Finite element analysis in dentistry

The constant pursuit of the scientific invention, R&D and adaption of cutting edge technology is an essential component of a world-view that changes the realities on how we live and survive today. The adaptation of new technology is growing tremendously in all fields including medicine and dentistry. It is getting more advanced day by day replacing all sort manual and tedious process in Dentistry creating a happy smile in a short time. Finte element analysis involves a series of computational procedures to calculate the stress in each element, which performs a model solution. Such a structural analysis allows the determination of stress resulting from external force, pressure, thermal change, and other factors. It is useful for indicating the mechanical aspects of biomaterials and human tissues which are difficult to be measured and analyzed in-vivo moreover it could consume a undefined timeliness. The results which are obtained can be studied using software where we can visualize within the FEM environment at variety of parameters and to identify the implications of finite element analysis. Analysis of stress of dental structures has been a topic of interest in the recent years with an objective of determining stresses in the dental structures and improvement of the mechanical strength of these structures. The present paper is on basic concept, applications and limitations of finite element method (FEM) in dentistry.

[1]  Christoph Bourauel,et al.  Determination of the Elasticity Parameters of the Human Periodontal Ligament and the Location of the Center of Resistance of Single-rooted Teeth A Study of Autopsy Specimens and Their Conversion into Finite Element Models , 2002, Journal of Orofacial Orthopedics / Fortschritte der Kieferorthopädie.

[2]  G. Pelosi The finite-element method, Part I: R. L. Courant [Historical Corner] , 2007, IEEE Antennas & Propagation Magazine.

[3]  D. Hendrick,et al.  Introduction , 1998, Thorax.

[4]  A. Polson Interrelationship of inflammation and tooth mobility (trauma) in pathogenesis of periodontal disease. , 1980, Journal of clinical periodontology.

[5]  U Belser,et al.  A Nonlinear Elastic Model of the Periodontal Ligament and its Numerical Calibration for the Study of Tooth Mobility , 2002, Computer methods in biomechanics and biomedical engineering.

[6]  Edgard Poiate,et al.  Three-dimensional stress distribution in the human periodontal ligament in masticatory, parafunctional, and trauma loads: finite element analysis. , 2009, Journal of periodontology.

[7]  Paul Brunton,et al.  Non-carious cervical tooth surface loss: a literature review. , 2008, Journal of dentistry.

[8]  L A Lang,et al.  The effects of dowel design and load direction on dowel-and-core restorations. , 2001, The Journal of prosthetic dentistry.

[9]  C J Burstone,et al.  Three-dimensional finite element analysis for stress in the periodontal tissue by orthodontic forces. , 1987, American journal of orthodontics and dentofacial orthopedics : official publication of the American Association of Orthodontists, its constituent societies, and the American Board of Orthodontics.

[10]  Heinrich Müller,et al.  Improved Laplacian Smoothing of Noisy Surface Meshes , 1999, Comput. Graph. Forum.

[11]  A Asundi,et al.  Experimental studies on the nature of property gradients in the human dentine. , 2000, Journal of biomedical materials research.

[12]  Cornelia Kober,et al.  Correspondences of hydrostatic pressure in periodontal ligament with regions of root resorption: A clinical and a finite element study of the same human teeth , 2009, Comput. Methods Programs Biomed..

[13]  M. E. Gher Non-surgical pocket therapy: dental occlusion. , 1996, Annals of periodontology.

[14]  James Laney Williams,et al.  Anisotropic elasticity of cortical and cancellous bone in the posterior mandible increases peri-implant stress and strain under oblique loading. , 2001, Clinical oral implants research.

[15]  R. G. Craig Restorative dental materials , 1971 .

[16]  Luiz Carlos Pereira,et al.  Finite Element Analysis in 2D and 3D Models for Sound and Restored Teeth , 2006 .

[17]  J Knox,et al.  An evaluation of the biomechanical response of the tooth and periodontium to orthodontic forces in adolescent and adult subjects. , 1998, British journal of orthodontics.

[18]  K. An,et al.  Finite element analysis of effect of prosthesis height, angle of force application, and implant offset on supporting bone. , 2004, The International journal of oral & maxillofacial implants.

[19]  Myoungsu Shin,et al.  Practical Finite Element Analysis , 2008 .

[20]  B Melsen,et al.  Material parameters and stress profiles within the periodontal ligament. , 1991, American journal of orthodontics and dentofacial orthopedics : official publication of the American Association of Orthodontists, its constituent societies, and the American Board of Orthodontics.

[21]  M J Tyas,et al.  Strain patterns in cervical enamel of teeth subjected to occlusal loading. , 2000, Dental materials : official publication of the Academy of Dental Materials.

[22]  Y. Pao,et al.  Periodontal ligament stresses in the initiation of occlusal traumatism. , 1984, Journal of periodontal research.

[23]  Christof Holberg,et al.  Finite element analysis of mono- and bicortical mini-implant stability. , 2014, European journal of orthodontics.

[24]  J. Rees,et al.  Undermining of enamel as a mechanism of abfraction lesion formation: a finite element study. , 2004, European journal of oral sciences.

[25]  K Tanne,et al.  The nature of human craniofacial growth studied with finite element analytical approach. , 2001, Clinical orthodontics and research.

[26]  N. Noda,et al.  Three-dimensional finite element modeling from CT images of tooth and its validation. , 2009, Dental materials journal.

[27]  J. Z. Zhu,et al.  The finite element method , 1977 .

[28]  J Middleton,et al.  A validated finite element method study of orthodontic tooth movement in the human subject. , 2001, Journal of orthodontics.

[29]  M Azarbal,et al.  Three-dimensional finite element stress analysis of a cantilever fixed partial denture. , 1992, The Journal of prosthetic dentistry.

[30]  H S Yang,et al.  A two-dimensional stress analysis comparing fixed prosthodontic approaches to the tilted molar abutment. , 1991, The International journal of prosthodontics.

[31]  R. Thresher,et al.  The stress analysis of human teeth. , 1973, Journal of biomechanics.

[32]  M. Toparli,et al.  Analysis of a restored maxillary second premolar tooth by using three-dimensional finite element method. , 1999, Journal of oral rehabilitation.

[33]  J. H. Argyris,et al.  Energy theorems and structural analysis , 1960 .

[34]  Allahyar Geramy,et al.  Abfraction: 3D analysis by means of the finite element method. , 2003, Quintessence international.

[35]  A Versluis,et al.  Changes in compaction stress distributions in roots resulting from canal preparation. , 2006, International endodontic journal.

[36]  P. Turley,et al.  Three-dimensional finite element analysis of stress in the periodontal ligament of the maxillary first molar with simulated bone loss. , 2001, American journal of orthodontics and dentofacial orthopedics : official publication of the American Association of Orthodontists, its constituent societies, and the American Board of Orthodontics.

[37]  L. Borchers,et al.  Three-dimensional Stress Distribution Around a Dental Implant at Different Stages of Interface Development , 1983, Journal of dental research.

[38]  I. Babuska,et al.  GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE , 2004 .

[39]  E Y Chao,et al.  A survey of finite element analysis in orthopedic biomechanics: the first decade. , 1983, Journal of biomechanics.