Multiscale Seminar by Jay Schieber: Multiscale Modeling Beyond Equilibrium: Viscoelasticity
Speaker: Jay Schieber, Illinois Institute of Technology
Title: Multiscale Modeling Beyond Equilibrium: Viscoelasticity
Abstract:
Multiscale modeling is used to predict properties of systems that have microstructure (Physics Today, March 2020, 10.1063/PT.3.4430). Such predictions require a conversation between two different length scales. In our focus, we have a macroscopic flow or deformation that influences the evolution of the microstructure, and the microstructure provides the stresses that determine the flow. Hence, we simultaneously solve two coupled dynamical equations. I will discuss the restrictions provided by the first and second laws of thermodynamics on such models. We show a general approach, but apply them specifically to polymer rheology. We need little mathematics beyond the sort of partial differential equations and tensorial mathematics necessary in transport phenomena. Nonetheless, we discover that several recent and popular models violate these fundamental laws of physics. All results are published in detail (Physics of Fluids, 2021, 33, 083103).
Title: Multiscale Modeling Beyond Equilibrium: Viscoelasticity
Abstract:
Multiscale modeling is used to predict properties of systems that have microstructure (Physics Today, March 2020, 10.1063/PT.3.4430). Such predictions require a conversation between two different length scales. In our focus, we have a macroscopic flow or deformation that influences the evolution of the microstructure, and the microstructure provides the stresses that determine the flow. Hence, we simultaneously solve two coupled dynamical equations. I will discuss the restrictions provided by the first and second laws of thermodynamics on such models. We show a general approach, but apply them specifically to polymer rheology. We need little mathematics beyond the sort of partial differential equations and tensorial mathematics necessary in transport phenomena. Nonetheless, we discover that several recent and popular models violate these fundamental laws of physics. All results are published in detail (Physics of Fluids, 2021, 33, 083103).
Stochastic and Multiscale Modeling and Computation Seminar