Stress field gradient analysis technique using lower-order \(C^0\) elements
type: Item
instance of: scholarly article
title: Stress field gradient analysis technique using lower-order \(C^0\) elements
zbMATH Open document ID: 1394.74014
DOI: 10.1155/2015/457046
author: Jianwei Xing
author: Gangtie Zheng
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: For evaluating the stress gradient, a mathematical technique based on the stress field of lower-order \(C^0\) elements is developed in this paper. With nodal stress results and location information, an overdetermined and inconsistent equation of stress gradient is established and the minimum norm least squares solution is obtained by the Moore-Penrose pseudoinverse. This technique can be applied to any element type in comparison with the superconvergent patch (SCP) recovery for the stress gradient, which requires the quadratic elements at least and has to invert the Jacobi and Hessian matrices. The accuracy and validity of the presented method are demonstrated by two examples, especially its merit of achieving high accuracy with lower-order linear \(C^0\) elements. This method can be conveniently introduced into the general finite element analysis programs as a postprocessing module.
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 6926394
Wikidata QID: Q59118633
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/457046
OpenAlex ID: W1584151190
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description: scientific article; zbMATH DE number 6926394