An energy-based method to determine material constants in nonlinear rheology with applications
- Many polymer-type materials show a rate-dependent and nonlinear rheological behavior. Such a response may be modeled by using a series of spring-dashpot systems. However, in order to cover different time scales the number of systems may become unreasonably large. A more appropriate treatment based on continuum mechanics will be presented herein. This approach uses representation theorems for deriving material equations and allows for a systematic increase in modeling complexity. Moreover, we propose an approach based on energy to determine thematerial parameters.This method results in a simple linear regression problemeven for highly nonlinearmaterial equations. Therefore, the inverse problem leads to a unique solution. The significance of the proposed method is that the stored and dissipated energies necessary for the procedure are measurable quantities. We apply the proposed method to a 'semi-solid' material and measure its material parameters by using a simple-shear rheometer.
Autor*innen: | B. E. Abali, Cheng-Chieh Wu, W.H. Müller |
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Dokumenttyp: | Zeitschriftenartikel |
Veröffentlichungsform: | Verlagsliteratur |
Sprache: | Englisch |
Titel des übergeordneten Werkes (Englisch): | Continuum mechanics and thermodynamics |
Jahr der Erstveröffentlichung: | 2016 |
Verlag: | Springer |
Verlagsort: | Berlin |
Jahrgang/Band: | 28 |
Ausgabe/Heft: | 5 |
Erste Seite: | 1221 |
Letzte Seite: | 1246 |
DDC-Klassifikation: | Naturwissenschaften und Mathematik / Chemie / Analytische Chemie |
Freie Schlagwörter: | Constitutive relations; Inverse analysis; Material equations; Nonlinear rheology; Simple-shear rheometer |
DOI: | 10.1007/s00161-015-0472-z |
ISSN: | 0935-1175 |
ISSN: | 1432-0959 |
Verfügbarkeit des Dokuments: | Datei im Netzwerk der BAM verfügbar ("Closed Access") |
Datum der Freischaltung: | 20.02.2016 |
Referierte Publikation: | Ja |
Datum der Eintragung als referierte Publikation: | 05.10.2015 |