Particle equilibrium method for crack propagation simulation
type: Item
instance of: scholarly article
title: Particle equilibrium method for crack propagation simulation
zbMATH Open document ID: 1427.74160
DOI: 10.1155/2018/5264319
author: Bo-Bo Xiong
author: Bin Tian
author: Xiao-chun Lu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Crack propagation simulation is constantly of great significance. This study presents the particle equilibrium method (PEM) to achieve this goal. PEM is based on the idealization of the problem domain as an assemblage of distinct particles, which release interaction forces to their surrounding particles. Once the distance between two particles exceeds the extreme distance, a permanent crack will emerge between them. The function of interaction force describes the mechanical response of elastic and plastic materials. The calculated structure attains its final state to the external load when all the particles reach the equilibrium condition of force. A calculation program is developed based on the proposed method's theory and is applied to three numerical examples with reliable calculation results.
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 74S25
Mathematics Subject Classification ID: 65N75
zbMATH DE Number: 7019107
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5264319
OpenAlex ID: W2808076400
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description: scientific article; zbMATH DE number 7019107