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Appl. Sci. 2018, 8(8), 1354; https://doi.org/10.3390/app8081354

Inverse Analysis of Cellulose by Using the Energy-Based Method and a Rotational Rheometer

Chair of Continuum Mechanics and Constitutive Theory, Institute of Mechanics, Technische Universität Berlin, Einsteinufer 5, 10587 Berlin, Germany
Received: 25 July 2018 / Revised: 7 August 2018 / Accepted: 10 August 2018 / Published: 12 August 2018
(This article belongs to the Section Materials)
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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. View Full-Text
Keywords: rheometer; inverse analysis; cellulose; soft matter; material modeling; parameter fit rheometer; inverse analysis; cellulose; soft matter; material modeling; parameter fit
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Abali, B.E. Inverse Analysis of Cellulose by Using the Energy-Based Method and a Rotational Rheometer. Appl. Sci. 2018, 8, 1354.

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