Study of the law of stress magnetisation based on the magnetic memory effect under weak magnetic excitation

Based on the metal magnetic memory effect, this paper improves the Jiles-Atheron (J-A) force-magnetic coupling model under the condition of applying a weak magnetic excitation, introduces the relative magnetic induction parameter into the theoretical derivation process and explores the stress magnetisation law for the damaged part of a broken wire rope. The Ansys simulation platform is used to construct a force-magnetic coupling simulation model of the steel wire rope and finite element analysis is carried out. Combined with a static tensile test, the validity of the resulting theoretical model is verified. The results show that there is a certain relationship between the relative magnetic induction of the steel wire rope sample and the tensile stress. Its distribution can be used to evaluate the stress development trend and provide early warning of the final failure of the specimen, which provides a basis for future quantitative evaluation of damage status.