Numerical manifold method with endochronic theory for elastoplasticity analysis
type: Item
instance of: scholarly article
title: Numerical manifold method with endochronic theory for elastoplasticity analysis
zbMATH Open document ID: 1407.74019
DOI: 10.1155/2014/592870
author: Wei Zeng
author: Fei Kang
author: Junjie Li
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Numerical manifold method (NMM) was originally developed based on linear elastic constitutive model. For many problems it is difficult to obtain accurate results without elastoplasticity analysis, and an elastoplasticity version of NMM is needed. In this paper, the incremental endochronic theory is extended into NMM analysis and an endochronic NMM algorithm is proposed for elastoplasticity analysis. It is well known that endochronic theory is one of the widely used elastoplasticity theories which can deal with elastoplasticity problems without a yield surface and loading or unloading judgments. Numerical tests show that the proposed algorithm of endochronic NMM possesses a good accuracy. The proposed algorithm is also applied to analyze a crack problem and a soft clay foundation under traffic loading problem. Results demonstrate the convenience of the endochronic NMM in analyzing elastoplasticity discontinuous problems.
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 74G15
zbMATH DE Number: 7016804
Wikidata QID: Q59066326
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/592870
OpenAlex ID: W2072070451
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description: scientific article; zbMATH DE number 7016804