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                     OCCLUSION AND TMJ
                     ANALYSIS OF STRESS GENERATED IN THE ENAMEL OF
 Original Articles
                     AN UPPER FIRST PREMOLAR: A FINITE ELEMENT STUDY
                     Andreea Stănuşi1a , Veronica Mercuţ1b , Monica Scrieciu1c , Sanda Mihaela Popescu2d ,
                     Monica Mihaela Iacov Crăiţoiu1e , Luminiţa Dăguci1f , Ştefan Castravete3g, Marina Olimpia Amărăscu1h
                     1
                      Department of Proshodontics, Faculty of Dentistry, University of Medicine and Pharmacy of Craiova, Craiova, Romania
                     2
                      Department of Oral Rehabilitation, Faculty of Dentistry, University of Medicine and Pharmacy of Craiova, Craiova, Romania
                     3
                      Caelynx Europe SRL, Craiova, Romania

                     a
                       DMD, PhD Student; e-mail: andreeacazan22@yahoo.com; ORCIDiD: https://orcid.org/0000-0003-2520-7967
                     b
                       DDS, PhD, Professor; e-mail: veronica.mercut@yahoo.com; ORCIDiD: https://orcid.org/0000-0003-3573-7128
                     c
                       DMD, PhD, Professor; e-mail: scrieciu_monica@yahoo.com; ORCIDiD: https://orcid.org/0000-0003-0696-7100
                     d
                       DMD, PhD, Professor; e-mail: sm_popescu@hotmail.com; ORCIDiD: https://orcid.org/0000-0003-3011-6322
                     e
                       DMD, PhD, Professor; e-mail: mcraitoiu@yahoo.com; ORCIDiD: https://orcid.org/0000-0003-4998-8198
                     f
                      DMD, PhD, Professor; e-mail: daguciluminita@yahoo.com; ORCIDiD: https://orcid.org/0000-0003-4327-2738
                     g
                       Eng; e-mail: scastravete@caelynx.ro
                     h
                       DMD, PhD; e-mail: marinaamarascu@yahoo.com; ORCIDiD: https://orcid.org/0000-0002-3394-1486

                     ABSTRACT                                                                                   https://doi.org/10.25241/stomaeduj.2020.7(1).art.4

                     Introduction This study investigated the distribution and magnitude of stress generated in the enamel
                     of an upper first premolar, after applying normal and excessive occlusal loads in a vertical and horizontal
                     direction, using Finite Element Analysis (FEA).
                     Methodology A 3D virtual model of an upper first premolar was analyzed. The CT images of the tooth were
                     converted into 3D data using the program MIMICS and Finite Element Analysis (FEA) was used for the stress
                     study. To better understand the distribution of stress generated by occlusal loading, the situation of the
                     enamel in various 3D virtual models was presented. 14 scenarios for the occlusal loading of the virtual
                     models of the upper first premolar were obtained and the areas with the highest concentration of stress
                     were emphasized.
                     Results In the model with the tooth intact, stress values were higher than the admissible ones in the
                     simulation of the excessive vertical loading, normal horizontal loading and excessive horizontal loading.
                     Stress was found in the buccal cusp area and in the cervical area, mainly on the buccal side of the tooth. In
                     the models with horizontal occlusal tooth wear, stress values were higher than the admissible ones in the
                     simulation of the excessive vertical loading. Stress was found in the cervical area. In the models with oblique
                     occlusal tooth wear, stress values were higher than the admissible ones in the simulation of the normal and
                     excessive horizontal loading. Stress was found mainly in cervical area, on the buccal side of the tooth.
                     Conclusions The most harmful loads were the heavy vertical ones and the horizontal ones, no matter the
                     magnitude.

                     KEYWORDS
                     Tooth Wear; Finite Element Analysis; Stress, Non-Carious Cervical Lesions.

