Model-based material functions for SAOS and LAOS analyses》.pdfVIP

Journal of Non-Newtonian Fluid Mechanics 215 (2015) 19–30 Contents lists available at ScienceDirect Journal of Non-Newtonian Fluid Mechanics journal homepage: http://www.el /locate/jnnfm Model-based material functions for SAOS and LAOS analyses Roney L. Thompson a,⇑, Alexandra A. Alicke b, Paulo R. de Souza Mendes b a LMTA-PGMEC, Department of Mechanical Engineering, Universidade Federal Fluminense, Rua Passo da Pátria 156, Niterói, RJ 24210-240, Brazil b Department of Mechanical Engineering, Pontifícia Universidade Católica-RJ, Rua Marquês de São Vicente 225, Rio de Janeiro, RJ 22453-900, Brazil a r t i c l e i n f o a b s t r a c t Article history: In this paper we argue that material functions usually originate from some constitutive model, and dem- Received 18 May 2014 onstrate the importance of determining the model involved in the material function of interest and of Received in revised form 29 October 2014 evaluating its appropriateness vis-à-vis the material under rheological characterization. In particular, Accepted 31 October 2014 we demonstrate that the usual material functions that arise in the analyses of SAOStrain and LAOStrain Available online 10 November 2014 experiments are directly related to the Kelvin–Voigt model, while the ones that appear in the analyses of SAOStress and LAOStress experiments are directly related to the Maxwell model. Then we argue that it Keywords: would be mor