Non-affine Fiber Reorientation in Finite Inelasticity

Abstract This paper introduces a model for the mechanical response of anisotropic soft materials undergoing large inelastic deformations. The material is considered made by isotropic matrix with embedded fibers, each component having its own relaxation dynamics. constitutive equations are provided in terms free energy density and dissipation density, which both required to be thermodynamically consistent structural frame-indifferent, i.e., independent rotation overimposed on intermediate natural state fibers. contrast many currently used models, do not deal lack uniqueness state. issue thoroughly discussed two possible choices satisfying structural-frame indifference leading different flow rules processes. It shown that models from literature can incorporated proposed formulation including viscoelasticity growth.