                     1. INTRODUCTION                                                                    [3], and in an advanced stage they can determine
                                                                                                        endodontic pathology and even the fracture of
                     Non-carious cervical lesions involve the loss of hard                              the teeth involved [4]. Furthermore, non-carious
                     dental tissues in the cervical areas of the teeth,                                 cervical lesions are important because of their high
                     without carious activity [1,2]. These lesions are                                  prevalence (5-85%) [5]. Initially, the toothbrush/
                     important because, in a first stage, they can produce                              dentifrice abrasion was considered to be the cause
                     gingival retractions associated with teeth sensitivity                             for the loss of dental tissues in the cervical area, as

                                    OPEN ACCESS This is an Open Access article under the CC BY-NC 4.0 license.
                                    Peer-Reviewed Article
                         Citation: Stănuşi A, Mercuţ V, Scrieciu M, Popescu SM, Iacov Crăiţoiu MM, Dăguci L, Castravete Ş., Amărăscu MO. Analysis of stress generated in the enamel
                         of an upper first premolar: a finite element study. Stoma Edu J. 2020;7(1):28-34.
                         Received: February 20, 2020; Revised: February 26, 2020; Accepted: March 16, 2020; Published: March 18, 2020
                         *Corresponding author: Prof. Veronica Mercuţ; Prof. Sanda Mihaela Popescu, Faculty of Dentistry, University of Medicine and Pharmacy of Craiova
                         Craiova, Romania
                         Tel./Fax: +40/0251 - 524 442
                         e-mail: veronica.mercut@yahoo.com; e-mail: sm_popescu@hotmail.com
                         Copyright: © 2020 the Editorial Council for the Stomatology Edu Journal.




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Stress analysis in upper premolar enamel – FEA Study
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                                                                                                                                             Original Articles
 Table 1. Dental materials properties.

           Properties                           Enamel                     Dentin            Pulp             Periodontal ligament

Elastic Modulus of Young (GPa)                80.35[32-34]              19.89 [22,23]     0.002 [22]               0.069 [22,23]
         Poisson Ratio                        0.33[32-34]                0.31 [22,23]      0.45 [22]                0.45 [22,23]

 Table 2. Ultimate tensile and compressive strength of dental enamel.

         Ultimate Properties                             Enamel

        Tensile Strength (MPa)                              24 [8]
    Compressive Strength (MPa)                            62 [13]




                                                                                             Figure 1. Von Mises Stress in enamel:
                                                                                            a) intact premolar; b) horizontal tooth wear
                                                                                            version 1; c) horizontal tooth wear version 2.




                                                                                             Figure 2. Von Mises Stress in enamel:
                                                                                            a) intact premolar; b) horizontal tooth wear
                                                                                            version 1; c) horizontal tooth wear version 2.

stated by Zsigmondy in 1894 [6]. He described these                     the non-carious cervical lesions, away from that
lesions as being wedge-shaped and distributed                           point [12]. The effects of stress in teeth depend on
on the buccal surface of the upper frontal teeth.                       the magnitude, direction, frequency, point of force
In 1991, Grippo named the non-carious cervical                          application, but also on the axis of the teeth, their
lesions produced by the mechanism of occlusal                           form, structure and mobility [12,17].
loads as “abfraction lesions”, so that they could be                    The areas most affected by abfraction lesions are
easily differentiated from the erosion and abrasion                     located on the buccal surfaces of teeth, in the cervical
lesions [7]. Recently, a series of studies [7-16] claim                 zone, with the highest prevalence amongst upper
that many factors are involved in the genesis of                        and lower premolars [8,15,16,18]. Initially, abfraction
non-carious cervical lesions: heavy occlusal loads,                     lesions appear at the enamel-cement junction in the
biocorrosion, and abrasion.                                             enamel structure, as a result of reduced thickness of
These factors could be encountered individually                         enamel in that area, the absence of enamel rods and
or in association. It was suggested that heavy                          low frequency of Hunter Schreger Bands [19].
occlusal loads from mastication, swallowing and                         The aim of this study was to investigate the
parafunctional movements determine tooth flexure                        distribution and magnitude of stress generated
and high stress concentration in the cervical area                      by normal and heavy occlusal loads, which were
with the development of enamel cracks. In 2012                          directed vertically and horizontally in the enamel of
Grippo et al. described the mechanism via which                         an upper first premolar, using Finite Element Analysis
heavy occlusal loads generate stress in the cervical                    (FEA) and the virtual model from a previous study
area [12].                                                              [20]. Finite Element Analysis (FEA) is a numerical
Depending on the direction of forces, in the tooth                      procedure used in dentistry for the simulation of
structure there appear forces of compression,                           various clinical situations, in order to study the
tension, flexion and shear, all known as stress, which                  distribution of stress in the tooth structure and the
generate fatigue at the enamel-dentine junction                         restorative materials, as a result of occlusal loading
at the point of force application, and in the case of                   [21].



