In this work, we present results on mathematical modelling of polymeric yield stress fluids which have the properties of both elastic solids and fluids. Our research is based on the approach of multiphase continuum mechanics. A two-phase solid-fluid model is developed. This model is thermodynamically compatible and its governing differential equations can be written in a conservative form. Such a model is convenient for application of advanced high-accuracy numerical methods and modelling of discontinuous solutions such as shock waves and contacts.
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Two-Phase Solid-Fluid Mathematical Model of Yield Stress Fluids
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Peshkov, I, Grmela, M, & Romenski, E. "Two-Phase Solid-Fluid Mathematical Model of Yield Stress Fluids." Proceedings of the ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 2: Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Bio-Inspired Materials and Systems; Energy Harvesting. Stone Mountain, Georgia, USA. September 19–21, 2012. pp. 9-18. ASME. https://doi.org/10.1115/SMASIS2012-7913
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