Creep failure of hierarchical materials

Abstract Creep failure of hierarchical materials is investigated by simulation of beam network models. Such models are idealizations of hierarchical fibrous materials where bundles of load-carrying fibers are held together by multi-level (hierarchical) cross-links. Failure of individual beams is ass...

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Main Authors: Mahshid Pournajar, Paolo Moretti, Seyyed Ahmad Hosseini, Michael Zaiser
Format: Article
Language:English
Published: Nature Portfolio 2024-02-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-54908-x
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author Mahshid Pournajar
Paolo Moretti
Seyyed Ahmad Hosseini
Michael Zaiser
author_facet Mahshid Pournajar
Paolo Moretti
Seyyed Ahmad Hosseini
Michael Zaiser
author_sort Mahshid Pournajar
collection DOAJ
description Abstract Creep failure of hierarchical materials is investigated by simulation of beam network models. Such models are idealizations of hierarchical fibrous materials where bundles of load-carrying fibers are held together by multi-level (hierarchical) cross-links. Failure of individual beams is assumed to be governed by stress-assisted thermal activation over local barriers, and beam stresses are computed by solving the global balance equations of linear and angular momentum across the network. Disorder is mimicked by a statistical distribution of barrier heights. Both initially intact samples and samples containing side notches of various length are considered. Samples with hierarchical cross-link patterns are simulated alongside reference samples where cross-links are placed randomly without hierarchical organization. The results demonstrate that hierarchical patterning may strongly increase creep strain and creep lifetime while reducing the lifetime variation. This is due to the fact that hierarchical patterning induces a failure mode that differs significantly from the standard scenario of failure by nucleation and growth of a critical crack. Characterization of this failure mode demonstrates good agreement between the present simulations and experimental findings on hierarchically patterned paper sheets.
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spelling doaj.art-bb16c3102fba4e7d895bff31c3d6a76d2024-03-05T19:11:10ZengNature PortfolioScientific Reports2045-23222024-02-011411910.1038/s41598-024-54908-xCreep failure of hierarchical materialsMahshid Pournajar0Paolo Moretti1Seyyed Ahmad Hosseini2Michael Zaiser3Department of Materials Science, WW8-Materials Simulation, FAU Universität Erlangen-NürnbergDepartment of Materials Science, WW8-Materials Simulation, FAU Universität Erlangen-NürnbergDepartment of Materials Science, WW8-Materials Simulation, FAU Universität Erlangen-NürnbergDepartment of Materials Science, WW8-Materials Simulation, FAU Universität Erlangen-NürnbergAbstract Creep failure of hierarchical materials is investigated by simulation of beam network models. Such models are idealizations of hierarchical fibrous materials where bundles of load-carrying fibers are held together by multi-level (hierarchical) cross-links. Failure of individual beams is assumed to be governed by stress-assisted thermal activation over local barriers, and beam stresses are computed by solving the global balance equations of linear and angular momentum across the network. Disorder is mimicked by a statistical distribution of barrier heights. Both initially intact samples and samples containing side notches of various length are considered. Samples with hierarchical cross-link patterns are simulated alongside reference samples where cross-links are placed randomly without hierarchical organization. The results demonstrate that hierarchical patterning may strongly increase creep strain and creep lifetime while reducing the lifetime variation. This is due to the fact that hierarchical patterning induces a failure mode that differs significantly from the standard scenario of failure by nucleation and growth of a critical crack. Characterization of this failure mode demonstrates good agreement between the present simulations and experimental findings on hierarchically patterned paper sheets.https://doi.org/10.1038/s41598-024-54908-x
spellingShingle Mahshid Pournajar
Paolo Moretti
Seyyed Ahmad Hosseini
Michael Zaiser
Creep failure of hierarchical materials
Scientific Reports
title Creep failure of hierarchical materials
title_full Creep failure of hierarchical materials
title_fullStr Creep failure of hierarchical materials
title_full_unstemmed Creep failure of hierarchical materials
title_short Creep failure of hierarchical materials
title_sort creep failure of hierarchical materials
url https://doi.org/10.1038/s41598-024-54908-x
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