Influence of dental restorations and mastication loadings on dentine fatigue behaviour: Image-based modelling approach.

OBJECTIVES The aim of this study was to use Finite Element Analysis (FEA) to estimate the influence of various mastication loads and different tooth treatments (composite restoration and endodontic treatment) on dentine fatigue. The analysis of fatigue behaviour of human dentine in intact and composite restored teeth with root-canal-treatment using FEA and fatigue theory was performed. METHODS Dentine fatigue behaviour was analysed in three virtual models: intact, composite-restored and endodontically-treated tooth. Volumetric change during the polymerization of composite was modelled by thermal expansion in a heat transfer analysis. Low and high shrinkage stresses were obtained by varying the linear shrinkage of composite. Mastication forces were applied occlusally with the load of 100, 150 and 200N. Assuming one million cycles, Fatigue Failure Index (FFI) was determined using Goodman's criterion while residual fatigue lifetime assessment was performed using Paris-power law. RESULTS The analysis of the Goodman diagram gave both maximal allowed crack size and maximal number of cycles for the given stress ratio. The size of cracks was measured on virtual models. For the given conditions, fatigue-failure is not likely to happen neither in the intact tooth nor in treated teeth with low shrinkage stress. In the cases of high shrinkage stress, crack length was much larger than the maximal allowed crack and failure occurred with 150 and 200N loads. The maximal allowed crack size was slightly lower in the tooth with root canal treatment which induced somewhat higher FFI than in the case of tooth with only composite restoration. CONCLUSIONS Main factors that lead to dentine fatigue are levels of occlusal load and polymerization stress. However, root canal treatment has small influence on dentine fatigue. CLINICAL SIGNIFICANCE The methodology proposed in this study provides a new insight into the fatigue behaviour of teeth after dental treatments. Furthermore, it estimates maximal allowed crack size and maximal number of cycles for a specific case.

[1]  H. Maia,et al.  Fatigue resistance and crack propensity of large MOD composite resin restorations: direct versus CAD/CAM inlays. , 2013, Dental materials : official publication of the Academy of Dental Materials.

[2]  D. Arola,et al.  Fatigue of the resin-dentin interface: a new approach for evaluating the durability of dentin bonds. , 2013, Dental materials : official publication of the Academy of Dental Materials.

[3]  P. Ausiello,et al.  Numerical fatigue 3D-FE modeling of indirect composite-restored posterior teeth. , 2011, Dental materials : official publication of the Academy of Dental Materials.

[4]  D. Arola,et al.  Age, dehydration and fatigue crack growth in dentin. , 2006, Biomaterials.

[5]  D. Arola,et al.  Stress ratio contributes to fatigue crack growth in dentin. , 2005, Journal of biomedical materials research. Part A.

[6]  C H Gibbs,et al.  Occlusal forces during chewing and swallowing as measured by sound transmission. , 1981, The Journal of prosthetic dentistry.

[7]  V. Baelum.  Dentistry and population approaches for preventing dental diseases. , 2011, Journal of dentistry.

[8]  Swee Hin Teoh,et al.  Fatigue of biomaterials: a review , 2000 .

[9]  R. DeLong,et al.  An artificial oral environment for testing dental materials , 1991, IEEE Transactions on Biomedical Engineering.

[10]  R. Ritchie,et al.  On the in vitro Fatigue Behavior of Human Dentin: Effect of Mean Stress , 2004, Journal of dental research.

[11]  Nenad Filipovic,et al.  Computer methods for follow-up study of hemodynamic and disease progression in the stented coronary artery by fusing IVUS and X-ray angiography , 2014, Medical & Biological Engineering & Computing.

[12]  D. J. Anderson.  Measurement of Stress in Mastication. II , 1956, Journal of dental research.

[13]  A. Kishen.  Mechanisms and risk factors for fracture predilection in endodontically treated teeth , 2006 .

[14]  R O Ritchie,et al.  Fatigue of mineralized tissues: cortical bone and dentin. , 2008, Journal of the mechanical behavior of biomedical materials.

[15]  R. D. Wood,et al.  Optimisation of the superplastic forming of a dental implant for bone augmentation using finite element simulations. , 2004, Dental materials : official publication of the Academy of Dental Materials.

[16]  Terry Yuan-Fang Chen,et al.  Contraction behaviors of dental composite restorations--finite element investigation with DIC validation. , 2011, Journal of the mechanical behavior of biomedical materials.

[17]  D. Arola,et al.  FATIGUE OF BIOMATERIALS: HARD TISSUES. , 2010, International journal of fatigue.

[18]  Beata Dejak,et al.  3D-Finite element analysis of molars restored with endocrowns and posts during masticatory simulation. , 2013, Dental materials : official publication of the Academy of Dental Materials.

[19]  D. Arola,et al.  The influence of simultaneous mechanical and thermal loads on the stress distribution in molars with amalgam restorations , 2000, Journal of materials science. Materials in medicine.

[20]  Luca Giachetti,et al.  A review of polymerization shrinkage stress: current techniques for posterior direct resin restorations. , 2006, The journal of contemporary dental practice.

