Stephen L. Flores, Gen Fukuda, Xi Yang, Rommel G. Bacabac, Shingo Matsukawa
The ideal model to describe the nonlinear behavior of viscoelastic materials needs to be low-dimensional, provide ease of use and a straightforward physical interpretation. This is important to create a full picture of the material response in both the linear and nonlinear regime. In this work, we present a simple analysis of the nonlinear regime of oscillatory shear by using a modified Maxwell model. The model can describe a range of nonlinear behaviors by representing the general response of the spring and dashpot as an odd-power series expansion. Elastic and viscous Lissajous curves were calculated using four parameters to represent linear and nonlinear elasticity and viscosity. The model dependence on the strain amplitude, frequency and the nonlinear parameters was studied. Varying the thickening and thinning nature of the dashpot allowed the model to reproduce the Bird-Carreau equation when a sufficient number of terms was employed in the power series expansion. The model is also shown to describe the nonlinear data for a system of mixed carrageenan hydrogels well. © Japanese Society of Biorheology 2024.
Department of Food Science and Technology, Tokyo University of Marine Science and Technology, 4-5-7 Konan, Minato-ku, Tokyo, 108-8477, Japan; Medical Biophysics Group, Department of Physics, University of San Carlos, Cebu City, Philippines
