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The development of high-field accelerator magnets capable of providing 16 Tdipolar fields is an indispensable technological breakthrough needed for the100 TeV energy-frontier targeted by the Future Circular Collider (FCC). Asthese magnets will be based on Nb$_3$Sn Rutherford cables, the degradation ofthe conductor performance due to the large electro-magnetic stresses becomes aparameter with a profound impact on the magnet design. In this work, weinvestigated the stress dependence and the irreversible reduction of thecritical current under compressive transverse load in high performancePowder-In-Tube (PIT) Nb$_3$Sn wires. Tests were performed in magnetic fieldsranging between 16 T and 19 T on wires that were resin-impregnated similarly tothe wires in the Rutherford cables of accelerator magnets. The scope was topredict the degradation of the cable under stress from a single-wireexperiment. Interestingly, the irreversible stress limit, $\sigma_{irr}$,defined as the stress level corresponding to a permanent reduction of thecritical current by 5$\%$ with respect to its initial value, was found todepend on the applied magnetic field. This observation allowed us to shed lighton the mechanism dominating the irreversible reduction of the wire performanceand to compare and reconcile our results with the irreversible limits measuredon Rutherford cables, typically tested at fields below 12 T.

Determination of the electromechanical limits of high-performance Nb$_3$Sn Rutherford cables under transverse stress from a single-wire experiment