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A study on the boundary of linear viscoelasticity in simple shear flows: model calculations

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Abstract

Linear viscoelastic region is important to investigate material properties. We investigated boundary of linear viscoelasticity for simple shear flows with various time functions of shear strain. We used Phan-Thien and Tanner (PTT) model and Giesekus model in order to extract the linearity criterion. We determined critical strain (γc) as a function of dimensionless number such as De or Wi and the nonlinear parameter of the models. We found a superposition of the critical strain at start-up shear flow and oscillatory shear flow. Replacing relaxation time by mean relaxation time (\(\left({\overline {\rm{\lambda }} = {J_{\rm{e}}}{{\rm{\eta }}_{\rm{o}}}} \right)\)), we checked the validity of the equation with experimental data.

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Acknowledgement

This research was supported by Kyungpook National University Research Fund, 2017.

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Correspondence to Kwang Soo Cho.

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Kim, T., Lee, J., Cho, K.S. et al. A study on the boundary of linear viscoelasticity in simple shear flows: model calculations. Korea-Aust. Rheol. J. 32, 205–212 (2020). https://doi.org/10.1007/s13367-020-0020-7

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  • DOI: https://doi.org/10.1007/s13367-020-0020-7

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