title: Influence of implant length and diameter on stress distribution: a finite element analysis.
abstract: BACKGROUND
  Masticatory forces acting on dental implants can result in undesirable stress in adjacent bone, which in turn can cause bone defects and the eventual failure of implants.
  
  
  OBJECTIVE
  A mathematical simulation of stress distribution around implants was used to determine which length and diameter of implants would be best to dissipate stress.
  
  
  METHODS
  Computations of stress arising in the implant bed were made with finite element analysis, using 3-dimensional computer models. The models simulated implants placed in vertical positions in the molar region of the mandible. A model simulating an implant with a diameter of 3.6 mm and lengths of 8 mm, 10 mm, 12 mm, 14 mm, 16 mm, 17 mm, and 18 mm was developed to investigate the influence of the length factor. The influence of different diameters was modeled using implants with a length of 12 mm and diameters of 2.9 mm, 3.6 mm, 4.2 mm, 5.0 mm, 5.5 mm, 6.0 mm, and 6.5 mm. The masticatory load was simulated using an average masticatory force in a natural direction, oblique to the occlusal plane. Values of von Mises equivalent stress at the implant-bone interface were computed using the finite element analysis for all variations. Values for the 3 most stressed elements of each variation were averaged and expressed in percent of values computed for reference (100%), which was the stress magnitude for the implant with a length of 12 mm and diameter of 3.6 mm.
  
  
  RESULTS
  Maximum stress areas were located around the implant neck. The decrease in stress was the greatest (31.5%) for implants with a diameter ranging from of 3.6 mm to 4.2 mm. Further stress reduction for the 5.0-mm implant was only 16.4%. An increase in the implant length also led to a decrease in the maximum von Mises equivalent stress values; the influence of implant length, however, was not as pronounced as that of implant diameter.
  
  
  CONCLUSIONS
  Within the limitations of this study, an increase in the implant diameter decreased the maximum von Mises equivalent stress around the implant neck more than an increase in the implant length, as a result of a more favorable distribution of the simulated masticatory forces applied in this study.
authors.affiliation: Institute of Dental Research and Czech Technical University, Prague, Czech Republic. himmlova@seznam.cz
authors.forename: Lucie
authors.initials: L
authors.lastname: Himmlová
authors.forename: Tat'jana
authors.initials: T
authors.lastname: Dostálová
authors.forename: Alois
authors.initials: A
authors.lastname: Kácovský
authors.forename: Svatava
authors.initials: S
authors.lastname: Konvicková
mesh_terms: D000539:Alveolar Process / Q000503:physiopathology; D001732:Bite Force; D003198:Computer Simulation; D015921:Dental Implants; D017267:Dental Prosthesis Design; D019232:Dental Restoration Failure; D020342:Finite Element Analysis; D006801:Humans; D008334:Mandible / Q000503:physiopathology*; D008954:Models, Biological; D008963:Molar; D012044:Regression Analysis; D013314:Stress, Mechanical; D013499:Surface Properties; D020390:Tooth Socket / Q000503:physiopathology
chemical_list: D015921:Dental Implants