An anisotropic viscoelastic fibre–matrix model at finite strains: Continuum formulation and computational aspects

An anisotropic viscoelastic fibre-matrix model at finite strains: Continuum formulation and computational aspects

This paper presents a fully three-dimensional constitutive model for anisotropic viscoelasticity suitable for the macroscopic description of fibre reinforced composites that experience finite strains. An essential feature of the model is that the matrix and the fibres are treated separately allowing then as many bundles of fibres as desired. Moreover, the relaxation and/or creep response is bas...

On a continuum thermodynamics formulation and computational aspects of finite growth in soft tissues

In this paper, we try to settle the bases of a concise modelling of growth within the unified framework of continuum thermodynamics. Special emphasis is placed on the modelling of soft biological tissues at finite strains. For this, we adopt the nowadays well known kinematic assumption of a multiplicative decomposition of the deformation gradient into an elastic part and a growth part. It is sh...

Some Aspects of a Discontinuous Galerkin Formulation for Gradient Plasticity at Finite Strains

A rheological network model for the continuum anisotropic and viscoelastic behavior of soft tissue.

The mechanical behavior of soft tissue demonstrates a number of complex features including nonlinearity, anisotropy, viscoelasticity, and growth. Characteristic features of the time-dependent and anisotropic behavior are related to the properties of various components of the tissue such as fibrous collagen and elastin networks, large proteins and sugars attached to these networks, and interstit...

Computational and Theoretical Aspects of a Grain-Boundary Model at Finite Deformations

A model to describe the role of grain boundaries in the overall response of a polycrystalline material at small length scales subject to finite deformations is presented. Three alternative thermodynamically consistent plastic flow relations on the grain boundary are derived and compared using a series of numerical experiments. The numerical model is obtained by approximating the governing relat...