Three-dimensional finite element analysis of shaping curved root canals with the ProTaper and HeroShaper systems

Finite element analysis of rotary nickel‐titanium endodontic instruments: A critical review of the methodology

“…(i) To compare the effects of geometrical differences of rotary endodontic instruments (ii) To observe the effects of varying metallurgy between different types of NiTi or other alloys (iii) To identify the forces generated during root canal shaping Cross-sectional design was the main parameter that was compared in terms of geometrical variances, with a multitude of shapes explored, [8,[12][13][14][15][16][17][18][19][20][21][22] but other parameters such as helix angle, [23] taper, [23] flute length, [23] rake angle, [24] and cross-sectional area [25] were considered in FEA studies. Theoretical modifications to existing proprietary endodontic instruments have also been made to examine the effects to its properties [25,26].…”

“…Three curvatures modelled with the above parameters: (i) 15°, 35.9 mm radius, (ii) 30°, 18 mm radius (iii) 45°, 12 mm radius 4 rotations Legrand et al, 2015 [44] Micro-CT of extracted human first maxillary molar at 30 μm resolution and translated with modelling software. Geometry of the canal with greatest curvature chosen for numerical simulations N/A Mutlu et al, 2015 [24] Micro-CT of extracted maxillary molar tooth and translated with MIMICS13 software. Modelled characteristics of dentine substrate.…”

Mechanical responses of maxillary canine and surrounding tissues under orthodontic loading: a non-linear three-dimensional finite element analysis

“…There are some studies which have related the stress distribution to the applied force based on the finite element (FE) method [22][23][24][25][26][27][28][29][30][31][32][33][34].…”

“…Rees [42] applied a 2-D elastic FEM for PDL in his investigation. Many of the researchers used elastic and linear model of PDL in their studies (Belli et al [43], Cai et al [44], Jones et al [1], Kim et al [30], Liao et al [45], Mutlu et al [33], Salehi et al [46], and Viecilli et al [47]).…”