EN ISO 20501:2022
(Main)Fine ceramics (advanced ceramics, advanced technical ceramics) - Weibull statistics for strength data (ISO 20501:2019)
Fine ceramics (advanced ceramics, advanced technical ceramics) - Weibull statistics for strength data (ISO 20501:2019)
This document covers the reporting of uniaxial strength data and the estimation of probability distribution parameters for advanced ceramics which fail in a brittle fashion. The failure strength of advanced ceramics is treated as a continuous random variable. Typically, a number of test specimens with well-defined geometry are brought to failure under well-defined isothermal loading conditions. The load at which each specimen fails is recorded. The resulting failure stresses are used to obtain parameter estimates associated with the underlying population distribution.
This document is restricted to the assumption that the distribution underlying the failure strengths is the two-parameter Weibull distribution with size scaling. Furthermore, this document is restricted to test specimens (tensile, flexural, pressurized ring, etc.) that are primarily subjected to uniaxial stress states. Subclauses 6.4 and 6.5 outline methods of correcting for bias errors in the estimated Weibull parameters, and to calculate confidence bounds on those estimates from data sets where all failures originate from a single flaw population (i.e. a single failure mode). In samples where failures originate from multiple independent flaw populations (e.g. competing failure modes), the methods outlined in 6.4 and 6.5 for bias correction and confidence bounds are not applicable.
Hochleistungskeramik - Weibullstatistik von Festigkeitswerten (ISO 20501:2019)
Céramiques techniques - Analyse statistique de Weibull des données de résistance à la rupture (ISO 20501:2019)
Le présent document traite de l'analyse statistique des données de résistance uniaxiale à la rupture et de l'estimation des paramètres de leur distribution statistique pour les céramiques techniques qui rompent de manière fragile. La résistance à la rupture des céramiques techniques est traitée comme une variable aléatoire continue. En général, plusieurs éprouvettes de géométrie bien définie sont rompues dans des conditions de chargement isothermes bien définies. La charge à laquelle se rompt chaque éprouvette est enregistrée. Les paramètres associés à la distribution statistique des contraintes de rupture correspondantes sont déterminés.
Le présent document est limité à l'hypothèse que la distribution des résistances à la rupture est la distribution de Weibull à deux paramètres avec correction d'échelle. En outre, le présent document est limité aux éprouvettes (résistance à la traction, à la flexion, anneau sous pression, etc.) qui sont principalement soumises à des états de contrainte uniaxiaux. Les paragraphes 6.4 et 6.5 présentent des méthodes pour corriger les biais dans les paramètres de Weibull estimés, et pour calculer les limites de confiance de ces estimations à partir de séries de données où toutes les ruptures proviennent d'une population de défauts unique (c'est-à-dire un seul mode de rupture). Dans les échantillons où les ruptures proviennent de plusieurs populations de défauts indépendantes (par exemple, modes de rupture concurrents), les méthodes présentées en 6.4 et en 6.5 pour la correction du biais et les limites de confiance ne sont pas applicables.
Fina keramika (sodobna keramika, sodobna tehnična keramika) - Weibullova statistika za podatke o trdnosti (ISO 20501:2019)
Ta dokument zajema sporočanje podatkov o enoosni trdnosti in oceno parametrov verjetnostne porazdelitve za sodobno keramiko, pri kateri prihaja do lomov zaradi krhkosti. Trdnost loma sodobne keramike se obravnava kot zvezna slučajna spremenljivka. Običajno se več preskušancev z natančno določeno geometrijo zlomi pod natančno določenimi pogoji izotermične obremenitve. Zabeleži se obremenitev, pri kateri se posamezni preskušanec zlomi. Posledične obremenitve do loma se uporabijo za pridobitev ocen parametrov, povezanih z osnovno porazdelitvijo populacije.
Ta dokument je omejen na predpostavko, da je porazdelitev, na kateri temeljijo trdnosti lomov, dvoparametrska Weibullova porazdelitev s povečanjem velikosti. Omejen je tudi na preskuševance (nateznost, upogibnost, tlačni obroč itd.), ki so izpostavljeni predvsem enoosnim obremenitvam. V podtočkah 6.4 in 6.5 so opisane metode za odpravljanje sistematičnih napak v ocenjenih Weibullovih parametrih in izračun meja zaupanja za te ocene iz nizov podatkov, pri čemer vsi lomi izvirajo iz ene same populacije napak (tj. ene vrste zloma). Metode, opisane v podtočkah 6.4 in 6.5, za odpravljanje sistematičnih napak in meje zaupanja se ne uporabljajo za vzorce, katerih lomi izvirajo iz več neodvisnih populacij napak (npr. konkurenčnih vrst zloma).
