Title :
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
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;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on
Conference_Location :
Shiyang
DOI :
10.1109/ICCIS.2013.512
