A novel shape-free plane quadratic polygonal hybrid stress-function element
type: Item
instance of: scholarly article
title: A novel shape-free plane quadratic polygonal hybrid stress-function element
zbMATH Open document ID: 1394.74202
DOI: 10.1155/2015/491325
author: Pei-Lei Zhou
author: Song Cen
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A novel plane quadratic shape-free hybrid stress-function (HS-F) polygonal element is developed by employing the principle of minimum complementary energy and the fundamental analytical solutions of the Airy stress function. Without construction of displacement interpolation function, the formulations of the new model are much simpler than those of the displacement-based polygonal elements and can be degenerated into triangular or quadrilateral elements directly. In particular, it is quite insensitive to various mesh distortions and even can keep precision when element shape is concave. Furthermore, the element does not show any spurious zero energy modes. Numerical examples show the excellent performance of the new element, denoted by HSF-AP-19\(\beta\), in both displacement and stress solutions.
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6926476
describes a project that uses: ABAQUS
describes a project that uses: FEAPpv
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/491325
OpenAlex ID: W1528930951
Wikidata QID: Q59118732
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description: scientific article; zbMATH DE number 6926476