School of Dental Medicine, University of Zagreb, Croatian Dental Society - Croatian Medical Association
Abstract
Metoda konačnih elemenata pokazala se uspješnom u raščlambi prijenosa sila i naprezanja u biološkim sustavima. Svrha ovoga istraživanja bila je utvrditi razlike u distribuciji naprezanja i deformacija, ovisno o različitoj razini uporabe jednostavne vodoravne oralno usmjerene sile na labijalnu plohu zuba na matematičkom modelu zuba s pripadajućim potpornim strukturama napravljenom s pomoću metode konačnih elemenata. Kao predložak za izradbu modela poslužio je gornji očnjak izvađen iz parodontoloških razloga. Dobiven je trodimenzionalni model koji se sastoji od 4000 elemenata oblika heksaedra i 2367 čvorova, što čini ukupno 7101 stupanj slobode. Na model je upotrebljena vodoravna oralno usmjerena sila jakosti 1 N na pet različitih razina krune zuba, okomito na njegovu uzdužnu os. Za sva uporabljena opterećenja promatrana je deformacija, intenzitet naprezanja, te su izračunana ekvivalentna naprezanja po energetskoj teoriji čvrstoće (Huber- Mises- Hencky teorija).The method of finite elements has proved to be successful for analysis of the transmission of forces and stress in biological systems. The aim of this investigation was to determine differences in the distribution of stress and deformation, depending on different levels of application of simple horizontal orally directed forces on the labial surface of the tooth using a mathematical model of the tooth, with equivalent supportive structures, constructed means of the finite element method. An upper canine, extracted for periodontal reasons, was used as a pattern for construction of the model. A three-dimensional model was obtained consisting of 4000 elements in the shape of a hexahedron and 2367 nodes, totalling 7101 grades of freedom. Horizontal orally directed 1 N force, was applied to the model on five different levels of the tooth crown, vertically on its longitudinal axis. Deformation and stress intensity were observed for all the applied forces and equivalent stress calculated, according to the energetic theory of strength (Huber-Mises- Hencky theory)
