Local micromorphic non-affine anisotropy for materials incorporating elastically bonded fibres

There has been increasing experimental evidence of non-affine elastic deformation mechanisms in biological soft tissues. These observations call for novel constitutive models which are able to describe the dominant underlying micro-structural kinematic aspects, particular relative motion characteristics different phases. This paper proposes a flexible and modular framework based on micromorphic continuum encompassing matrix fibre In addition displacement field, it features so-called director fields can independently deform intrinsically carry orientational information. Accordingly, fibrous constituents be naturally associated with directors their within bulk material efficiently captured. Furthermore, relations formulated quantities specifically linked response matrix, fibres mutual interactions. Associated stress derived from variational principle featuring dedicated governing equations fields. aspect is crucial truly description. contrast conventional approaches, any non-local higher-order behaviour excluded, thus significantly reducing number parameters range typically found related classical approaches. context tissue modelling, potential applicability formulation studied academic examples anisotropic fibre-reinforced composite composition elucidate as compared one obtained using mechanics approach.