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{{AFC comment|1=Requesting a review at [[WT:WikiProject Engineering]]. [[User:Robert McClenon|Robert McClenon]] ([[User talk:Robert McClenon|talk]]) 02:21, 12 June 2019 (UTC)}}
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Representing in a graph Y (ΔK) for any value of R the result obtained is exactly a decreasing straight line, as shown in the figure below:
Then Y varies linearly as a function of ΔK and therefore can be written by a line equation: <center><math>Y=\alpha\Delta K+\beta</math></center> Where the values of the constants α and β are respectively the angular and linear coefficients of the line.
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The coefficients α, δ, γ are easily found from the experimental data by the mathematical method of first order linear regression in space R <sup> 3 </sup> known as [[least squares | least squares method]]. Substituting the β equation into the Individual Alpha-Beta Model gives the equation of the generalized bi-parametric model.
<center><math>\frac{da}{dN}=e^\alpha \cdot e^\tfrac{\delta\log(R)+\gamma}{\Delta K}</math></center>The generalized Alpha-Beta Model is represented by the bi-parametric form, because it describes the [[Fatigue (material)|fatigue]] crack growth for a group of tests carried out on the same material (family of curves) as a function of two loading parameters, ΔK and R.<ref>C. A. R. P. Baptista ; TORRES, M. A. S. ; PASTOUKHOV, V. A. ; ADIB, A. M. L. . Development and evaluation of two-parameter models of fatigue crack growth.. In: 9th International Fatigue Congress., 2006, Atlanta. Proceedings of 9th International Fatigue Congress.. Oxford: Elsevier, 2006. v. v. 1.</ref>
== Referências ==
<references />
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