A review on magnetic field assisted electrical discharge machining

•A comprehensive review is proposed from the perspective of magnetic field assisted electrical discharge machining.•The principle and modeling of magnetic field assisted different kinds of MF-EDM are presented.•Effects of magnetic field on machining performance including discharge status, MRR, EWR, and surface integrity are analyzed.•Parametric optimization and machining characteristics of typical difficult-to-cut materials in the MF-EDM process are investigated.