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                     Stănuşi A. et al.
www.stomaeduj.com


 Original Articles
                                                                                                       Figure 3. Tensile stress in enamel: a) intact
                                                                                                     premolar; b) lateral tooth wear version 1; c)
                                                                                                     lateral tooth wear version 2; d) lateral tooth
                                                                                                     wear version 3.




                                                                                                      Figure 4. Compressive stress in enamel: a)
                                                                                                     intact premolar; b) lateral tooth wear version
                                                                                                     1; c) lateral tooth wear version 2; d) lateral
                                                                                                     tooth wear version 3.

                     2. MATERIAL AND METHODS                                     normal horizontal load (F=180 N) and an excessive
                                                                                 horizontal load (F=532 N) [35] were applied on the
                     The 3D virtual model of the upper first premolar was        virtual model with the intact premolar and on the
                     made using the CT images of a 14 year-old patient           three models with oblique occlusal tooth wear,
                     [20]. The CT images were converted into 3D data             there resulting eight scenarios for the horizontal
                     using the MIMICS program (Materialise NV, Leuven,           occlusal loading. The study was approved by the
                     Belgium, 1992) and the 3D virtual model obtained            Ethics Committee of the Faculty of Dental Medicine
                     was analysed using Finite Element Analysis (FEA)            of University of Medicine and Pharmacy of Craiova
                     and the Abaqus/CAE program (ABAQUS Software,                (no. 257/12.10.2019). An informed consent for using
                     S.A.R.L., Versailles, France, 1994). The 3D virtual model   the CT was obtained from the patient.
                     consisted of all the tissues of the given premolar:
                     enamel, dentine, pulp and periodontal ligament. The         3. RESULTS
                     alveolar bone was reconstructed as a parallelepiped,
                     to which the tooth was not rigidly fixed, and between       In the simulations with horizontal occlusal tooth
                     these two structures the periodontal ligament               wear the Von Mises Stress, which is a combination
                     was simulated. The finite element model was a 3D            of compressive, tensile and shear stress, the
                     model with tetrahedral elements resulting in 47548          compressive stress was dominant. In the simulations
                     elements and 68504 nodes. The average size of an            with oblique occlusal tooth wear, the dominant
                     element was approximately 0.5 mm per surface.               stress was both compressive (Min Principal Stress,
                     For the elastic modulus of Young and Poisson’s ratio        the maximum values are negative) and tensile (Max
                     of the dental tissues, data from the literature were        Principal Stress, the maximum values are negative).
                     used as shown in Table 1. The values obtained for the
                     tensions generated in enamel were compared to the           a - Simulation of normal vertical load, F=180 N
                     ultimate values of tensile and compressive strength         In the simulation of a normal vertical loading
                     for enamel used in other studies (Table 2) [8,13].          (F=180 N), in the model with the intact premolar, a
                     To better understand the distribution of stress             compressive stress higher than 62 MPa, located in
                     generated by occlusal loading, the situation of             the superficial layer of enamel, at the buccal cusp
                     enamel in various 3D virtual models was presented.          was observed (Fig. 1a). In the models with horizontal
                     A virtual model of the upper first premolar with no         occlusal tooth wear, the values of compressive stress
                     lesion was used to create five more models with             were lower. The highest ones were found in the
                     different degrees of occlusal tooth wear. T                 palatal cervical area, but they did not exceed 62MPa
                     he occlusal tooth wear models used in this study            (Fig. 1 b, c).
                     represent simulations of some clinical conditions
                     encountered in clinical practice as a consequence           b - Simulation of excessive vertical load, F=532 N
                     of the occlusal load in static mandibular position          In the simulation of an excessive vertical loading
                     (occlusal horizontal tooth wear) - 2 models, and            (F=532 N), in all models, the compressive stress was
                     the occlusal load in lateral movements of the jaw           higher than 62 MPa (Fig. 2 a, b, c), the maximum
                     (oblique occlusal tooth wear) -3 models. Using these        value being found in the model with the intact
                     models, various scenarios emerged for the occlusal          premolar (Fig. 2a). Regarding the distribution of the
                     loading applied as a flat surface of a block, in a          compressive stress in enamel, in the model with the
                     vertical and horizontal direction. A normal vertical        intact premolar, it was located at the buccal cusp
                     load (F=180 N) and an excessive vertical load (F=532        affecting the whole enamel layer and in the cervical
                     N) [24] were applied on the virtual model with              area (Fig. 2a). In the models with horizontal occlusal
                     the intact premolar and on the two models with              tooth wear, the maximum values for the compressive
                     horizontal occlusal tooth wear, there resulting six         stress were located in the cervical area of the enamel
                     scenarios for the vertical occlusal loading. Also, a        (Fig. 2 b, c).