[21]  R. G. Lima,et al.  A method to investigate the shrinkage stress developed by resin-composites bonded to a single flat surface. , 2012, Dental materials : official publication of the Academy of Dental Materials.

[22]  P. Magne.  Virtual prototyping of adhesively restored, endodontically treated molars. , 2010, The Journal of prosthetic dentistry.

[23]  R. Bedi,et al.  Dental Restorations: How long do routine dental restorations last? A systematic review , 1999, British Dental Journal.

[24]  J. Abbink,et al.  Oral physiology and mastication , 2006, Physiology & Behavior.

[25]  R. Ritchie.  Mechanisms of fatigue-crack propagation in ductile and brittle solids , 1999 .

[26]  W. Palin,et al.  Experimental and FE displacement and polymerization stress of bonded restorations as a function of the C-Factor, volume and substrate stiffness. , 2014, Journal of dentistry.

[27]  F. Burke,et al.  Tooth fracture in vivo and in vitro. , 1992, Journal of dentistry.

[28]  Marcelo Giannini,et al.  Ultimate tensile strength of tooth structures. , 2004, Dental materials : official publication of the Academy of Dental Materials.

[29]  N. Kojic,et al.  Computer Modeling in Bioengineering: Theoretical Background, Examples and Software , 2008 .

[30]  J. Palamara,et al.  Effect of root canal size and external root surface morphology on fracture susceptibility and pattern: a finite element analysis. , 2005, Journal of endodontics.

[31]  Gordana R. Jovicic,et al.  Mechanical weakening of devitalized teeth: three-dimensional Finite Element Analysis and prediction of tooth fracture. , 2015, International endodontic journal.

[32]  J. Ferracane,et al.  Polymerization stresses in low-shrinkage dental resin composites measured by crack analysis. , 2012, Dental materials : official publication of the Academy of Dental Materials.

[33]  Nenad Filipovic,et al.  Computational Assessment of Stent Durability Using Fatigue to Fracture Approach , 2014 .

[34]  R O Ritchie,et al.  Mechanistic aspects of in vitro fatigue-crack growth in dentin. , 2005, Biomaterials.

[35]  M. Djuric,et al.  Nano-structural and compositional basis of devitalized tooth fragility. , 2014, Dental materials : official publication of the Academy of Dental Materials.

[36]  A. Kotousov,et al.  Effect of material properties of composite restoration on the strength of the restoration-dentine interface due to polymerization shrinkage, thermal and occlusal loading. , 2007, Medical engineering & physics.

[37]  T. Chen,et al.  Modeling dental composite shrinkage by digital image correlation and finite element methods , 2014 .

[38]  Larissa Maria Cavalcante,et al.  Shrinkage Stresses Generated during Resin-Composite Applications: A Review , 2009, Journal of dental biomechanics.

[39]  Chang-Hung Huang,et al.  Finite element analysis of the dental implant using a topology optimization method. , 2012, Medical engineering & physics.

[40]  Pedro Henrique Corazza,et al.  Influence of convergence angle of tooth preparation on the fracture resistance of Y-TZP-based all-ceramic restorations. , 2013, Dental materials : official publication of the Academy of Dental Materials.

[41]  J. Cooper,et al.  Structural optimization of dental restorations using the principle of adaptive growth. , 2006, Dental materials : official publication of the Academy of Dental Materials.

[42]  Hyung‐Il Kim,et al.  Evaluation of polymerization of light-curing hybrid composite resins. , 2006, Journal of biomedical materials research. Part B, Applied biomaterials.

[43]  John Goodman,et al.  Mechanics applied to engineering , 1904 .

[44]  Tao Li,et al.  Biomechanical optimization of the diameter of distraction screw in distraction implant by three-dimensional finite element analysis , 2013, Comput. Biol. Medicine.

[45]  A. Culyer.  Encyclopedia of health economics , 2014 .

[46]  Bin Li,et al.  A Procedure for Fast Evaluation of High-Cycle Fatigue Under Multiaxial Random Loading , 2002 .

[47]  Pascal Magne,et al.  In vitro fatigue resistance of CAD/CAM composite resin and ceramic posterior occlusal veneers. , 2010, The Journal of prosthetic dentistry.

[48]  K. Bathe.  Finite Element Procedures , 1995 .

[49]  David C Watts,et al.  Finite element analysis of bonded model Class I 'restorations' after shrinkage. , 2012, Dental materials : official publication of the Academy of Dental Materials.

[50]  Wei-rong Tang,et al.  Identifying and reducing risks for potential fractures in endodontically treated teeth. , 2010, Journal of endodontics.

[51]  R O Ritchie,et al.  In vitro fatigue behavior of human dentin with implications for life prediction. , 2003, Journal of biomedical materials research. Part A.

[52]  P. C. Paris,et al.  A Critical Analysis of Crack Propagation Laws , 1963 .

[53]  K. Bathe,et al.  Inelastic Analysis of Solids and Structures , 2004 .

[54]  N. Wakabayashi,et al.  Finite element contact analysis as a critical technique in dental biomechanics: a review. , 2014, Journal of prosthodontic research.