Weibull strength distribution and reliability S-N percentiles for tensile tests
Based on the true stress, the ultimate material’s strength, and the fatigue slope b values, the probabilistic percentiles of the S-N curve of ductile materials are formulated. The Weibull β and η parameters used to determine the product’s reliability are determined directly from the material’s stren...
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Universidad Autónoma de Baja California
2022
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recit-article-2302023-07-31T23:38:01Z Weibull strength distribution and reliability S-N percentiles for tensile tests Análisis de resistencia Weibull para los percentiles S-N y su nivel de confiabilidad en test de tensión Baro Tijerina , Manuel Piña Monarrez, Manuel Román Barraza Contrera, Jesús Mechanical design True stress-strain Weibull distribution. Fatigue reliability analysis Stress/Strength Reliability Engineering Diseño mecánico Estrés-resistencia Distribución Weibull Análisis de fatiga Ingeniería de confiabilidad Based on the true stress, the ultimate material’s strength, and the fatigue slope b values, the probabilistic percentiles of the S-N curve of ductile materials are formulated. The Weibull β and η parameters used to determine the product’s reliability are determined directly from the material’s strength values corresponding to 103 and 106 cycles. And since in Table corresponding to the properties of this A538 A (b) steel and collected by table 23-A of Shigley Mechanical Engineering Design book; authors present the σt, Sut, and b values of several materials, then the Weibull parameters for each one of these materials as well as the 95% and 5% reliability percentiles of their S-N curves are given. A step-by-step application to the steel A538 A (b) material is presented. And based on the maximum and minimum applied stress values, the corresponding Weibull stress distribution was fitted and used with the Weibull strength distribution, in the stress/strength reliability function to determine the element’s reliability. Basado en el estrés verdadero σ_t, la última resistencia del material S_ut, y la curva de fatiga b, la curva S-N de material de acero dúctil es formulada. La distribución Weibull con parámetros β y η son usados para determinar la confiabilidad del elemento y ambos son directamente determinados por la resistencia del material que en este caso corresponde a 103 y 106 ciclos. Y como corresponde en la tabla de propiedades del acero A538 A (b) y recolectada esta información del libro de Ingeniería mecánica de Shigley: los autores presentan el estrés verdadero, ultimo estrés y la curva de diferentes materiales. Entonces los parámetros Weibull β y η, así como los percentiles de confiabilidad 95 y 5 % de la curva S-N son presentados. Se presenta una aplicación paso por paso para el acero A538 A (b). Y basado en el máximo y mínimo estrés aplicado, la distribución Weibull correspondientes es presentada. Por último, basado en el máximo y mínimo estrés, la distribución Weibull correspondiente fue ajustada y usada con la resistencia de la distribución Weibull, en la función estrés-resistencia de confiabilidad con el objeto de estimar la confiabilidad del elemento. Universidad Autónoma de Baja California 2022-09-22 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html text/xml https://recit.uabc.mx/index.php/revista/article/view/230 10.37636/recit.v5n3e230 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 5 No. 3 (2022): July-September; e230 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 5 Núm. 3 (2022): Julio-Septiembre; e230 2594-1925 eng spa https://recit.uabc.mx/index.php/revista/article/view/230/377 https://recit.uabc.mx/index.php/revista/article/view/230/378 https://recit.uabc.mx/index.php/revista/article/view/230/444 Copyright (c) 2022 Manuel Baro Tijerina, Manuel Román Piña Monarrez, Jesús Barraza Contreras https://creativecommons.org/licenses/by/4.0 |
| institution |
RECIT |
| collection |
OJS |
| language |
eng spa |
| format |
Online |
| author |
Baro Tijerina , Manuel Piña Monarrez, Manuel Román Barraza Contrera, Jesús |
| spellingShingle |
Baro Tijerina , Manuel Piña Monarrez, Manuel Román Barraza Contrera, Jesús Weibull strength distribution and reliability S-N percentiles for tensile tests |
| author_facet |
Baro Tijerina , Manuel Piña Monarrez, Manuel Román Barraza Contrera, Jesús |
| author_sort |
Baro Tijerina , Manuel |
| title |
Weibull strength distribution and reliability S-N percentiles for tensile tests |
| title_short |
Weibull strength distribution and reliability S-N percentiles for tensile tests |
| title_full |
Weibull strength distribution and reliability S-N percentiles for tensile tests |
| title_fullStr |
Weibull strength distribution and reliability S-N percentiles for tensile tests |
| title_full_unstemmed |
Weibull strength distribution and reliability S-N percentiles for tensile tests |
| title_sort |
weibull strength distribution and reliability s-n percentiles for tensile tests |
| description |
Based on the true stress, the ultimate material’s strength, and the fatigue slope b values, the probabilistic percentiles of the S-N curve of ductile materials are formulated. The Weibull β and η parameters used to determine the product’s reliability are determined directly from the material’s strength values corresponding to 103 and 106 cycles. And since in Table corresponding to the properties of this A538 A (b) steel and collected by table 23-A of Shigley Mechanical Engineering Design book; authors present the σt, Sut, and b values of several materials, then the Weibull parameters for each one of these materials as well as the 95% and 5% reliability percentiles of their S-N curves are given. A step-by-step application to the steel A538 A (b) material is presented. And based on the maximum and minimum applied stress values, the corresponding Weibull stress distribution was fitted and used with the Weibull strength distribution, in the stress/strength reliability function to determine the element’s reliability. |
| publisher |
Universidad Autónoma de Baja California |
| publishDate |
2022 |
| url |
https://recit.uabc.mx/index.php/revista/article/view/230 |
| _version_ |
1792095378631294976 |
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