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...

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 centre 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 ¼ 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. [Answers: (i) 40MPa and
600 mm;

(ii) 160 MPa and
40
m]