A.K. Bind , Avinash Gopalan , S. Sunil , R.N. Singh
{"title":"裂缝长度测量误差对 Jmax 的敏感性分析","authors":"A.K. Bind , Avinash Gopalan , S. Sunil , R.N. Singh","doi":"10.1016/j.ijpvp.2025.105522","DOIUrl":null,"url":null,"abstract":"<div><div>Recently it was reported that maximum load fracture toughness (<em>J</em><sub><em>max</em></sub>) of Zr-2.5Nb pressure tube (PT) material was practically unaffected by error in crack growth (<em>Δa</em>) measurement. To check the sensitivity of the <em>J</em><sub><em>max</em></sub> to error in <em>Δa</em> measurement, the <em>J</em><sub><em>max</em></sub> was calculated assuming no crack growth up to the maximum load (<em>P</em><sub><em>max</em></sub>) for Zr-2.5Nb and zircaloy-2 PT material as well as four different steels. For all six materials, for load up to the <em>P</em><sub><em>max</em></sub>, the <em>J</em> values calculated assuming no crack growth (<em>J</em><sub><em>o</em></sub>) were practically same as that calculated based on the measured <em>Δa</em> (<em>J</em><sub><em>c</em></sub>). Based on deformation theory of <em>J</em>, an analytic criterion was developed to check the sensitivity of the <em>J</em><sub><em>max</em></sub> to the error in <em>Δa</em><sub><em>max</em></sub>. An excellent correlation was established between <em>J</em><sub><em>max</em></sub> calculated using the measured <em>Δa</em><sub><em>max</em></sub> (<em>J</em><sub><em>cmax</em></sub>) and <em>J</em><sub><em>max</em></sub> calculated using assuming no crack growth (<em>J</em><sub><em>omax</em></sub>). These findings will be very useful to calculate <em>J</em><sub><em>max</em></sub> and/or and then <em>J</em><sub><em>IC</em></sub> using established relationship between <em>J</em><sub><em>IC</em></sub> and <em>J</em><sub><em>max</em></sub> without any crack growth measurement system during fracture test for wide range of materials with fracture toughness in the range of 15–1200 kJ/m<sup>2</sup> and crack extension up to 2.3 mm. This is very useful for the conditions where it is very difficult to measure the crack growth during fracture tests such as irradiated material.</div></div>","PeriodicalId":54946,"journal":{"name":"International Journal of Pressure Vessels and Piping","volume":"216 ","pages":"Article 105522"},"PeriodicalIF":3.0000,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sensitivity analysis of error in crack length measurement on Jmax\",\"authors\":\"A.K. Bind , Avinash Gopalan , S. Sunil , R.N. Singh\",\"doi\":\"10.1016/j.ijpvp.2025.105522\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Recently it was reported that maximum load fracture toughness (<em>J</em><sub><em>max</em></sub>) of Zr-2.5Nb pressure tube (PT) material was practically unaffected by error in crack growth (<em>Δa</em>) measurement. To check the sensitivity of the <em>J</em><sub><em>max</em></sub> to error in <em>Δa</em> measurement, the <em>J</em><sub><em>max</em></sub> was calculated assuming no crack growth up to the maximum load (<em>P</em><sub><em>max</em></sub>) for Zr-2.5Nb and zircaloy-2 PT material as well as four different steels. For all six materials, for load up to the <em>P</em><sub><em>max</em></sub>, the <em>J</em> values calculated assuming no crack growth (<em>J</em><sub><em>o</em></sub>) were practically same as that calculated based on the measured <em>Δa</em> (<em>J</em><sub><em>c</em></sub>). Based on deformation theory of <em>J</em>, an analytic criterion was developed to check the sensitivity of the <em>J</em><sub><em>max</em></sub> to the error in <em>Δa</em><sub><em>max</em></sub>. An excellent correlation was established between <em>J</em><sub><em>max</em></sub> calculated using the measured <em>Δa</em><sub><em>max</em></sub> (<em>J</em><sub><em>cmax</em></sub>) and <em>J</em><sub><em>max</em></sub> calculated using assuming no crack growth (<em>J</em><sub><em>omax</em></sub>). These findings will be very useful to calculate <em>J</em><sub><em>max</em></sub> and/or and then <em>J</em><sub><em>IC</em></sub> using established relationship between <em>J</em><sub><em>IC</em></sub> and <em>J</em><sub><em>max</em></sub> without any crack growth measurement system during fracture test for wide range of materials with fracture toughness in the range of 15–1200 kJ/m<sup>2</sup> and crack extension up to 2.3 mm. This is very useful for the conditions where it is very difficult to measure the crack growth during fracture tests such as irradiated material.</div></div>\",\"PeriodicalId\":54946,\"journal\":{\"name\":\"International Journal of Pressure Vessels and Piping\",\"volume\":\"216 \",\"pages\":\"Article 105522\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2025-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Pressure Vessels and Piping\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0308016125000924\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Pressure Vessels and Piping","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0308016125000924","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Sensitivity analysis of error in crack length measurement on Jmax
Recently it was reported that maximum load fracture toughness (Jmax) of Zr-2.5Nb pressure tube (PT) material was practically unaffected by error in crack growth (Δa) measurement. To check the sensitivity of the Jmax to error in Δa measurement, the Jmax was calculated assuming no crack growth up to the maximum load (Pmax) for Zr-2.5Nb and zircaloy-2 PT material as well as four different steels. For all six materials, for load up to the Pmax, the J values calculated assuming no crack growth (Jo) were practically same as that calculated based on the measured Δa (Jc). Based on deformation theory of J, an analytic criterion was developed to check the sensitivity of the Jmax to the error in Δamax. An excellent correlation was established between Jmax calculated using the measured Δamax (Jcmax) and Jmax calculated using assuming no crack growth (Jomax). These findings will be very useful to calculate Jmax and/or and then JIC using established relationship between JIC and Jmax without any crack growth measurement system during fracture test for wide range of materials with fracture toughness in the range of 15–1200 kJ/m2 and crack extension up to 2.3 mm. This is very useful for the conditions where it is very difficult to measure the crack growth during fracture tests such as irradiated material.
期刊介绍:
Pressure vessel engineering technology is of importance in many branches of industry. This journal publishes the latest research results and related information on all its associated aspects, with particular emphasis on the structural integrity assessment, maintenance and life extension of pressurised process engineering plants.
The anticipated coverage of the International Journal of Pressure Vessels and Piping ranges from simple mass-produced pressure vessels to large custom-built vessels and tanks. Pressure vessels technology is a developing field, and contributions on the following topics will therefore be welcome:
• Pressure vessel engineering
• Structural integrity assessment
• Design methods
• Codes and standards
• Fabrication and welding
• Materials properties requirements
• Inspection and quality management
• Maintenance and life extension
• Ageing and environmental effects
• Life management
Of particular importance are papers covering aspects of significant practical application which could lead to major improvements in economy, reliability and useful life. While most accepted papers represent the results of original applied research, critical reviews of topical interest by world-leading experts will also appear from time to time.
International Journal of Pressure Vessels and Piping is indispensable reading for engineering professionals involved in the energy, petrochemicals, process plant, transport, aerospace and related industries; for manufacturers of pressure vessels and ancillary equipment; and for academics pursuing research in these areas.