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When the magnetic field has a parallel component to the current density ${\bfJ}$ there appear force-free effects due to flux cutting and crossing. Thisresults in an anisotropic ${\bf E}({\bf J})$ relation, being ${\bf E}$ theelectric field. Understanding force-free effects is interesting not only forthe design of superconducting power and magnet applications but also formaterial characterization. This work develops and applies a fast and accuratecomputer modeling method based on a variational approach that can handleforce-free anisotropic ${\bf E}({\bf J})$ relations and perform fully threedimensional (3D) calculations. We present a systematic study of force-freeeffects in rectangular thin films and prisms with several finite thicknessesunder applied magnetic fields with arbitrary angle $\theta$ with the surface.The results are compared with the same situation with isotropic ${\bf E}({\bfJ})$ relation. The thin film situation shows gradual critical current densitypenetration and a general increase of the magnitude of the magnetization withthe angle $\theta$ but a minimum at the remnant state of the magnetizationloop. The prism model presents current paths with 3D bending for all angles$\theta$. The average current density over the thickness agrees very well withthe thin film model except for the highest angles. The prism hysteresis loopsreveal a peak after the remnant state, which is due to the parallel componentof the self-magnetic-field and is implicitly neglected for thin films. Thepresented numerical method shows the capability to take force-free situationsinto account for general 3D situations with a high number of degrees offreedom. The results reveal new features of force-free effects in thin filmsand prisms.

3D modelling of macroscopic force-free effects in superconducting thin films and rectangular prisms