The incremental hybrid natural element method for elastoplasticity problems
type: Item
instance of: scholarly article
title: The incremental hybrid natural element method for elastoplasticity problems
zbMATH Open document ID: 1407.74090
DOI: 10.1155/2014/979216
author: Yongqi Ma
author: Yi Dong
author: Yankai Zhou
author: Wei Feng
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: An incremental hybrid natural element method (HNEM) is proposed to solve the two-dimensional elasto-plastic problems in the paper. The corresponding formulae of this method are obtained by consolidating the hybrid stress element and the incremental Hellinger-Reissner variational principle into the NEM. Using this method, the stress and displacement variables at each node can be directly obtained after the stress and displacement interpolation functions are properly constructed. The numerical examples are given to show the advantages of the proposed algorithm of the HNEM, and the solutions for the elasto-plastic problems are better than those of the NEM. In addition, the performance of the proposed algorithm is better than the recover stress method using moving least square interpolation.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74C05
zbMATH DE Number: 7017764
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/979216
OpenAlex ID: W2014583487
Wikidata QID: Q59071347
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description: scientific article; zbMATH DE number 7017764