Modeling crack propagation in polycrystalline microstructure using variational multiscale method
type: Item
instance of: scholarly article
title: Modeling crack propagation in polycrystalline microstructure using variational multiscale method
zbMATH Open document ID: 1400.74096
DOI: 10.1155/2016/4715696
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: Crack propagation in a polycrystalline microstructure is analyzed using a novel multiscale model. The model includes an explicit microstructural representation at critical regions (stress concentrators such as notches and cracks) and a reduced order model that statistically captures the microstructure at regions far away from stress concentrations. Crack propagation is modeled in these critical regions using the variational multiscale method. In this approach, a discontinuous displacement field is added to elements that exceed the critical values of normal or tangential tractions during loading. Compared to traditional cohesive zone modeling approaches, the method does not require the use of any special interface elements in the microstructure and thus can model arbitrary crack paths. The capability of the method in predicting both intergranular and transgranular failure modes in an elastoplastic polycrystal is demonstrated under tensile and three-point bending loads.
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6953219
Wikidata QID: Q59131368
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4715696
OpenAlex ID: W2472678795
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description: scientific article; zbMATH DE number 6953219