Numerical simulations were per formed to investigate the strain-dependent behaviour of rheological response
to flow of two-phase rocks. Two types of microstructures were considered: strong phase supported (SPS)
and weak phase supported (WPS) structures. Additionally, the influence of the spatial distribution of the
inclusions and the volume of weak fraction were studied. The results showed a non linear behaviour of the
composite, with strain hardening preceding strain sof tening in both structures. Otherwise, an anisotropic
dependence on viscous and elastic properties was observed in relation to the initial orientation of the
inclusions. This behaviour is related with shape changes of phases, the development of internal instabilities
and the deformation partitioning