Method for manufacturing a gas turbine part (10a,b) which is especially exposed to high temperatures and centrifugal forces within a gas turbine, said gas turbine part (10a,b) having a structure which is composed of a metal and a ternary ceramic called MAX phase, the method comprising the steps of: a) providing a metal suitable for being used in a gas turbine environment; b) providing a ternary ceramic called MAX phase, having the formula M n+1 AX n, where n =1, 2, or 3, M is an early transition metal such as Ti, V, Cr, Zr, Nb, Mo, Hf, Sc, Ta, and A is an A-group element such as Al, Si, P, S, Ga, Ge, As, Cd, In, Sn, TI, Pb, and X is C and/or N, whereby M is in the range of 40-60 at-%, A is in the range of 10-30 at-% and X is in the range of 20-40 at-%, and whereby M+A+X is in the range of 80-100% with 0-20% being other elements which are not listed above and are result of impurities or oxidation; and c) combining said metal and said MAX phase by powder technology processes and/or spray methods to build said gas turbine part (10a,b) up; d) subjecting, after said step c), said gas turbine part (10a,b) to a heat treatment or Hot Isostatic Pressing process at a temperature less than the melting point of said metal and said MAX phase for densification and/or stress relaxation at high temperature, and higher than an operational temperature of said gas turbine part (10a,b) in order to generate compressive stress in the MAX phase, so that the MAX phase will be stress-free at the heat treatment temperature and under compressive stress in the range from room temperature to said operational temperature; characterized in that, in step c): - a bulk MAX phase is coated with said metal using a spraying process, said MAX phase being pre-oxidized to form a thin TGO (Thermally Grown Oxide) to avoid oxidation and inter-diffusion with said metal; or - a metal hollow structure (11, 12) of said metal is filled with said MAX phase, said metal hollow structure (11, 12) being pre-oxidized to form a thin TGO (Thermally Grown Oxide) to avoid oxidation and inter-diffusion with said MAX phase. a) providing a metal suitable for being used in a gas turbine environment; b) providing a ternary ceramic called MAX phase, having the formula M n+1 AX n, where n =1, 2, or 3, M is an early transition metal such as Ti, V, Cr, Zr, Nb, Mo, Hf, Sc, Ta, and A is an A-group element such as Al, Si, P, S, Ga, Ge, As, Cd, In, Sn, TI, Pb, and X is C and/or N, whereby M is in the range of 40-60 at-%, A is in the range of 10-30 at-% and X is in the range of 20-40 at-%, and whereby M+A+X is in the range of 80-100% with 0-20% being other elements which are not listed above and are result of impurities or oxidation; and c) combining said metal and said MAX phase by powder technology processes and/or spray methods to build said gas turbine part (10a,b) up; d) subjecting, after said step c), said gas turbine part (10a,b) to a heat treatment or Hot Isostatic Pressing process at a temperature less than the melting point of said metal and said MAX phase for densification and/or stress relaxation at high temperature, and higher than an operational temperature of said gas turbine part (10a,b) in order to generate compressive stress in the MAX phase, so that the MAX phase will be stress-free at the heat treatment temperature and under compressive stress in the range from room temperature to said operational temperature; - a bulk MAX phase is coated with said metal using a spraying process, said MAX phase being pre-oxidized to form a thin TGO (Thermally Grown Oxide) to avoid oxidation and inter-diffusion with said metal; or - a metal hollow structure (11, 12) of said metal is filled with said MAX phase, said metal hollow structure (11, 12) being pre-oxidized to form a thin TGO (Thermally Grown Oxide) to avoid oxidation and inter-diffusion with said MAX phase.