Boundary condition for high frequency eddy current problems

A novel method to solve high frequency eddy current problems, which arise from modelling inductive surface hardening processes, is proposed, The method is based on the known functional behaviour of current density in a conductive double-layered half-space. The exponential behaviour of current density can also be assumed for shapes with slight curvature, The assumption results in a new boundary condition which can be applied by numerical as well analytical procedures. Furthermore, it is no longer necessary to divide the conductor with its thin layer of penetration in elements to use numerical methods. Because the penetration depth is very small compared with other dimensions of the inductor and the conductive workpiece a great reduction in the number of elements will result.