A model for the influence of microstructural defects on magnetic Barkhausen noise in plain steels

Modeling of the Barkhausen jump in low carbon steel

“…Thus, it is also reasonable to consider that the jump area is proportional to the wall mean free path, which is also in perfect agreement with previous results. 2,12 Equation ͑10͒ represents the MBN signal produced by a single domain wall jumping from one pinning site to another. However, the jumps of the total MBN signal are produced by several single jumps ͑domain wall avalanches 16 ͒.…”

“…In the Kameda and Ranjan 2 and Yardley 11 models, the MBN jump amplitude is proportional to the wall mean free path. In the MBN time-dependent models of PerezBenitez et al, 12 the MBN jumps are sharp peaks whose amplitudes depend on the coercive field of the pinning sites.…”

“…2,[6][7][8][9][10][11][12] The most detailed quantitative predictions come from the models proposed by Alessandro et al ͑ABBM͒ 6 and by Zapperi et al ͑CZDE͒. 7 These models are very successful in the prediction of the MBN power spectrum and jump height distribution density, the main disadvantage of these models being that they do not include the effects of material microstructure features such as grain size, carbon content, etc., even if their equations, in particular those of the ABBM model, have been modified to include microstructure parameters.…”

“…11,12,20 These models describe the behavior of mean statistical parameters such as the MBN jump size distribution, 6 critical exponents, 7 rms, 9,10 and the MBN profile. 11,12 In this context, the mean statistical parameters are obtained by a simplified representation of elementary MBN signals, also known as MBN jumps. However, these MBN jump models differ from one study to another.…”

Roadmap for Nondestructive Evaluation of Reactor Pressure Vessel Research and Development by the Light Water Reactor Sustainability Program

“…This is generally due to the effect of multiple factors on the response. A number of factors (in addition to precipitate volume fraction) affect the Barkhausen response, including initial microstructure (prior to embrittlement), grain size, grain-boundary segregation, precipitate size, and stress relaxation, and numerous models have been developed to predict Barkhausen response to these factors [79][80][81]. Additional uncertainty is introduced by the fact that damage accumulation and crack initiation is a stochastic process [82].…”