In this work, we couple a texture model with the commercial finite element (FE) program ABAQUS/Explicit by implementing it as user supplied material subroutine (VUMAT) in the FE-code. The texture model is based on the self-consistent approach by Lebensohn and Tome. In this model every grain is considered as an inhomogeneous inclusion in a matrix, which represents the averaged mechanical properties of the polycrystal Since twinning is an important deformation mechanism in metals with hcp-crystal structure, it should be considered in the simulation. This is achieved by using the predominant twin reorientation scheme developed by Tome et al.. The feasibility of the approach is demonstrated by simulating the rolling of the magnesium alloy AZ31B.