Plastic deformation caused by magnetic fields and the Joule heating effect in current-carrying coils
This influence of Lorentz forces and thermal stresses on the mechanical behavior of superconducting coils were in-vestigated when current flowed through them.Using finite element analysis in conjunction with elasticity equations,the stress dis-tribution induced by current-induced temperature gradients and magnetic fields was examined.When the coil is energized,the current tends to concentrate towards the inner side of the coil,leading to the formation of temperature gradients and subsequent thermal stresses.The combined effect of thermal stresses and Lorentz forces reveals that the thermal stress enhances the resistance of the coil's inner region to plastic deformation,whereas the outer regions are more susceptible to entering a plastic state.The re-sults show that the presence of thermal stresses reduces the overall resistance of the superconducting coil to plastic deformation.Therefore,when designing superconducting coils,it is essential to take these mechanical effects into account.This study can pro-vide valuable insights for the design of superconducting coils.
Magnetic fieldLorentz forceElectromagnetic heatingThermal stressFinite element simulation