Process for analysing a fracture or crack surface of a TiAl turbomachine part, comprising at least one of the steps consisting in: a) marking on the surface the position and the orientation of cleavage facets, so as to identify a region of fracture or crack initiation and to determine the direction of propagation of this fracture or crack, b) examining the surface and detecting the regions with the presence of equiaxed grains and/or lamellar grains, so as to evaluate the temperature at which the fracture or crack has taken place, and c) comparing the heat tintings of the surface with those of samples from a heat tinting colour chart so as to evaluate the speed of propagation of the fracture or crack.
