Influence of Material Constitutive Laws onEffective Crack Resistance in Heterogeneous Materials

Influence of Material Constitutive Laws onEffective Crack Resistance in Heterogeneous Materials | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Influence of Material Constitutive Laws onEffective Crack Resistance in Heterogeneous Materials Alexander Schlüter, Ronjit Medda, Ralf Müller This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8739459/v1 This work is licensed under a CC BY 4.0 License Status: Under Revision Version 1 posted 11 You are reading this latest preprint version Abstract In this work, we investigate the simulation-based determination of the effective fracture resistance of porous materials while accounting for nonlinear, ductile material behavior. Following the approach of Hossain et al. [1], numerical experiments with surfing boundary conditions are conducted to identify the effective crack resistance as a macroscopic material parameter. Crack evolution in the microstructure is modeled using a phase-field formulation without prescribing crack paths or growth continuity. The maximum value of the macroscopically acting J-integral defines the driving force required for sustained macroscopic crack advance and is taken as the effective fracture resistance. In contrast to previous studies, a von Mises plasticity model is employed to investigate ductile fracture in porous metals. The results show that the effective fracture resistance is governed primarily by the energy dissipation capacity of the material during crack renucleation at pores rather than by tensile strength or microscopic fracture energy. A complementary three-dimensional model confirms these findings, showing similar saturation behavior of the effective fracture resistance with respect to microstructural wall width and good quantitative agreement with the two-dimensional predictions. Ductile Fracture Porous Metals Effective Fracture Toughness Phase Field Model of Ductile Fracture Numerical Experiment Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Revision requested 09 Apr, 2026 Reviews received at journal 08 Apr, 2026 Reviews received at journal 08 Apr, 2026 Reviews received at journal 26 Mar, 2026 Reviewers agreed at journal 20 Feb, 2026 Reviewers agreed at journal 18 Feb, 2026 Reviewers agreed at journal 18 Feb, 2026 Reviewers invited by journal 18 Feb, 2026 Editor assigned by journal 08 Feb, 2026 Submission checks completed at journal 03 Feb, 2026 First submitted to journal 30 Jan, 2026 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-8739459","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":593258557,"identity":"a0706fc9-bc78-4655-8b7f-de02babc9b37","order_by":0,"name":"Alexander Schlüter","email":"data:image/png;base64,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","orcid":"","institution":"TU Darmstadt","correspondingAuthor":true,"prefix":"","firstName":"Alexander","middleName":"","lastName":"Schlüter","suffix":""},{"id":593258571,"identity":"0d20df7e-fe81-4ee8-9b28-91eaf3aaf2c1","order_by":1,"name":"Ronjit Medda","email":"","orcid":"","institution":"TU Darmstadt","correspondingAuthor":false,"prefix":"","firstName":"Ronjit","middleName":"","lastName":"Medda","suffix":""},{"id":593258574,"identity":"5463bf18-32c9-4bd1-be22-d6a913f35122","order_by":2,"name":"Ralf Müller","email":"","orcid":"","institution":"TU Darmstadt","correspondingAuthor":false,"prefix":"","firstName":"Ralf","middleName":"","lastName":"Müller","suffix":""}],"badges":[],"createdAt":"2026-01-30 09:11:17","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8739459/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8739459/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":103504478,"identity":"f06dcf8e-c2a4-467a-9ad1-997f05ecd537","added_by":"auto","created_at":"2026-02-26 13:20:12","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1647236,"visible":true,"origin":"","legend":"","description":"","filename":"KLAIM2025revisedv1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8739459/v1_covered_f9c0b02a-526a-4bdb-a87b-90acd013f49f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Influence of Material Constitutive Laws onEffective Crack Resistance in Heterogeneous Materials","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"computational-science-and-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [Computational Science and Engineering](https://link.springer.com/journal/44207)","snPcode":"44207","submissionUrl":"https://submission.springernature.com/new-submission/44207/3","title":"Computational Science and Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Open","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Ductile Fracture, Porous Metals, Effective Fracture Toughness, Phase Field Model of Ductile Fracture, Numerical Experiment","lastPublishedDoi":"10.21203/rs.3.rs-8739459/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8739459/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this work, we investigate the simulation-based determination of the effective fracture resistance of porous materials while accounting for nonlinear, ductile material behavior. 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