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                                                                                                                                    Original Articles
                                                                                    Figure 5. Tensile stress in enamel: a) intact
                                                                                  premolar; b) lateral tooth wear version 1; c)
                                                                                  lateral tooth wear version 2; d) lateral tooth
                                                                                  wear version 3.




                                                                                   Figure 6. Compressive stress in enamel: a)
                                                                                  intact premolar; b) lateral tooth wear version
                                                                                  1; c) lateral tooth wear version 2; d) lateral
                                                                                  tooth wear version 3.

c - Simulation of normal horizontal load, F=180 N            occlusal tooth wear, the stress values were higher
In the simulation of normal horizontal loading               than the admissible ones in the simulation of the
(F=180 N), in the model with the intact premolar, the        normal and excessive horizontal loading. The stress
tensile stress (Max Principal Stress) exceeded 24 MPa        was found mainly in cervical area, on the buccal
in the occlusal area and in the cervical lingual distal      side of the tooth. The most harmful forces were the
area (Fig. 3a). In the models with oblique occlusal          excessive vertical ones and the horizontal ones, no
tooth wear, the highest values for the tensile stress        matter the magnitude.
were found at the palatal cusp (Fig. 3 b, c, d).             4. DISCUSSIONS
The values for the compressive stress generated
exceeded 62 MPa in the buccal cervical area and in the       This study aimed to analyse the distribution and
occlusal area in the model with the intact premolar          magnitude of stress generated by normal (F=180
(Fig. 4a). In the models with oblique occlusal tooth         N) and excessive (F=532 N) occlusal loads, directed
wear, these small values for the compressive stress          vertically and horizontally. The stress obtained repre-
were found at the palatal cusp and in the cervical           sents the effect of the cumulative action of the
palate-distal area (Fig. 4 b, c, d).                         compressive and tensile stress in the dental tissues.
                                                             For this study, a 3D virtual model of an upper first
d - Simulation of excessive horizontal load, F=532 N         premolar was used. Clinical experience and data from
In the simulation of an excessive horizontal loading         the literature [8,16,18] showed that the upper first
(F=532 N) in the model with the intact premolar, the         premolar had a great susceptibility towards abfra-
tensile stress (Max Principal Stress) exceeded 24 MPa        ction lesions. Meanwhile, its form and the way the
in the occlusal area and in the cervical disto- linguo-      occlusal forces are distributed in its structure make
mesial area (Fig. 5a). In the models with oblique            it liable for fractures. For the conversion of the CT
occlusal tooth wear, these high values for the tensile       images into 3D data the MIMICS program (Materialise
stress were found in the occlusal and palatal area           NV, Leuven, Belgium, 1992) was used as it was used in
and less in the cervical area (Fig. 5 b, c, d). The values   prior studies [20, 25-27]. For the stress analysis Finite
for the compressive stress (Min Principal Stress)            Element Analysis (FEA) was applied as it was used in
generated exceeded 62 MPa in the occlusal area and           prior studies [28-39]. A similar study was performed
in the cervical buccal area in the model with the intact     by Lee et al. in 2002 [8], also using the Finite Element
premolar (Fig. 6a). In the models with oblique occlusal      Analysis (FEA) in which a normal vertical force (F=170
tooth wear, these small values for the compressive           N) was applied at the buccal cusp of an upper second
stress were found in the occlusal and palatal area,          premolar. The highest value of the tensile stress was
towards the distal part of the tooth (Fig. 6 b, c, d).       observed in the cervical area, namely 13.55 MPa [8].
14 scenarios for the occlusal loading of the virtual         In our study, for the normal vertical force of 180 N,
models of the upper first premolar were obtained             the values for the Von Mises Stress in the cervical
and the areas with the highest concentration of              area were around 10-15 MPa. The results of our
stress were enhanced. In the model with the tooth            study are similar to those found by Lee et al in their
intact, the stress values were higher than the admi-         study in 2002 [8]. In both studies the value of the
ssible ones in the simulation of the excessive vertical      tensile stress obtained in the cervical area was lower
loading, normal horizontal loading and exce-                 than the admissible one. In 2003, Rees and Jagger
ssive horizontal loading. Stress was found in the            [5] performed a study using the Finite Element
