Hybrid strain based three-node flat triangular shell elements
type: Item
instance of: scholarly article
title: Hybrid strain based three-node flat triangular shell elements
zbMATH Open document ID: 0814.73068
DOI: 10.1016/0168-874X(94)90080-9
author: V. Pereyra
published in: Finite Elements in Analysis and Design
publication date: 1995-06-22T00:00:00Z
review text: A series of three flat triangular shell elements with three corner nodes and six-degrees-of-freedom per node is proposed. The elements are based on the Hellinger-Reissner hybrid strain formulation. Each of these elements is considered as a combination of a triangular bending element and plane stress element. The bending component is degenerate and isoparametric adopting the specially designed strain distribution to suppress shear-locking in the ``thin'' limit. Thus, they are generally applicable to thin and thick shells. The plane stress component is built on the basis of Allman's triangle. Effort has also been directed to study the drilling degrees-of-freedom. A scheme that has a more satisfactory physical basis, so that the resulting elements are capable of reflecting true normal rotations as well as desirable bending and membrane behaviour, is presented. Explicit expressions of all the three element stiffness matrices are derived.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 734636
zbMATH Keywords: Hellinger-Reissner formulation
zbMATH Keywords: corner nodes
zbMATH Keywords: six-degrees-of-freedom
zbMATH Keywords: plane stress element
zbMATH Keywords: Allman's triangle
zbMATH Keywords: stiffness matrices
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 734636