Weibull S-N Fatigue Strength Curve Analysis for A572 Gr. 50 Steel, Based on the True Stress—True Strain Approach

In this paper a Weibull methodology to determine the probabilistic percentiles for the S-N curve of the A572 Gr. 50 steel is formulated. The given Weibull/S-N formulation is based on the true stress and true strain values, which are both determined from the stress-strain analysis. For the analysis,...

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Main Authors: Alejandro Molina, Manuel R. Piña-Monarrez, Jesús M. Barraza-Contreras
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/16/5725
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author Alejandro Molina
Manuel R. Piña-Monarrez
Jesús M. Barraza-Contreras
author_facet Alejandro Molina
Manuel R. Piña-Monarrez
Jesús M. Barraza-Contreras
author_sort Alejandro Molina
collection DOAJ
description In this paper a Weibull methodology to determine the probabilistic percentiles for the S-N curve of the A572 Gr. 50 steel is formulated. The given Weibull/S-N formulation is based on the true stress and true strain values, which are both determined from the stress-strain analysis. For the analysis, the Weibull <i>β</i> and <i>η</i> parameters are both determined directly from the maximum and minimum addressed stresses values. The S-N curve parameters are determined for 10<sup>3</sup> and 10<sup>6</sup> cycles. In the application, published experimental data for the CSA G40.21 Gr. 350W steel is used to derive the true stress and true strain parameters of the A572 Gr. 50 steel. Additionally, the application of the S-N curve, its probabilistic percentiles and the Weibull parameters that represent these percentiles are all determined step by step. Since the proposed method is flexible, then it can be applied to determine the probabilistic percentiles of any other material.
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spelling doaj.art-ae2459865c904e41a41c20f02b7d47f62023-11-20T10:33:30ZengMDPI AGApplied Sciences2076-34172020-08-011016572510.3390/app10165725Weibull S-N Fatigue Strength Curve Analysis for A572 Gr. 50 Steel, Based on the True Stress—True Strain ApproachAlejandro Molina0Manuel R. Piña-Monarrez1Jesús M. Barraza-Contreras2Industrial and Manufacturing Department of the Engineering and Technological Institute, Universidad Autónoma de Ciudad Juárez, Cd. Juárez, Chihuahua 32310, MexicoIndustrial and Manufacturing Department of the Engineering and Technological Institute, Universidad Autónoma de Ciudad Juárez, Cd. Juárez, Chihuahua 32310, MexicoIndustrial and Manufacturing Department of the Engineering and Technological Institute, Universidad Autónoma de Ciudad Juárez, Cd. Juárez, Chihuahua 32310, MexicoIn this paper a Weibull methodology to determine the probabilistic percentiles for the S-N curve of the A572 Gr. 50 steel is formulated. The given Weibull/S-N formulation is based on the true stress and true strain values, which are both determined from the stress-strain analysis. For the analysis, the Weibull <i>β</i> and <i>η</i> parameters are both determined directly from the maximum and minimum addressed stresses values. The S-N curve parameters are determined for 10<sup>3</sup> and 10<sup>6</sup> cycles. In the application, published experimental data for the CSA G40.21 Gr. 350W steel is used to derive the true stress and true strain parameters of the A572 Gr. 50 steel. Additionally, the application of the S-N curve, its probabilistic percentiles and the Weibull parameters that represent these percentiles are all determined step by step. Since the proposed method is flexible, then it can be applied to determine the probabilistic percentiles of any other material.https://www.mdpi.com/2076-3417/10/16/5725reliabilitystress-strain analysisstrength analysisfatigue life reliability analysisWeibull distribution
spellingShingle Alejandro Molina
Manuel R. Piña-Monarrez
Jesús M. Barraza-Contreras
Weibull S-N Fatigue Strength Curve Analysis for A572 Gr. 50 Steel, Based on the True Stress—True Strain Approach
Applied Sciences
reliability
stress-strain analysis
strength analysis
fatigue life reliability analysis
Weibull distribution
title Weibull S-N Fatigue Strength Curve Analysis for A572 Gr. 50 Steel, Based on the True Stress—True Strain Approach
title_full Weibull S-N Fatigue Strength Curve Analysis for A572 Gr. 50 Steel, Based on the True Stress—True Strain Approach
title_fullStr Weibull S-N Fatigue Strength Curve Analysis for A572 Gr. 50 Steel, Based on the True Stress—True Strain Approach
title_full_unstemmed Weibull S-N Fatigue Strength Curve Analysis for A572 Gr. 50 Steel, Based on the True Stress—True Strain Approach
title_short Weibull S-N Fatigue Strength Curve Analysis for A572 Gr. 50 Steel, Based on the True Stress—True Strain Approach
title_sort weibull s n fatigue strength curve analysis for a572 gr 50 steel based on the true stress true strain approach
topic reliability
stress-strain analysis
strength analysis
fatigue life reliability analysis
Weibull distribution
url https://www.mdpi.com/2076-3417/10/16/5725
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