If a fastener is over torqued, the material will go into yield and the extension vs torque relationship will no longer be linear. You feel the spanner go "soft" just before failure.
Tightening to yield is the most efficient use of the fastener, but tightening HAS to stop, as soon as yield is detected.
Having gone beyond the elastic limit, the fastener will have taken a permanent extension.
I spent six months testing and commisioning a 32 spindle yield tightening machine. We used LOTS of bolts which had been faced at both ends, identified and measured, before and after tightening.
A 1/2 UNF bolt in W range steel would take a permanent extension of a thou or so, indicating that it had JUST gone into yield.
In some instances, this means that a fastener can only be used once.
In industrial yield tightening systems the electronics monitor torque against angular rotation, As soon as the relationship becomes even the slightest non linear, tightening stops.
It also means that the clamp load applied by each fastener is consistent.
For this system to work, the parts being clamped together must not crush noticeably. If it does the control system will detectb the material going binto yield rather than the fastener.
In joint system involving a gasket, this alo has to mbe taken into account, although often the system is intended to mproduce a consistent clamp load on the gasket to improve sealing.
Howard