Abstract: In this paper, the distributions of the stresses induced by flux
pinning in a superconducting cylinder with a concentric elliptic hole are
investigated. First, the distribution function of the flux density during field
descent after field cooling process is given by adopting the exponent model for
the critical current state. Then, the flux pinning forces are further derived.
Finally, numerous numerical results are plotted by using finite element method
and are analyzed in detail. Numerical results show that for the superconducting
cylinder with an elliptic hole, along the direction of the long axis, the
phenomenon of stress concentration for hoop stress occurs at the hole edge, and
that in general, the radial stress changes rapidly near the hole edge. In
addition, both the shape of the hole and the model parameter of the present
critical state model have important and different effects on the stress
distributions. Results presented in this paper should have potential
applications to the design of superconducting materials.
