A HTS in the form of a circular cylinder, length 6 cm and diameter 3 cm, is magnetized along its length. The critical current density Jc is flowing throughout the volume and the strength of the trapped magnetic induction measured at the center of the flat end-faces and parallel to the axis (Bo), is 5 T.
(i) On a diagram show the directions of the currents flowing and the principal stresses, and
(ii) Estimate the magnitude of the stress and, given that K1c = 1 MPa m1/2, the size of the strength-limiting defect. Repeat the calculations for a similarly measured trapped induction of 10 T.
(iii) Comment on the risk of failure during the magnetizing process. Consulting [44] and [45] will be necessary.