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International Journal for Numerical Methods in Engineering
Article . 2020 . Peer-reviewed
License: CC BY
Data sources: Crossref
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https://dx.doi.org/10.48550/ar...
Article . 2019
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Global cracking elements: A novel tool for Galerkin‐based approaches simulating quasi‐brittle fracture

Authors: Yiming Zhang; Herbert A. Mang; Herbert A. Mang;

Global cracking elements: A novel tool for Galerkin‐based approaches simulating quasi‐brittle fracture

Abstract

SummaryFollowing the so‐called cracking elements method (CEM), we propose a novel Galerkin‐based numerical approach for simulating quasi‐brittle fracture, named global cracking elements method (GCEM). For this purpose the formulation of the original CEM is reorganized. The new approach is embedded in the standard framework of the Galerkin‐based finite‐element method (FEM), which uses disconnected element‐wise crack openings for capturing crack initiation and propagation. The similarity between the proposed global cracking elements (GCEs) and the standard nine‐node quadrilateral element (Q9) suggests a special procedure: the degrees of freedom of the center node of the Q9, originally defining the displacements, are “borrowed” to describe the crack openings of the GCE. The proposed approach does not need remeshing, enrichment, or a crack‐tracking strategy, and it avoids a precise description of the crack tip. Several benchmark tests provide evidence that the new approach inherits from the CEM most of the advantages. The numerical stability and robustness of the GCEM are better than the ones of the CEM. However, presently only quadrilateral elements with nonlinear interpolations of the displacement field can be used.

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Keywords

Computational Engineering, Finance, and Science (cs.CE), FOS: Computer and information sciences, Computer Science - Computational Engineering, Finance, and Science

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
100
Top 1%
Top 10%
Top 1%