{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T03:26:30Z","timestamp":1784258790477,"version":"3.55.0"},"reference-count":41,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2022,8,21]],"date-time":"2022-08-21T00:00:00Z","timestamp":1661040000000},"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":["52178218"],"award-info":[{"award-number":["52178218"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51908271"],"award-info":[{"award-number":["51908271"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52150710542"],"award-info":[{"award-number":["52150710542"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2019M651655"],"award-info":[{"award-number":["2019M651655"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["52178218"],"award-info":[{"award-number":["52178218"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["51908271"],"award-info":[{"award-number":["51908271"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["52150710542"],"award-info":[{"award-number":["52150710542"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2019M651655"],"award-info":[{"award-number":["2019M651655"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Center for Computational Science and Engineering at the Southern University of Science and Technology","award":["52178218"],"award-info":[{"award-number":["52178218"]}]},{"name":"Center for Computational Science and Engineering at the Southern University of Science and Technology","award":["51908271"],"award-info":[{"award-number":["51908271"]}]},{"name":"Center for Computational Science and Engineering at the Southern University of Science and Technology","award":["52150710542"],"award-info":[{"award-number":["52150710542"]}]},{"name":"Center for Computational Science and Engineering at the Southern University of Science and Technology","award":["2019M651655"],"award-info":[{"award-number":["2019M651655"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>A prestressed concrete cylinder pipe (PCCP) consists of a concrete core, a steel cylinder, prestressing wires, and a mortar coating. Most PCCP failures are related to the breakage of prestressing wires. It is thus expected that the load-bearing capacity of PCCP is significantly affected by the length of the prestress loss zone and the stress distribution in the broken wire. Based on a tri-linear bond-slip model, the length of prestress loss zone and the stress transfer mechanism between a broken wire and a mortar coating are analysed in this paper. During the breaking (unloading) process of a prestressing wire, the interfacial bondline exhibits the following three stages: elastic stage, elastic-softening stage, and elastic-softening-debonding stage. The closed-form solutions for the interfacial slip, the interfacial shear stress, and the axial stress in the broken wire are derived for each stage. The solutions are verified by the finite element predictions. A parametric study is presented to investigate the effects of the size of the prestressing wires, the prestressing level, the interfacial shear strength, and the residual interfacial shear strength on the interfacial stress transfer. For an example PCCP with an inner diameter of 4 m, the length of prestress loss zone increases from 500 mm to 3300 mm as the radius of prestressing wire increases from 1 mm to 7 mm. It increases from 2700 mm to 7700 mm when the interfacial shear strength reduces from 3.94 MPa to 0.62 MPa and reduces from 13,200 mm to 7300 mm as the residual interfacial shear stress factor increases from 0.1 to 0.9.<\/jats:p>","DOI":"10.3390\/ma15165779","type":"journal-article","created":{"date-parts":[[2022,8,21]],"date-time":"2022-08-21T23:51:01Z","timestamp":1661125861000},"page":"5779","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["An Analytical Solution for Stress Transfer between a Broken Prestressing Wire and Mortar Coating in PCCP"],"prefix":"10.3390","volume":"15","author":[{"given":"Xiaojie","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Astronautics, Harbin Institute of Technology, Harbin 150001, China"},{"name":"Department of Ocean Science and Engineering, Southern University of Science and Technology, Shenzhen 518000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6360-857X","authenticated-orcid":false,"given":"Jiayu","family":"Wu","sequence":"additional","affiliation":[{"name":"Department of Ocean Science and Engineering, Southern University of Science and Technology, Shenzhen 518000, China"},{"name":"Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou), Guangzhou 511485, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chao","family":"Hou","sequence":"additional","affiliation":[{"name":"Department of Ocean Science and Engineering, Southern University of Science and Technology, Shenzhen 518000, China"},{"name":"Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou), Guangzhou 511485, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0501-3797","authenticated-orcid":false,"given":"Jian-Fei","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Ocean Science and Engineering, Southern University of Science and Technology, Shenzhen 518000, China"},{"name":"Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou), Guangzhou 511485, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,21]]},"reference":[{"key":"ref_1","unstructured":"(2014). 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