BIOMECHANICAL STATE IN THE PROCESS STRESS RELAXATION JAW BONE WHEN INSTALLING IMPLANTS
DOI:
https://doi.org/10.20535/2305-9001.2016.77.79137Keywords:
bone implants, jaw simulation model, numerical experiment biomechanical system, stress relaxation, generalized Maxwell modelAbstract
The current study presents the results stress relaxation of the jaw bone in the human implant treatment, aiming to determine the strength limit values for of biological tissues and the maximum moment values for tightening clamps. The strength and mechanical strength of the jaw bone is estimated with the use of mathematical modeling as when installing implants and over time from 1s to 3000s of postoperative state of cortical and spongy tissues. The novelty of considered task is to determine the individual inhomogeneous field stress relaxation by using simulation models anterior mandible with cortical bone thickness from 1mm to 3mm setting on example of two-threaded implant. Experimental data of stress relaxation and strength models of damaged in human jaw bone applied and theoretical studies of stress and fracture zones in the surrounding area of tooth-implant. The identified regularities allow to prove the moment limit values for tightening implants and improve the quality of practical implementation of controlled process of installation for different types of bones of the jaw. The tissue model of fractured jaw bone taken as heterogeneous isotropic material. Numerical simulations of jaw bones stress relaxation were made using Maxwell viscoelastic model. For the boundary value problem the necessary equations, boundary and initial conditions are considered.References
Prendergast, P. (1997), “Finite element models in tissue mechanics and orthopaedic implant design”, Clin. Biomech, vol. 12, no. 6. pp. 343–366.
Malanchuk, V.O., Kryshhuk, M.G. and Kopchak, A.V. (2013), Imitacijne komp'yuterne modelyuvannya v shhelepoly`cevij xirurgiy, [Simulation computer modeling in maxillofacial surgery], “Askania” publishing house, Kiev, Ukraine.
Van der Meulen, M. (2002), “Huiskes R. Why mechanobiology? A survey article”, J. Biomech, vol. 35, no. 4. pp. 401–414.
Wolff, J. (1892), “Das Gesetz der Transformation der Knochen”, Berlin: Verlag von August Hirschwald.
Malanchuk, V.O. (2010), “Experimental study of stress relaxation process in the bone of the lower jaw”, Journal of dentistry, no. 2, pp. 90 – 96.
Available at: http://www.autodesk.com/products/inventor-publisher/overview
Available at: http://biomedical.materialise.com
Available at: http://www.ansys.com/ ANSYS - Simulation Driven Product Development.
Il'jushin A.A. (1970), “Osnovy matematicheskoj teorii termovjazkouprugosti”, Nauka, Moscow, Russia.
Available at: http://www.splav-kharkov.com/mat_start.php?name_id=1298