Part made of cmc material with pre-cracked environmental barrier for thermomechanical accommodation

A coated part intended to be mounted in a turbomachine, comprising:

• a substrate of composite material with a matrix at least partially of ceramic, and
• an environmental barrier on the substrate and comprising:
• (i) a bond coat layer comprising silicon present on a surface of the substrate, and (ii) an environmental barrier layer covering the bond coat layer, said environmental barrier layer comprising an inner region of barrier to oxidizing and corrosive species which is not cracked and located on the bond coat layer side, and an outer region, opposite the bond coat layer and covering the inner region, having a network of thermomechanical adaptation cracks having a distance between adjacent cracks comprised between 10 μm and 50 μm and having cracks extending over a depth comprised between 50% and 95% of a thickness of said environmental barrier layer, wherein the inner region and the outer region of the environmental barrier layer are made of the same material.