Speaker
Description
This study presents a thermodynamically consistent framework for modeling the viscoelastic behavior of ice under finite deformations, capturing its complex time-dependent mechanical response. A multiplicative decomposition of the deformation gradient into an elastic and viscous component is employed, reflecting the material's ability to accommodate both reversible and irreversible deformations, see [1]. The formulation is grounded in thermodynamically consistent principles which ensures compliance with the second law of thermodynamics using an appropriate ansatz for the evolution equation. A critical feature of the model is the integration of an exponential update algorithm for the evolution of the internal variables as in [2] for the sake of numerical stability and accuracy in the large deformation regime. The performance of the model is demonstrated using benchmark problems that reflect experimental observations of the deformation behavior of ice.
References:
[1] J. Christmann, R. Müller, and A. Humbert. On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves. Journal of Glaciology, 65(250):212–224, 2019.
[2] S. Govindjee and S. Reese. A presentation and comparison of two large deformationviscoelasticity models. Journal of Engineering Materials and Technology, 119(3):251– 255, 1997.
