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A previously published mathematical model of BR is used in this work to study the homogenized structural evolution of peri-implant bone. This model is used to study the influence of the diameter and length of a dental implant of pure titanium on its long-term stability. The temporal evolution of porosity and microstructural damage of the peri-implant bone are the variables analysed in this study. The results show that damage and porosity increase as the implant length decreases and, more pronouncedly, as its diameter decreases. The increase in damage and porosity levels is localized, as many other studies confirm, at the implant neck due to the stress concentration that is created in that area. The main conclusion of this study is that in implants with a diameter equal to or greater than 3\u2009mm the damage is under control and there is no mechanical failure of the peri-implant bone in the long term.<\/jats:p>","DOI":"10.1177\/0954411911410165","type":"journal-article","created":{"date-parts":[[2011,6,16]],"date-time":"2011-06-16T01:20:57Z","timestamp":1308187257000},"page":"897-906","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":15,"title":["Numerical simulation of bone remodelling around dental implants"],"prefix":"10.1177","volume":"225","author":[{"given":"J","family":"Ojeda","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, University of Seville, Seville, Spain."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J","family":"Mart\u00ednez-Reina","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, University of Seville, Seville, Spain."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J M","family":"Garc\u00eda-Aznar","sequence":"additional","affiliation":[{"name":"Group of Structural Mechanics and Material Modelling, Aragon Institute of Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J","family":"Dom\u00ednguez","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, University of Seville, Seville, Spain."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M","family":"Doblar\u00e9","sequence":"additional","affiliation":[{"name":"Group of Structural Mechanics and Material Modelling, Aragon Institute of Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2011,6,15]]},"reference":[{"key":"bibr1-0954411911410165","first-page":"49","volume":"3","author":"Parr G. 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