A phenomenological theory-based viscosity model for shear thickening fluids

• Published in: Materials research express Vol. 9; no. 1; pp. 015701 - 15714
• Main Authors: Lin, Kun, Qi, Jiapeng, Liu, Hongjun, Wei, Minghai, Peng, Huayi
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.01.2022
• Subjects: Algorithms; Constitutive models; Continuity (mathematics); Impact resistance; levenberg–marquardt algorithm; logistic function; Material properties; Mathematical models; phenomenological theory; Shear rate; Shear thickening (liquids); shear thickening fluids; Shear thinning (liquids); Thickening; Vibration control; Viscosity; viscosity model
• ISSN: 2053-1591; 2053-1591
• DOI: 10.1088/2053-1591/ac46e4

Abstract A viscosity model for shear thickening fluids (STFs) based on phenomenological theory is proposed. The model considers three characteristic regions of the typical material properties of STFs: a shear thinning region at low shear rates, followed by a sharp increase in viscosity above the critical shear rate, and subsequently a significant failure region at high shear rates. The typical S-shaped characteristic of the STF viscosity curve is represented using the logistic function, and suitable constraints are applied to satisfy the continuity of the viscosity model. Then, the Levenberg–Marquardt algorithm is introduced to fit the constitutive model parameters based on experimental data. Verification against experimental data shows that the model can predict the viscosity behavior of STF systems composed of different materials with different mass concentrations and temperatures. The proposed viscosity model provides a calculation basis for the engineering applications of STFs (e.g., in increasing impact resistance and reducing vibration).