniques; Hellinger-Reissner variational principle method; Reissner-Mindlin plates; bending moments; convergence; displacement variables; high performance locking-free lowest order quadrilateral finite element method; least squares method; numerical examples; shear stress; stabilized algorithm; Approximation methods; Educational institutions; Finite element analysis; Mathematical model; Numerical models; Solid modeling; Stress; Reissner-Mindlin plates; locking-free; quadrilateral finite element; stabilized;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on

Conference_Location

Shiyang

Type

conf

DOI

10.1109/ICCIS.2013.512

Filename

6643431