Stable cracking particles method based on stabilized nodal integration and updated Lagrangian kernel
type: Item
instance of: scholarly article
title: Stable cracking particles method based on stabilized nodal integration and updated Lagrangian kernel
zbMATH Open document ID: 1407.74094
DOI: 10.1155/2014/646514
author: Xianqiang Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A stable cracking particles method (CPM) based on updated Lagrangian kernels is proposed. The idea of CPM is to model the crack topology by a set of cracked particles. Hence no representation of the crack surface is needed making the method useful for problems involving complex fracture patterns as they occur in dynamics and under fast loading conditions. For computational efficiency, nodal integration is exploited in the present paper. In order to avoid instabilities, a scheme is presented to stabilized the integration. Moreover, a set of simple cracking rules are proposed in order to prevent numerical fracture. The method is applied to two benchmark problems and shows good accuracy.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 7016938
describes a project that uses: XFEM
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/646514
OpenAlex ID: W2082470771
Wikidata QID: Q59068581
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