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Main Title: Inverse analysis of cellulose by using the energy-based method and a rotational rheometer
Author(s): Abali, Bilen Emek
Type: Article
Language Code: en
Abstract: Biological and polymer-type materials usually show a complicated deformation behavior. This behavior can be modeled by using a nonlinear material equation; however, the determination of coefficients in such a material equation is challenging. We exploit representation theorems in continuum mechanics and construct nonlinear material equations for cellulose in an oscillatory rheometer experiment. The material parameters are obtained by using the energy-based method that generates a linear regression fit even in the case of a highly nonlinear material equation. This method allows us to test different nonlinear material equations and choose the simplest material model capable of representing the nonlinear response over a broad range of frequencies and amplitudes. We present the strategy, determine the parameters for cellulose, discuss the complicated stress-strain response and make the algorithm publicly available to encourage its further use.
Issue Date: 12-Aug-2018
Date Available: 4-Sep-2018
DDC Class: 600 Technik, Technologie
Subject(s): rheometer
inverse analysis
soft matter
material modeling
parameter fit
Sponsor/Funder: DFG, TH 662/19-1, Open Access Publizieren 2017 - 2018 / Technische Universität Berlin
Journal Title: Applied Sciences
Publisher: MDPI
Publisher Place: Basel
Volume: 8
Issue: 8
Article Number: 1354
Publisher DOI: 10.3390/app8081354
EISSN: 2076-3417
Appears in Collections:FG Kontinuumsmechanik und Materialtheorie » Publications

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