ISO-20501-2003.pdf
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1、 Reference number ISO 20501:2003(E) ISO 2003 INTERNATIONAL STANDARD ISO 20501 First edition 2003-12-01 Fine ceramics (advanced ceramics, advanced technical ceramics) Weibull statistics for strength data Cramiques techniques Statistiques Weibull des donnes de rsistance Copyright International Organiz
2、ation for Standardization Provided by IHS under license with ISO Licensee=Qatar Petroleum/5943408001 Not for Resale, 04/12/2007 00:42:21 MDTNo reproduction or networking permitted without license from IHS -,-,- ISO 20501:2003(E) PDF disclaimer This PDF file may contain embedded typefaces. In accorda
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5、g. Every care has been taken to ensure that the file is suitable for use by ISO member bodies. In the unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below. ISO 2003 All rights reserved. Unless otherwise specified, no part of this pub
6、lication may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or ISOs member body in the country of the requester. ISO copyright office Case postale 56 CH-1211 Gen
7、eva 20 Tel. + 41 22 749 01 11 Fax + 41 22 749 09 47 E-mail copyrightiso.org Web www.iso.org Published in Switzerland ii ISO 2003 All rights reserved Copyright International Organization for Standardization Provided by IHS under license with ISO Licensee=Qatar Petroleum/5943408001 Not for Resale, 04/
8、12/2007 00:42:21 MDTNo reproduction or networking permitted without license from IHS -,-,- ISO 20501:2003(E) ISO 2003 All rights reserved iii Contents Page Forewordiv 1 Scope1 2 Terms and definitions.1 2.1 Defect populations1 2.2 Mechanical testing2 2.3 Statistical terms 3 2.4 Weibull distributions.
9、4 3 Symbols .5 4 Significance and use 6 5 Method A: maximum likelihood parameter estimators for single flaw populations7 5.1 General.7 5.2 Censored data .7 5.3 Likelihood functions.7 5.4 Bias correction8 5.5 Confidence intervals.9 6 Method B: maximum likelihood parameter estimators for competing fla
10、w populations 11 6.1 General.11 6.2 Censored data .12 6.3 Likelihood functions.12 7 Procedure.13 7.1 Outlying observations13 7.2 Fractography .13 7.3 Graphical representation13 8 Test report16 Annex A (informative) Converting to material-specific strength distribution parameters17 Annex B (informati
11、ve) Illustrative examples19 Annex C (informative) Test specimens with unidentified fracture origin.26 Annex D (informative) Fortran program .29 Bibliography .33 Copyright International Organization for Standardization Provided by IHS under license with ISO Licensee=Qatar Petroleum/5943408001 Not for
12、 Resale, 04/12/2007 00:42:21 MDTNo reproduction or networking permitted without license from IHS -,-,- ISO 20501:2003(E) iv ISO 2003 All rights reserved Foreword ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The w
13、ork of preparing International Standards is normally carried out through ISO technical committees. Each member body interested in a subject for which a technical committee has been established has the right to be represented on that committee. International organizations, governmental and non-govern
14、mental, in liaison with ISO, also take part in the work. ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization. International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2. The
15、 main task of technical committees is to prepare International Standards. Draft International Standards adopted by the technical committees are circulated to the member bodies for voting. Publication as an International Standard requires approval by at least 75 % of the member bodies casting a vote.
16、 Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. ISO shall not be held responsible for identifying any or all such patent rights. ISO 20501 was prepared by Technical Committee ISO/TC 206, Fine ceramics. Copyright International Org
17、anization for Standardization Provided by IHS under license with ISO Licensee=Qatar Petroleum/5943408001 Not for Resale, 04/12/2007 00:42:21 MDTNo reproduction or networking permitted without license from IHS -,-,- INTERNATIONAL STANDARD ISO 20501:2003(E) ISO 2003 All rights reserved 1 Fine ceramics
18、 (advanced ceramics, advanced technical ceramics) Weibull statistics for strength data 1 Scope This International Standard 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 stren
19、gth 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
20、 obtain parameter estimates associated with the underlying population distribution. This International Standard is restricted to the assumption that the distribution underlying the failure strengths is the two-parameter Weibull distribution with size scaling. Furthermore, this International Standard
21、 is restricted to test specimens (tensile, flexural, pressurized ring, etc.) that are primarily subjected to uniaxial stress states. Subclauses 5.4 and 5.5 outline methods of correcting for bias errors in the estimated Weibull parameters, and to calculate confidence bounds on those estimates from da
22、ta 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 5.4 and 5.5 for bias correction and confidence bounds are not appl
23、icable. Measurements of the strength at failure are taken for one of two reasons: either for a comparison of the relative quality of two materials, or the prediction of the probability of failure (or alternatively the fracture strength) for a structure of interest. This International Standard permit
24、s estimates of the distribution parameters which are needed for either. In addition, this International Standard encourages the integration of mechanical property data and fractographic analysis. 2 Terms and definitions For the purposes of this document, the following terms and definitions apply. 2.
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