Application of Magnetic Information Parameters for Nondestructive Testing of the Hardness of Medium-Carbon Alloy Steels

Sandomirski, S. G.

doi:10.1007/s11018-019-01685-z

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“…The analysis results can be extended to other functional processing of the indirect measurements F(x 1 ) and F(x 2 ), that provide the same additional relative error of calculation as the algorithm (3) [18]. For example, the analysis can be applied to the geometric mean of the results of determining the physical quantity F according to formulas (1) and 2 Table 1, and the trend lines of these dependences Figure 5 -Correlation field of the relationship between the results of calculating the HRC hardness of the studied steels according to formula (3) and the results (Table 1) of its measurement in [4] and the trend line of this dependence Indeed, let the value of F be determined using the results of measuring the parameter x 1 by formula (1) with a relative error δ 1 , and using the results of measuring the parameter x 2 using formula (2)with a relative error δ 2 .…”

Section: Analysis and Its Resultsmentioning

confidence: 99%

“…However, it was shown in [17] that the measurement error for each of the relaxation magnetic parameters used in [11,12] is not 1 %, but itself can be tens of percent. And algebraic operations inevitably increase the resulting calculation error [18]. Therefore, the practical application of multiparameter control of the structure of steels according to the method [11,12] and similar ones has not been reported so far.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Requirements and the Feasible Limit for Error Reduction in Two-Parameter Magnetic Determination of Steels’ Hardness

Sandomirskii

2020

Prib. metody izmer.

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All measurements of mechanical properties of materials in the magnetic structural analysis are indirect and relationships between the measured parameters are correlated. An important physical parameter of steel is hardness. An increase in the correlation coefficient R and a reduction in the standard deviation (SD) are achieved when controlling the hardness of steels with two-parameter magnetic methods compared to methods that use a single measured parameter. However, the specific conditions and requirements for application of the two-parameter methods remain unclear. The purpose of this article was to analyze conditions and the achievable error reduction limit for two-parameter indirect determination of steels hardness and to compare those with one-parameter methods.In particular, we considered the mean Square Deviation (SD), σF , of indirect calculation of the physical quantity F using two measured parameters x1 and x2 that are correlated with F. It was found that reduction of σF is most pronounced when x1 and x2 are inversely correlated with the maximum modulus |R| of the correlation coefficient R between them. The most significant reduction in σF occurs at similar values of the SDs σ1 and σ2 between the true value of F and the values calculated based on the results of indirect measurements of F usingeach of the parameters x1 and x2 . The Results of the analysis are confirmed by an example of reduction in SD when determining the hardness of carbon steels by measuring their remanent magnetization and coercive force compared to use any one of these parameters.This result can be applied to measurements in non-destructive testing and in related fields of physics and technology. The Results of the analysis allow us to compare different parameters for indirect two-parameter determination of a physical quantity, to select the optimal parameters, and to evaluate the minimum achievable measurement error of a physical quantity by a two-parameter method before performing the measurements.

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Section: Analysis and Its Resultsmentioning

confidence: 99%