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Samuel Sol\u00f3rzano Barruso","award":["SA132G18"],"award-info":[{"award-number":["SA132G18"]}]},{"name":"Fundaci\u00f3n Samuel Sol\u00f3rzano Barruso","award":["FS\/9-2019"],"award-info":[{"award-number":["FS\/9-2019"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>In this paper, a numerical modeling was developed to study (on the basis of the Paris law) the fatigue propagation paths of eccentric external (outer) cracks in circumferentially cracked round bars (CCRB) subjected to a cyclic type of loading in the form of either remote tensile loading or imposed axial displacement. Results show how the eccentricity (in relation to the wire axis) of the circular resistant ligament increases with the growth of outer circumferential cracks by subcritical fatigue mechanisms. This phenomenon is more pronounced when the solicitation consists of a remote tensile loading than when it is an axial displacement, when the initial eccentricity of the ligament increases (for a given initial diameter), and when the Paris exponent characteristic of the material rises. The paper also analyzes in depth the different situations regarding contact between crack faces during subcritical cyclic fatigue propagation, covering a wide range of cases including no contact, partial contact, and full contact depending on the ligament diameter (during the process of fatigue crack advance) and the relative eccentricity of the annular crack that loses its axial symmetry in relation to the round bar (cylinder) axis. In addition to the fatigue crack path study, closed-form stress intensity factor (SIF) solutions for the considered geometry (a cylinder with an outer annular crack) are provided in the form of third-degree polynomial expressions as a function of the ligament diameter and the crack eccentricity (both in dimensionless terms).<\/jats:p>","DOI":"10.3390\/ma16041728","type":"journal-article","created":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T02:29:08Z","timestamp":1676860148000},"page":"1728","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Stress Intensity Factor (SIF) Solutions and Fatigue Crack Paths in Eccentric Circumferentially Cracked Round Bar (CCRB) in Tension"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0144-6886","authenticated-orcid":false,"given":"Jes\u00fas","family":"Toribio","sequence":"first","affiliation":[{"name":"Fracture & Structural Integrity Research Group (FSIRG), University of Salamanca (USAL), E.P.S., Campus Viriato, Avda. Requejo 33, 49022 Zamora, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7709-0292","authenticated-orcid":false,"given":"Juan-Carlos","family":"Matos","sequence":"additional","affiliation":[{"name":"Fracture & Structural Integrity Research Group (FSIRG), University of Salamanca (USAL), E.P.S., Campus Viriato, Avda. Requejo 33, 49022 Zamora, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3631-658X","authenticated-orcid":false,"given":"Beatriz","family":"Gonz\u00e1lez","sequence":"additional","affiliation":[{"name":"Fracture & Structural Integrity Research Group (FSIRG), University of Salamanca (USAL), E.P.S., Campus Viriato, Avda. Requejo 33, 49022 Zamora, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,20]]},"reference":[{"key":"ref_1","unstructured":"(2012). Standard No. ASTM E399."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/0013-7944(86)90253-5","article-title":"Estimating fracture toughness from small specimens","volume":"25","author":"Stark","year":"1986","journal-title":"Eng. Fract. Mech."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/BF00035515","article-title":"Establishing K1c from eccentrically fatigue cracked small circumferentially grooved cylindrical specimens","volume":"44","author":"Ibrahim","year":"1990","journal-title":"Int. J. Fract."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/S0013-7944(99)00056-9","article-title":"Eccentricity correction for the evaluation of fracture toughness from cylindrical notched test small specimens","volume":"64","author":"Ibrahim","year":"1999","journal-title":"Eng. Fract. Mech."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.polymertesting.2006.09.010","article-title":"Cyclic crack growth tests with CRB specimens for the evaluation of the long-term performance of PE pipe grades","volume":"26","author":"Pinter","year":"2007","journal-title":"Polym. Test."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/j.ast.2015.09.023","article-title":"Determination of fracture toughness and fatigue crack growth rate using circumferentially cracked round bar specimens of Al2014T651","volume":"47","author":"Neelakantha","year":"2015","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1016\/j.msea.2006.03.095","article-title":"Determination of crack growth rate and threshold for caustic cracking (KIscc) of a cast iron using small circumferential notched tensile (CNT) specimens","volume":"425","author":"Rihan","year":"2006","journal-title":"Mater. Sci. Eng. A"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"105998","DOI":"10.1016\/j.polymertesting.2019.105998","article-title":"Novel test system and test procedure for fatigue crack growth testing with cracked round bar (CRB) specimens","volume":"78","author":"Fischer","year":"2019","journal-title":"Polym. Test."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Sih, G.C. (1973). Method of Analysis and Solutions of Crack Problems, Noordhoft International Publishing.","DOI":"10.1007\/978-94-017-2260-5"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF00040876","article-title":"Convenient closed form stress intensity factors for common crack configurations","volume":"13","author":"Gray","year":"1977","journal-title":"Int. J. Fract."},{"key":"ref_11","unstructured":"Dieter, G.E. (1988). Mechanical Metallurgy, SI Edition, McGraw-Hill."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0142-1123(85)90007-6","article-title":"Stress intensity factors of sickle-shaped cracks in cylindrical bars","volume":"7","author":"Mattheck","year":"1985","journal-title":"Int. J. Fatigue"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2153","DOI":"10.1111\/ffe.12817","article-title":"Crack tip field in eccentric circumferentially cracked round bar (CCRB) under tensile loading","volume":"41","author":"Toribio","year":"2018","journal-title":"Fatigue Fract. Eng. Mater. Struct."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"L9","DOI":"10.1023\/A:1007623622121","article-title":"Eccentric circumferential cracks in cylindrical specimens","volume":"102","author":"Yngvesson","year":"2000","journal-title":"Int. J. Fract."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/s10704-010-9532-3","article-title":"Variation of the fatigue lifetime with the initial notch geometry of circular notched bar specimens","volume":"167","author":"Zhao","year":"2011","journal-title":"Int. J. 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Basic Eng."}],"container-title":["Materials"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1996-1944\/16\/4\/1728\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:36:53Z","timestamp":1760121413000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1996-1944\/16\/4\/1728"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,20]]},"references-count":18,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["ma16041728"],"URL":"https:\/\/doi.org\/10.3390\/ma16041728","relation":{},"ISSN":["1996-1944"],"issn-type":[{"value":"1996-1944","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,20]]}}}