During the design process materials selection is usually carried out unsystematically, selection is mostly based on previous experience. Professor M. Ashby developed a methodology of materials selection optimization based on material indexes. Our aim is to link this methodology with optimization interface of software ANSYS. This link allows solving complicated multi-criteria problems that cannot be solved analytically. In this paper it was shown that it is possible to create connection between material selection methodology based on material indices and numerical finite element method analyses conducted in ANSYS. New material indices were determined for buckling of a cylinder. The developed methodology is also applicable for more complicated problems which is the next step in this research.