A method for transferring a useful layer onto a carrier substrate comprises formation of an embrittlement plane by implantation of light species into a first substrate in such a manner as to define the bounds of a useful layer between the plane and a surface of the first substrate, mounting of the carrier substrate onto a surface of the first substrate so as to form an assembly to be fractured, and thermal fracture treatment of the first substrate along the embrittlement plane in such a manner as to transfer the useful layer onto a support. During the thermal fracture treatment, the degree of peripheral adhesion is reduced at an interface between the carrier substrate and the first substrate.