Experiment-driven Simplification of Johnson-Champoux-Allard-Lafarge Model for Fibrous Materials

Experiment-driven Simplification of Johnson-Champoux-Allard-Lafarge Model for Fibrous 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 Experiment-driven Simplification of Johnson-Champoux-Allard-Lafarge Model for Fibrous Materials Tao Yang, Martin Eser, Xiaoman Xiong, Jean-Philippe Groby, Marcus Maeder, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5386334/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Widely used empirical and semi-phenomenological models lack practicality due to unstable predictions or reliance on numerous parameters that are not directly measurable. This paper presents an experiment-driven method to simplify the Johnson–Champoux–Allard–Lafarge (JCAL) model by utilizing and relying on a two-microphone impedance tube only. Inverse characterization is applied to determine the non-acoustical parameters (i.e., tortuosity, airflow resistivity, viscous and thermal characteristic lengths, and static thermal permeability), and the regression method is then used to correlate porosity with these non-acoustical parameters. The simplified JCAL model is validated against the original model and experimental results for acrylic, silk, and wool fibers. The models perform well for porosities between 92% - 98% but underestimated sound absorption at 99% due to frame vibration effects. This experiment-driven simplification method reduces the JCAL model to a single parameter, porosity, enhancing efficiency, enabling faster predictions, and making the model more applicable to optimization strategies and broader applications. Semi-phenomenological model Acoustic material characterization Model simplification Fibrous material Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-5386334","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":373723456,"identity":"44968461-b489-4253-af3f-249a8a2c8826","order_by":0,"name":"Tao 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This paper presents an experiment-driven method to simplify the Johnson–Champoux–Allard–Lafarge (JCAL) model by utilizing and relying on a two-microphone impedance tube only. Inverse characterization is applied to determine the non-acoustical parameters (i.e., tortuosity, airflow resistivity, viscous and thermal characteristic lengths, and static thermal permeability), and the regression method is then used to correlate porosity with these non-acoustical parameters. The simplified JCAL model is validated against the original model and experimental results for acrylic, silk, and wool fibers. The models perform well for porosities between 92% - 98% but underestimated sound absorption at 99% due to frame vibration effects. 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