{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,25]],"date-time":"2026-09-25T18:44:29Z","timestamp":1790361869849,"version":"4.1.0"},"reference-count":44,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,15]],"date-time":"2022-01-15T00:00:00Z","timestamp":1642204800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51675024, 51875020, 51811540406, 51905020, 52022007"],"award-info":[{"award-number":["51675024, 51875020, 51811540406, 51905020, 52022007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Civil Aircraft Science and Technology Major Project","award":["MJ-2018-D-26"],"award-info":[{"award-number":["MJ-2018-D-26"]}]},{"DOI":"10.13039\/501100018537","name":"National Science and Technology Major Project","doi-asserted-by":"publisher","award":["J2019-IV-0009-0077"],"award-info":[{"award-number":["J2019-IV-0009-0077"]}],"id":[{"id":"10.13039\/501100018537","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>The creep-fatigue crack growth problem remains challenging since materials exhibit different linear and nonlinear behaviors depending on the environmental and loading conditions. In this paper, we systematically carried out a series of creep-fatigue crack growth experiments to evaluate the influence from temperature, stress ratio, and dwell time for the nickel-based superalloy GH4720Li. A transition from coupled fatigue-dominated fracture to creep-dominated fracture was observed with the increase of dwell time at 600 \u00b0C, while only the creep-dominated fracture existed at 700 \u00b0C, regardless of the dwell time. A concise binomial crack growth model was constructed on the basis of existing phenomenal models, where the linear terms are included to express the behavior under pure creep loading, and the nonlinear terms were introduced to represent the behavior near the fracture toughness and during the creep-fatigue interaction. Through the model implementation and validation of the proposed model, the correlation coefficient is higher than 0.9 on ten out of twelve sets of experimental data, revealing the accuracy of the proposed model. This work contributes to an enrichment of creep-fatigue crack growth data in the typical nickel-based superalloy at elevated temperatures and could be referable in the modeling for damage tolerance assessment of turbine disks.<\/jats:p>","DOI":"10.3390\/ma15020651","type":"journal-article","created":{"date-parts":[[2022,1,16]],"date-time":"2022-01-16T20:45:21Z","timestamp":1642365921000},"page":"651","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Concise Binomial Model for Nonlinear Creep-Fatigue Crack Growth Behavior at Elevated Temperatures"],"prefix":"10.3390","volume":"15","author":[{"given":"Jianxing","family":"Mao","sequence":"first","affiliation":[{"name":"Research Institute of Aero-Engine, Beihang University, Beijing 100191, China"},{"name":"Beijing Key Laboratory of Aero-Engine Structure and Strength, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhixing","family":"Xiao","sequence":"additional","affiliation":[{"name":"School of Energy and Power Engineering, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6264-670X","authenticated-orcid":false,"given":"Dianyin","family":"Hu","sequence":"additional","affiliation":[{"name":"Research Institute of Aero-Engine, Beihang University, Beijing 100191, China"},{"name":"Beijing Key Laboratory of Aero-Engine Structure and Strength, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaojun","family":"Guo","sequence":"additional","affiliation":[{"name":"China Aviation Power Machinary Research Institute, Zhuzhou 412002, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rongqiao","family":"Wang","sequence":"additional","affiliation":[{"name":"Research Institute of Aero-Engine, Beihang University, Beijing 100191, China"},{"name":"Beijing Key Laboratory of Aero-Engine Structure and Strength, Beihang University, Beijing 100191, China"},{"name":"School of Energy and Power Engineering, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1016\/S1350-6307(00)00041-8","article-title":"Fracture analysis of turbine disks and computational\u2013experimental background of the operational decisions","volume":"8","author":"Shlyannikov","year":"2001","journal-title":"Eng. 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