This course advances the topics of the core course "Computational Mechanics of Materials". It is structured into the parts computational mechanics of three-dimensional material models at small strains, micro-mechanically-based material models, homogenization methods and computational mechanics of solid materials at large strains. Basic contents are thermodynamics of a general internal variable formulation of inelasticity at small strains, linear and nonlinear elasticity, finite element implementation of nonlinear elasticity, viscoelasticity, rate-independent and rate-dependent plasticity, micro-mechanically-based models of plasticity for crystalline solids, introduction to homogenization methods and micro-to-macro transitions, general internal variable formulation of inelasticity at large strains, approaches to the modelling and numerics finite elasticity and finite viscoelasticity.