{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T13:12:28Z","timestamp":1773925948839,"version":"3.50.1"},"reference-count":26,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,5,21]],"date-time":"2024-05-21T00:00:00Z","timestamp":1716249600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key Research and Development Program of China","award":["2021YFB2011600"],"award-info":[{"award-number":["2021YFB2011600"]}]},{"name":"National Key Research and Development Program of China","award":["SDDX-ZG-202303039"],"award-info":[{"award-number":["SDDX-ZG-202303039"]}]},{"name":"National Key Research and Development Program of China","award":["QDBSH20230102056"],"award-info":[{"award-number":["QDBSH20230102056"]}]},{"name":"Shandong Postdoctora1 Science Foundation","award":["2021YFB2011600"],"award-info":[{"award-number":["2021YFB2011600"]}]},{"name":"Shandong Postdoctora1 Science Foundation","award":["SDDX-ZG-202303039"],"award-info":[{"award-number":["SDDX-ZG-202303039"]}]},{"name":"Shandong Postdoctora1 Science Foundation","award":["QDBSH20230102056"],"award-info":[{"award-number":["QDBSH20230102056"]}]},{"name":"Postdoctoral Project of Qingdao","award":["2021YFB2011600"],"award-info":[{"award-number":["2021YFB2011600"]}]},{"name":"Postdoctoral Project of Qingdao","award":["SDDX-ZG-202303039"],"award-info":[{"award-number":["SDDX-ZG-202303039"]}]},{"name":"Postdoctoral Project of Qingdao","award":["QDBSH20230102056"],"award-info":[{"award-number":["QDBSH20230102056"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Ferromagnetic pipes are widely used in the oil and gas industry. They are subject to cracks due to corrosion, pressure, and fatigue. It is significant to detect cracks for the safety of pipes. A residual magnetic field testing (RMFT) system is developed for crack detection in ferromagnetic pipes. Based on this background, a detection probe based on an array of tunneling magneto-resistive (TMR) sensors and permanent magnets is exploited. The probe is able to partially magnetize the pipe wall and collect magnetic signals simultaneously. First, a theoretical analysis of RMFT is presented. The physics principle of RMFT is introduced, and a finite element model is built. In the finite element simulations, the effects of the crack length and depth on the RMFT signal are analyzed, and the signal characteristics are selected to represent the crack size. Next, the validated experiments are conducted to demonstrate the feasibility of the proposed RMFT method in this paper.<\/jats:p>","DOI":"10.3390\/s24113259","type":"journal-article","created":{"date-parts":[[2024,5,21]],"date-time":"2024-05-21T05:40:47Z","timestamp":1716270047000},"page":"3259","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Residual Magnetic Field Testing System with Tunneling Magneto-Resistive Arrays for Crack Inspection in Ferromagnetic Pipes"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-7583-8196","authenticated-orcid":false,"given":"Shuxiang","family":"Zhao","sequence":"first","affiliation":[{"name":"Qingdao Innovation and Development Base, Harbin Engineering University, Qingdao 266400, China"},{"name":"Moganshan Institute of Geomagnetism Large Scale Scientific Facility, Zhejiang, Huzhou 313200, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0459-3328","authenticated-orcid":false,"given":"Junqi","family":"Gao","sequence":"additional","affiliation":[{"name":"Qingdao Innovation and Development Base, Harbin Engineering University, Qingdao 266400, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0538-5520","authenticated-orcid":false,"given":"Jiamin","family":"Chen","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Transducer Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100094, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4501-8477","authenticated-orcid":false,"given":"Lindong","family":"Pan","sequence":"additional","affiliation":[{"name":"Qingdao Innovation and Development Base, Harbin Engineering University, Qingdao 266400, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/j.jngse.2016.12.039","article-title":"A review on welding of high strength oil and gas pipeline steels","volume":"38","author":"Sharma","year":"2017","journal-title":"J. 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