{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:54:37Z","timestamp":1740149677113,"version":"3.37.3"},"reference-count":45,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T00:00:00Z","timestamp":1717632000000},"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":["2022YFF0605600"]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China (NSFC)","doi-asserted-by":"crossref","award":["52105550"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Scientific Research Foundation of Hubei University of Technology","award":["GCC2024001"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"The quantitative evaluation of defects is extremely important, as it can avoid harm caused by underevaluation or losses caused by overestimation, especially for internal defects. The magnetic permeability perturbation testing (MPPT) method performs well for thick-walled steel pipes, but the burial depth of the defect is difficult to access directly from a single time-domain signal, which is not conducive to the evaluation of defects. In this paper, the phenomenon of layering of magnetization that occurs in ferromagnetic materials under an unsaturated magnetizing field is described. Different magnetization depths are achieved by applying step magnetization. The relationship curves between the magnetization characteristic currents and the magnetization depths are established by finite element simulations. The spatial properties of each layering can be detected by different magnetization layering. The upper and back boundaries of the defect are then localized by a double-sided scan to finally arrive at the depth size of the defect. Defects with depth size of 2 mm are evaluated experimentally. The maximum relative error is 5%.<\/jats:p>","DOI":"10.3390\/s24113689","type":"journal-article","created":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T12:45:37Z","timestamp":1717677937000},"page":"3689","source":"Crossref","is-referenced-by-count":1,"title":["Evaluation of Depth Size Based on Layered Magnetization by Double-Sided Scanning for Internal Defects"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1299-6314","authenticated-orcid":false,"given":"Zhiyang","family":"Deng","sequence":"first","affiliation":[{"name":"Key Lab of Modern Manufacture Quality Engineering, Hubei University of Technology, Wuhan 430068, China"}]},{"given":"Dingkun","family":"Qian","sequence":"additional","affiliation":[{"name":"Key Lab of Modern Manufacture Quality Engineering, Hubei University of Technology, Wuhan 430068, China"}]},{"given":"Haifei","family":"Hong","sequence":"additional","affiliation":[{"name":"Key Lab of Modern Manufacture Quality Engineering, Hubei University of Technology, Wuhan 430068, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8339-4441","authenticated-orcid":false,"given":"Xiaochun","family":"Song","sequence":"additional","affiliation":[{"name":"Key Lab of Modern Manufacture Quality Engineering, Hubei University of Technology, Wuhan 430068, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2622-4769","authenticated-orcid":false,"given":"Yihua","family":"Kang","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology, Wuhan 430074, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"12860","DOI":"10.1109\/TIE.2023.3239862","article-title":"Cross-Correlation Inspired Residual Network for Pulsed Eddy Current Imaging and Detecting of Subsurface Defects","volume":"70","author":"Sun","year":"2023","journal-title":"IEEE Trans. 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