An improved three-node hybrid-mixed element for Mindlin/Reissner plates

✍ Scribed by Rezak Ayad; Alain Rigolot; Nabyl Talbi

• Publisher: John Wiley and Sons
• Year: 2001
• Tongue: English
• Weight: 245 KB
• Volume: 51
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.188

✦ Synopsis

Abstract

Based on the mixed shear projected (MiSP) approach [6], an enhanced bending approximation for homogeneous isotropic plates is presented. Some hard benchmark tests, as skew plate (30°) problem for instance, have often shown poor convergence when low order elements (3‐ or 4‐node element) are developed using linear approximations for kinematic variables. To put right this weakness, we propose a high‐order interpolation for rotational dofs which results in more rich bending curvatures. The mid‐side rotational nodes are eliminated using a combination of local discrete kinematic and constitutive Mindlin hypothesises. The derived 3‐node triangular element, called MiSP3+, is free of shear locking and passes all patch‐tests for thick and thin plates in an arbitrary mesh. Copyright © 2001 John Wiley & Sons, Ltd.