buccal cusp area and in the cervical area, mainly            Analysis (FEA) in order to find an explanation for
on the buccal side of the tooth. In the models with          the high prevalence of non-carious cervical lesions
horizontal occlusal tooth wear, the stress values were       in maxillary teeth. In that study they used three 2D
higher than the admissible ones in the simulation of         models, representing an upper incisive, upper canine
the excessive vertical loading. The stress was found         and upper premolar and through the Finite Element
in the cervical area. In the models with oblique             Analysis (FEA) recorded the magnitude of stress in



Stoma Edu J. 2020;7(1): 28-34                                               pISSN 2360-2406; eISSN 2502-0285                           31
                     Stănuşi A. et al.
www.stomaeduj.com



                     the cervical area, obtained after applying a force of                    between bruxism and non-carious cervical lesions
 Original Articles   500 N. In the case of the upper premolar, force was                      [42]. In 2017, Duangthip et al. [47] performed a
                     applied at the buccal cusp and angulated 45 degrees                      review to search for correlations between excessive
                     in a buccal and apical direction. They recorded the                      occlusal loads and abfraction lesions and found such
                     tensile stress and compared the values obtained on                       an association in 81% of cases.
                     the buccal surfaces with the ones obtained on the
                     palatal surfaces. The values obtained were similar.                      5. CONCLUSIONS
                     Our study had results in accordance with the results
                     obtained in the Rees and Jagger study. However,                          This study showed the distribution and magnitude
                     practice has proven that abfraction lesions were                         of stress obtained in the virtual 3D model of an upper
                     rarely found on the palatal surfaces of the teeth                        first premolar, after applying normal and excessive,
                     [5] and this phenomenon could be correlated with                         vertical and horizontal forces. The most harmful
                     stress corrosion, meaning that the association                           forces were the excessive vertical ones and the
                     between stress and acidic substances cause more                          horizontal ones, no matter the magnitude. Regarding
                     lesions than if these factors act alone. Acidic                          the tooth morphology, the least favourable models
                     substances are removed by saliva from the palatal                        for the distribution of stress were the ones with the
                     surfaces of teeth 6 times more rapidly than the ones                     intact premolar and with lateral tooth wear.
                     located on the buccal surfaces [5]. Furthermore, the                     In current practice, these situations are found in the
                     enamel affected by demineralization can regain its                       case of occlusal interferences, parafunctions and
                     mechanical resistance as a result of the action of                       bruxism.
                     different substances and even saliva [14]. Clinically,
                     these excessive forces or the ones with a horizontal                     CONFLICT OF INTEREST
                     direction can be identified in the case of occlusal
                     interferences [39-41], any other clinical situation                      The authors declare no conflict of interest.
                     that modifies occlusion, such as parafunctions,
                     bruxism [42,43] and treatment procedures [44,45].                        AUTHOR CONTRIBUTIONS
                     Other studies have tried to find evidence for the                        AS, VM: Concept, protocol, manuscript writing;
                     causal relationship between occlusion and non-                           MS, SMP, MMIC, LD, AMO: Manuscript writing, critical review of
                     carious cervical lesions [41,46]. In these studies,                      manuscript; SC: concept, data entry, data analysis, critical review
                     the presence of non-carious cervical lesions was                         of manuscript.
                     associated with the presence of occlusal wear                            ACKNOWLEDGMENTS
                     facets. If excessive occlusal forces can cause non-
                     carious cervical lesions, it would be expected that                      Acknowledge        persons     who     have    made      substan-
                     parafunctional habits such as bruxism and clenching                      tive contributions to the study. Specify grant or other
                                                                                              financial support, citing the name of the supporting organization
                     would increase the progression of non-carious                            and grant number.
                     cervical lesions. Two studies reported a correlation


