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A robust interface finite element formulation for modeling brittle material failure problems
Abstract
Abstract Failure of many brittle materials and structures can be modeled using interface‐oriented finite elements combined with intrinsic cohesive zone models. The discontinuous Galerkin (DG) finite element method provides an innovative framework for modeling brittle crack propagation with zero‐thickness interface elements, which can accommodate extrinsic cohesive laws to avoid the artificial compliance required in intrinsic cohesive models. However, robust formulations and implementations of DG methods are critical in alleviating the well‐known convergence issues for both crack nucleation and propagation with reduced instability. This paper presents a robust interface element formulation by modifying the incomplete interior penalty Galerkin (IIPG) method, which successfully avoids the initial element interface penetration across elements that occurs prior to crack nucleation, and thereby greatly reduces the instability issue as cracks open. We further verified and validated our implementation by using a bar tension test and a beam fracturing benchmark. The robustness of our proposed interface element method was demonstrated by a micromechanics fiber/matrix debonding problem with 64 fibers embedded in a bulk matrix.
- Authors:
-
[1];
[1];
- Department of Computational Framework Idaho National Laboratory Idaho Falls Idaho USA
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 2204903
- Grant/Contract Number:
- DE‐AC07‐05ID14517
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- International Journal for Numerical Methods in Engineering
- Additional Journal Information:
- Journal Name: International Journal for Numerical Methods in Engineering Journal Volume: 124 Journal Issue: 23; Journal ID: ISSN 0029-5981
- Publisher:
- Wiley Blackwell (John Wiley & Sons)
- Country of Publication:
- United Kingdom
- Language:
- English
Citation Formats
Liu, Ruijie, Jin, Wencheng, Harbour, Logan, Kong, Fande, Permann, Cody, Gaston, Derek, and Podgorney, Robert. A robust interface finite element formulation for modeling brittle material failure problems. United Kingdom: N. p., 2023.
Web. doi:10.1002/nme.7298.
Liu, Ruijie, Jin, Wencheng, Harbour, Logan, Kong, Fande, Permann, Cody, Gaston, Derek, & Podgorney, Robert. A robust interface finite element formulation for modeling brittle material failure problems. United Kingdom. https://doi.org/10.1002/nme.7298
Liu, Ruijie, Jin, Wencheng, Harbour, Logan, Kong, Fande, Permann, Cody, Gaston, Derek, and Podgorney, Robert. Mon .
"A robust interface finite element formulation for modeling brittle material failure problems". United Kingdom. https://doi.org/10.1002/nme.7298.
@article{osti_2204903,
title = {A robust interface finite element formulation for modeling brittle material failure problems},
author = {Liu, Ruijie and Jin, Wencheng and Harbour, Logan and Kong, Fande and Permann, Cody and Gaston, Derek and Podgorney, Robert},
abstractNote = {Abstract Failure of many brittle materials and structures can be modeled using interface‐oriented finite elements combined with intrinsic cohesive zone models. The discontinuous Galerkin (DG) finite element method provides an innovative framework for modeling brittle crack propagation with zero‐thickness interface elements, which can accommodate extrinsic cohesive laws to avoid the artificial compliance required in intrinsic cohesive models. However, robust formulations and implementations of DG methods are critical in alleviating the well‐known convergence issues for both crack nucleation and propagation with reduced instability. This paper presents a robust interface element formulation by modifying the incomplete interior penalty Galerkin (IIPG) method, which successfully avoids the initial element interface penetration across elements that occurs prior to crack nucleation, and thereby greatly reduces the instability issue as cracks open. We further verified and validated our implementation by using a bar tension test and a beam fracturing benchmark. The robustness of our proposed interface element method was demonstrated by a micromechanics fiber/matrix debonding problem with 64 fibers embedded in a bulk matrix.},
doi = {10.1002/nme.7298},
journal = {International Journal for Numerical Methods in Engineering},
number = 23,
volume = 124,
place = {United Kingdom},
year = {Mon Sep 11 00:00:00 EDT 2023},
month = {Mon Sep 11 00:00:00 EDT 2023}
}
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