General Information
Relations
Standards Content (Sample)
SLOVENSKI STANDARD
01-marec-2023
Nadomešča:
SIST EN 843-5:2007
Fina keramika (sodobna keramika, sodobna tehnična keramika) - Weibullova
statistika za podatke o trdnosti (ISO 20501:2019)
Fine ceramics (advanced ceramics, advanced technical ceramics) - Weibull statistics for
strength data (ISO 20501:2019)
Hochleistungskeramik - Weibullstatistik von Festigkeitswerten (ISO 20501:2019)
Céramiques techniques - Analyse statistique de Weibull des données de résistance à la
rupture (ISO 20501:2019)
Ta slovenski standard je istoveten z: EN ISO 20501:2022
ICS:
81.060.30 Sodobna keramika Advanced ceramics
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
EN ISO 20501
EUROPEAN STANDARD
NORME EUROPÉENNE
December 2022
EUROPÄISCHE NORM
ICS 81.060.30 Supersedes EN 843-5:2006
English Version
Fine ceramics (advanced ceramics, advanced technical
ceramics) - Weibull statistics for strength data (ISO
20501:2019)
Céramiques techniques - Analyse statistique de Hochleistungskeramik - Weibullstatistik von
Weibull des données de résistance à la rupture (ISO Festigkeitswerten (ISO 20501:2019)
20501:2019)
This European Standard was approved by CEN on 20 December 2022.
CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this
European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references
concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN
member.
This European Standard exists in three official versions (English, French, German). A version in any other language made by
translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management
Centre has the same status as the official versions.
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Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway,
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United Kingdom.
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COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2022 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 20501:2022 E
worldwide for CEN national Members.
Contents Page
European foreword . 3
European foreword
The text of ISO 20501:2019 has been prepared by Technical Committee ISO/TC 206 "Fine ceramics” of
the International Organization for Standardization (ISO) and has been taken over as EN ISO 20501:2022
by Technical Committee CEN/TC 184 “Advanced technical ceramics” the secretariat of which is held by
DIN.
This European Standard shall be given the status of a national standard, either by publication of an
identical text or by endorsement, at the latest by June 2023, and conflicting national standards shall be
withdrawn at the latest by June 2023.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
This document supersedes EN 843-5:2006.
Any feedback and questions on this document should be directed to the users’ national standards body.
A complete listing of these bodies can be found on the CEN website.
According to the CEN-CENELEC Internal Regulations, the national standards organizations of the
following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,
Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland,
Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Republic of
North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Türkiye and the
United Kingdom.
Endorsement notice
The text of ISO 20501:2019 has been approved by CEN as EN ISO 20501:2022 without any modification.
INTERNATIONAL ISO
STANDARD 20501
Second edition
2019-03
Fine ceramics (advanced ceramics,
advanced technical ceramics) —
Weibull statistics for strength data
Céramiques techniques — Analyse statistique de Weibull des données
de résistance à la rupture
Reference number
ISO 20501:2019(E)
©
ISO 2019
ISO 20501:2019(E)
© ISO 2019
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
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ii © ISO 2019 – All rights reserved
ISO 20501:2019(E)
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
3.1 Defect populations . 1
3.2 Mechanical testing . 3
3.3 Statistical terms . 3
3.4 Weibull distributions . 4
4 Symbols . 5
5 Significance and use . 6
6 Method A: maximum likelihood parameter estimators for single flaw populations .7
6.1 General . 7
6.2 Censored data . 8
6.3 Likelihood functions . 8
6.4 Bias correction . 8
6.5 Confidence intervals .10
7 Method B: maximum likelihood parameter estimators for competing flaw populations .13
7.1 General .13
7.2 Censored data .14
7.3 Likelihood functions .14
8 Procedure.15
8.1 Outlying observations .15
8.2 Fractography .15
8.3 Graphical representation .16
9 Test report .18
Annex A (informative) Converting to material-specific strength distribution parameters .19
Annex B (informative) Illustrative examples .21
Annex C (informative) Test specimens with unidentified fracture origin .28
Annex D (informative) Fortran program .31
Bibliography .36
ISO 20501:2019(E)
Foreword
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This document was prepared by Technical Committee ISO/TC 206, Fine ceramics.
This second edition cancels and replaces the first edition (ISO 20501:2003), which has been technically
revised. It also incorporates the Technical Corrigendum ISO 20501:2003/Cor.1:2009.
The main changes compared to the previous edition are as follows:
— the terms and definitions in Clause 3 have been updated and modified;
— a method to treat a higher number of specimens (N > 120) has been introduced for method A:
maximum likelihood parameter estimators for single fla
...
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