{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,4]],"date-time":"2026-08-04T16:32:51Z","timestamp":1785861171407,"version":"3.56.0"},"reference-count":40,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,6,30]],"date-time":"2023-06-30T00:00:00Z","timestamp":1688083200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"China Scholarship Council (CSC)"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Bioengineering"],"abstract":"<jats:p>A known complication for mechanically loaded bone implants is the instability due to screw loosening, resulting in infection and the non-union of fractures. To investigate and eventually prevent such bone degradation, it is useful to know the stress state in the bone around the screw. Considering only in-plane loadings and simplifying the mandibular bone into an orthotropic laminated plate, the analysis was reduced to a two-dimensional pin-loaded plate problem. An analytic model, based on the complex stress analysis, was introduced to the bone biomechanics field to obtain the stress distributions around the screw hole in the bone. The dimensionless normalized stresses were found to be relatively insensitive to the locations of the screw hole over the mandible. Parametric analyses were carried out regarding the friction coefficient and load direction. It was found that the load direction had a negligible influence. On the contrary, the friction coefficient had a significant effect on the stress distributions. Whether the screw was well bonded or not thus played an important role. The proposed analytic model could potentially be used to study bone failure together with stress-based failure criteria.<\/jats:p>","DOI":"10.3390\/bioengineering10070786","type":"journal-article","created":{"date-parts":[[2023,7,3]],"date-time":"2023-07-03T01:03:02Z","timestamp":1688346182000},"page":"786","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane Loading"],"prefix":"10.3390","volume":"10","author":[{"given":"Jinxing","family":"Huo","sequence":"first","affiliation":[{"name":"Division of Applied Mechanics, Department of Materials Science and Engineering, Uppsala Univeristy, Box 35, SE-751 03 Uppsala, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1060-7757","authenticated-orcid":false,"given":"Jan-Micha\u00e9l","family":"Hirsch","sequence":"additional","affiliation":[{"name":"Department of Surgical Sciences, Oral & Maxillofacial Surgery, Uppsala University, SE-751 85 Uppsala, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"E. Kristofer","family":"Gamstedt","sequence":"additional","affiliation":[{"name":"Division of Applied Mechanics, Department of Materials Science and Engineering, Uppsala Univeristy, Box 35, SE-751 03 Uppsala, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1097\/00003086-199603000-00036","article-title":"The Rationales of Interlocking Nailing of the Femur, Tibia, and Humerus: An overview","volume":"324","author":"Brumback","year":"1996","journal-title":"Clin. Orthop. Relat. Res."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1097\/00007632-199801150-00006","article-title":"The Significance of Hardware Failure in Anterior Cervical Plate Fixation. 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