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Stoma Edu J. 2020;7(1): 28-34                                                              pISSN 2360-2406; eISSN 2502-0285                         33
                     Stănuşi A. et al.
www.stomaeduj.com


 Original Articles                                                                                    Andreea STĂNUŞI
                                                                          DMD, PhD Student, Prosthodontic Medical Resident
                                                                                              Department of Proshodontics
                                                                                                        Faculty of Dentistry
                                                                            University of Medicine and Pharmacy of Craiova
                                                                                                          Craiova, Romania

                     CV
                     Andreea Stănuşi (DOB: September 22, 1992) graduated from the Faculty of Dentistry, University of Medicine and Pharmacy
                     of Craiova in 2017 and became Medical Resident in Prosthodontics. As a student, she held various positions: President of the
                     Craiova Stomatology Students Society (2013-2014), Member of the Faculty Council (2016-2017), Member of the University
                     Senate (2016-2017). As a postgraduate her activity is still connected with the academic life. In 2017 she became a PhD student
                     under the guidance of University Professor Veronica Mercuț, her research interest being the etiology and treatment of tooth
                     wear. In 2019 she published the results of an experiment in which the stress involved in the etiology of tooth wear was
                     examined (“Effects of occlusal loads in the genesis of non-carious cervical lesions – a Finite Element Study”).




                     Questions
                     1. Non-carious cervical lesions can produce in a first stage:
                     qa. endodontic pathology;
                     qb. gingival retractions associated with teeth sensitivity;
                     qc. fracture of the teeth involved;
                     qd. periodontal pockets.

                     2. The areas most affected by abfraction lesions are located on:
                     qa. enhanced thickness of enamel in that area;
                     qb. reduced thickness of dentine in that area;
                     qc. the high frequency of Hunter Schreger Bands;
                     qd. the low frequency of Hunter Schreger Bands.

                     3. Abfraction lesions appear at the enamel-cement junction in the enamel structure, as a
                     result of:
                     qa. less than 20% in the three groups with no statistical difference among groups;
                     qb. over 10% in the three groups with no statistical difference among groups;
                     qc. over 80% in the three groups with no statistical difference among groups;
                     qd. less than 10% in the three groups with no statistical difference among groups.

                     4. The excessive forces or the ones with a horizontal direction involved in the etiology of
                     NCCL, can be identified in the following clinical situations apart from:
                     qa.occlusal interferences;
                     qb. parafunctions;
                     qc. bruxism;
                     qd. procedures that do not modify occlusion.




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