Abstract: A stressing element of fiber composites is disclosed as well as a process and device for the stressing and anchorage of such a stressing element, in which the stressing element ends are embedded in synthetic resin mortar in a transversely-corrugated anchoring or stressing sleeve, which deforms during stressing and allows cracks caused by stretching of the stressing bars inside the sleeve, which cracks divide up the anchorage body over a part of its length into slices and thereby allow a movement of the stressing bars under a vibrational loading effect. After stressing, the stressing bars of the stressing elements can be anchored by anchorage mortar introduced directly into encasing tube widenings.