'-ENCORE- aims at developing non-destructive, quantitative, fast and economical methods to address the unmet need for multiaxial residual stress (?R) measurements. The project focuses on measurements in flat plates and tubes produced by the steel industry and used in many industries. These multi-physics methods exploit two effects generated by ?R: i) the acousto-elastic effect on the long distance propagation of guided elastic waves (GW), ii) the magneto-elastic effect in the vicinity of an eddy current sensor (EC). The global image of ?R will be obtained by tomographic inversion of the propagation velocity variations of guided modes affected by the ?R, selected for their best sensitivity. In a 1st method, the GWs are selectively emitted and detected by non-contact electro-magneto-acoustic transducers (EMAT), whose source and detector behaviors are affected by local magneto-elastic effect, itself to be inverted, an EMAT being usable as an EC sensor. In a 2nd, magnetostrictive patches are used for the transmission and reception of GWs, insensitive to local magneto-elastic effects in the part.