Bianisotropic-critical-state model to study flux cutting in type-II superconductors at parallel geometry

A critical-state model is postulated that incorporates, for the first time, the structural anisotropy and flux-line cutting effect in a type-II superconductor. The model is constructed starting from the theoretical scheme of Romero-Salazar and Pérez-Rodríguez to study the anisotropy induced by flux cutting. Here, numerical calculations of the magnetic induction and static magnetization are presented for samples under an alternating magnetic field, orthogonal to a static dc-bias one. The interplay of the two anisotropies is analysed by comparing the numerical results with available experimental data for an yttrium barium copper oxide (YBCO) plate, and a vanadium–titanium (VTi) strip, subjected to a slowly oscillating field $H_y\left(H_z\right)$ in the presence of a static field $H_z\left(H_y\right)$. (paper)