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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Autores: Baro Tijerina , Manuel, Piña Monarrez, Manuel Román, Barraza Contrera, Jesús
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2022
País:México
Recursos:UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIA
Repositório:Revista de Ciencias Tecnológicas
Idioma:inglês
espanhol
OAI Identifier:oai:ojs.recit.uabc.mx:article/230
Acesso em linha:https://recit.uabc.mx/index.php/revista/article/view/230
Access Level:Acceso aberto
Palavra-chave: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
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spelling Weibull strength distribution and reliability S-N percentiles for tensile testsAnálisis de resistencia Weibull para los percentiles S-N y su nivel de confiabilidad en test de tensión Baro Tijerina , ManuelPiña Monarrez, Manuel RománBarraza Contrera, JesúsMechanical designTrue stress-strainWeibull distribution.Fatigue reliability analysisStress/StrengthReliability EngineeringDiseño mecánicoEstrés-resistenciaDistribución WeibullAnálisis de fatigaIngeniería de confiabilidadBased 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 California2022-09-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdftext/htmltext/xmlhttps://recit.uabc.mx/index.php/revista/article/view/23010.37636/recit.v5n3e230REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 5 No. 3 (2022): July-September; e230REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 5 Núm. 3 (2022): Julio-Septiembre; e2302594-1925reponame:Revista de Ciencias Tecnológicasinstname:UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIAinstacron:UABCengspahttps://recit.uabc.mx/index.php/revista/article/view/230/377https://recit.uabc.mx/index.php/revista/article/view/230/378https://recit.uabc.mx/index.php/revista/article/view/230/444Copyright (c) 2022 Manuel Baro Tijerina, Manuel Román Piña Monarrez, Jesús Barraza Contrerashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.recit.uabc.mx:article/2302024-08-22T16:47:05Z
dc.title.none.fl_str_mv 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
title Weibull strength distribution and reliability S-N percentiles for tensile tests
spellingShingle Weibull strength distribution and reliability S-N percentiles for tensile tests
Baro Tijerina , Manuel
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
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
dc.creator.none.fl_str_mv Baro Tijerina , Manuel
Piña Monarrez, Manuel Román
Barraza Contrera, Jesús
author Baro Tijerina , Manuel
author_facet Baro Tijerina , Manuel
Piña Monarrez, Manuel Román
Barraza Contrera, Jesús
author_role author
author2 Piña Monarrez, Manuel Román
Barraza Contrera, Jesús
author2_role author
author
dc.subject.none.fl_str_mv 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
topic 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
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.
publishDate 2022
dc.date.none.fl_str_mv 2022-09-22
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://recit.uabc.mx/index.php/revista/article/view/230
10.37636/recit.v5n3e230
url https://recit.uabc.mx/index.php/revista/article/view/230
identifier_str_mv 10.37636/recit.v5n3e230
dc.language.none.fl_str_mv eng
spa
language eng
spa
dc.relation.none.fl_str_mv 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
dc.rights.none.fl_str_mv Copyright (c) 2022 Manuel Baro Tijerina, Manuel Román Piña Monarrez, Jesús Barraza Contreras
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2022 Manuel Baro Tijerina, Manuel Román Piña Monarrez, Jesús Barraza Contreras
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
text/xml
dc.publisher.none.fl_str_mv Universidad Autónoma de Baja California
publisher.none.fl_str_mv Universidad Autónoma de Baja California
dc.source.none.fl_str_mv 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
reponame:Revista de Ciencias Tecnológicas
instname:UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIA
instacron:UABC
instname_str UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIA
instacron_str UABC
institution UABC
reponame_str Revista de Ciencias Tecnológicas
collection Revista de Ciencias Tecnológicas
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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