Materials used in gas turbines are subjected to the harshest operating conditions – such as cyclic mechanical loads, high temperatures and combustion gases. Decades long research for advanced materials suitable for such applications has presented titanium aluminide (TiAl) alloys and ceramic matrix composites (CMCs) as next generation light-weight materials. Accurate design and analysis of TiAl or CMC aero engine components requires a precise calculation of lifetime under coupled multiphysical loads. Under this research area, new theoretical and computational methods are developed which couple deformation mechanisms from grain level to component level under simultaneous action of high temperature and corrosion. The method development takes place in a highly parallelized finite element solver developed and maintained by the institute.