Abstract
In this paper a constitutive model for anisotropic finite strain plasticity, which considers the major effects of the macroscopic behaviour of matrix-fibre materials, is presented. As essential feature matrix and fibres are treated separately, which allows as many bundles of fibres as desired. The free energy function is additively split into a part related to the matrix and in parts corresponding to the fibres. Usually the free energy function is defined by the integrity basis of the main variable and structural tensors, which leads to complicated numerical schemes. Here, the continuum is considered as superimposed of the isotropic matrix and further one-dimensional continua each of them represents one bundle of fibres. The deformation gradient applies to all continua introducing a constraint, which links the different continua. One of the most striking features of the model is its suitability for a numerical treatment.
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