Continuum-mechanical, Anisotropic Flow model for polar ice masses, based on an anisotropic Flow Enhancement factor

Abstract

A complete theoretical presentation of the Continuum-mechanical, Anisotropic Flow model, based on an anisotropic Flow Enhancement factor (CAFFE model) is given. The CAFFE model is an application of the theory of mixtures with continuous diversity for the case of large polar ice masses in which induced anisotropy occurs. The anisotropic response of the polycrystalline ice is described by a generalization of Glen's flow law, based on a scalar anisotropic enhancement factor. The enhancement factor depends on the orientation mass density, which is closely related to the orientation distribution function and describes the distribution of grain orientations (fabric). Fabric evolution is governed by the orientation mass balance, which depends on four distinct effects, interpreted as local rigid body rotation, grain rotation, rotation recrystallization (polygonization) and grain boundary migration (migration recrystallization), respectively. It is proven that the flow law of the CAFFE model is truly anisotropic despite the collinearity between the stress deviator and stretching tensors.

22 pages, 5 figures

References in corpus (2)

• Thermodynamic consistency of third grade finite strain elasticity
• Scalar, vectorial and tensorial damage parameters from the mesoscopic background

Cited by in corpus (4)

• Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena
• On a modified Becker-Doering model for two-phase materials
• A continuum-mechanical model for the flow of anisotropic polar ice
• Position based dynamic of a particle system: a configurable algorithm to describe complex behaviour of continuum material starting from swarm robotics