Abstract
The magnetoelastic stress and magnetostriction induced by flux-pinning in a functionally graded rectangular superconductor slab are investigated analytically. Two material graded indexes α and β are introduced for indicating the critical current state and the elastic property of the inhomogeneous superconductor. Based on an extended exponent model, the magnetic field distributions are analytically obtained under the zero-field cooling process. The magnetoelastic strain/stress state and the magnetostriction behavior induced by flux-pinning forces are then evaluated, and the maximum stress variation inside the superconductor slab is highlighted. Results show that the maximum flux-pinning stress is increased with the superconductor inhomogeneity, and the maximum magnetostriction of the slab is independent on the maximum applied magnetic field after the slab is completely trapped. The inhomogeneity of the material is a considerable factor to affect the electromagnetic properties and its mechanical behavior significantly for the graded superconductor slab.
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