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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Dent. Med.</journal-id>
<journal-title>Frontiers in Dental Medicine</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Dent. Med.</abbrev-journal-title>
<issn pub-type="epub">2673-4915</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fdmed.2025.1636746</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Dental Medicine</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Cyclic fatigue resistance of a blue heat-treated engine-driven file with different angles of canal access using different kinematics; an <italic>in vitro</italic> study</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author"><name><surname>Eid</surname><given-names>Bassem</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/3144809/overview"/><role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/><role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/><role content-type="https://credit.niso.org/contributor-roles/investigation/"/><role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/></contrib>
<contrib contrib-type="author"><name><surname>Kataia</surname><given-names>Mohammed</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref><role content-type="https://credit.niso.org/contributor-roles/methodology/"/><role content-type="https://credit.niso.org/contributor-roles/data-curation/"/><role content-type="https://credit.niso.org/contributor-roles/investigation/"/><role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/></contrib>
<contrib contrib-type="author" corresp="yes"><name><surname>Elsewify</surname><given-names>Tarek</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x002A;</xref><uri xlink:href="https://loop.frontiersin.org/people/1324868/overview" /><role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/><role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/><role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/><role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/></contrib>
</contrib-group>
<aff id="aff1"><label><sup>1</sup></label><institution>Restorative Dental Science Department, College of Dentistry, Gulf Medical University</institution>, <addr-line>Ajman</addr-line>, <country>United Arab Emirates</country></aff>
<aff id="aff2"><label><sup>2</sup></label><institution>College of Dentistry and Health Sciences, Fujairah University</institution>, <addr-line>Fujairah</addr-line>, <country>United Arab Emirates</country></aff>
<aff id="aff3"><label><sup>3</sup></label><institution>Restorative Dental Science Department, College of Dentistry, Gulf Medical University</institution>, <addr-line>Ajman</addr-line>, <country>United Arab Emirates</country></aff>
<aff id="aff4"><label><sup>4</sup></label><institution>Endodontic Department, Faculty of Dentistry, Ain Shams University</institution>, <addr-line>Cairo</addr-line>, <country>Egypt</country></aff>
<author-notes>
<fn fn-type="edited-by"><p><bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2014074/overview">Ajinkya M. Pawar</ext-link>, Nair Hospital Dental College, India</p></fn>
<fn fn-type="edited-by"><p><bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2731417/overview">Takashi Okiji</ext-link>, Tokyo Medical and Dental University, Japan</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3092351/overview">Marwa Sharaan</ext-link>, Suez Canal University, Egypt</p></fn>
<corresp id="cor1"><label>&#x002A;</label><bold>Correspondence:</bold> Tarek Elsewify <email>tarek_elsewefy@dent.asu.edu.eg</email></corresp>
</author-notes>
<pub-date pub-type="epub"><day>26</day><month>08</month><year>2025</year></pub-date>
<pub-date pub-type="collection"><year>2025</year></pub-date>
<volume>6</volume><elocation-id>1636746</elocation-id>
<history>
<date date-type="received"><day>28</day><month>05</month><year>2025</year></date>
<date date-type="accepted"><day>01</day><month>08</month><year>2025</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2025 Eid, Kataia and Elsewify.</copyright-statement>
<copyright-year>2025</copyright-year><copyright-holder>Eid, Kataia and Elsewify</copyright-holder><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><sec><title>Objectives</title>
<p>To evaluate the effect of angle of access and kinematics on the dynamic cyclic fatigue resistance of E3 Azure rotary NiTi files at body temperature.</p>
</sec><sec><title>Methods</title>
<p>Eighty E3 Azure files, 25/06, were randomly divided into two equal groups according to the kinematics used, rotation, and reciprocation. Each group was further divided into two equal subgroups (<italic>n</italic>&#x2009;&#x003D;&#x2009;20) according to the angle of file access, zero degrees and 30 degrees. The files were placed in custom-made stainless-steel canals and operated using the manufacturer&#x0027;s recommendations for speed, torque, and angle of reciprocation settings till fracture. The time to fracture and the fracture length were measured. Statistical analysis was performed at a significance of 0.05.</p>
</sec><sec><title>Results</title>
<p>Samples instrumented using reciprocation motion had significantly higher time to fracture than those with continuous rotation (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). Samples with zero-degree access angle had significantly higher time to fracture than those with 30&#x00B0; (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001).</p>
</sec><sec><title>Conclusion</title>
<p>The motion and the angle of file access significantly influence the cyclic fatigue resistance of E3 Azure files. Reciprocation motion and a smaller angle of access improve the fatigue resistance of E3 Azure files.</p>
</sec><sec><title>Clinical relevance</title>
<p>Reciprocation motion and establishment of straight-line access enhance the safety and efficiency of E3 Azure files.</p>
</sec>
</abstract>
<kwd-group>
<kwd>angle of access</kwd>
<kwd>dynamic cyclic fatigue</kwd>
<kwd>E3 azure</kwd>
<kwd>rotation</kwd>
<kwd>reciprocation</kwd>
<kwd>time to fracture</kwd>
</kwd-group><counts>
<fig-count count="1"/>
<table-count count="3"/><equation-count count="0"/><ref-count count="24"/><page-count count="6"/><word-count count="0"/></counts><custom-meta-wrap><custom-meta><meta-name>section-at-acceptance</meta-name><meta-value>Endodontics</meta-value></custom-meta></custom-meta-wrap>
</article-meta>
</front>
<body><sec id="s1" sec-type="intro"><title>Introduction</title>
<p>The modified conservative access cavities have been the scope of interest for all bio-minimalistic researchers since 2018 (<xref ref-type="bibr" rid="B1">1</xref>). Minimally invasive endodontic treatment aims to preserve as much of the natural tooth structure as possible while ensuring effective debridement and disinfection of the root canal system. The contracted access cavity is a key component of minimally invasive endodontics, characterized by a conservative access design that minimizes removal of pericervical dentin and maintains the structural integrity of the tooth. The problem with contracted cavities is that they place the file under high stress due to the absence of a straight path for the enlarging tool into the canal (<xref ref-type="bibr" rid="B2">2</xref>).</p>
<p>Recent heat-treated files having higher cyclic fatigue resistance have been developed (<xref ref-type="bibr" rid="B3">3</xref>). Among these instruments, the E3 Azure files (Endostar, Zielonka, Poland), characterized by their unique design and material properties, have garnered attention for their performance and durability (<xref ref-type="bibr" rid="B4">4</xref>). The Endostar E3 Azure is an advanced endodontic system designed using Azure HT Technology, a specialized heat-treatment manufacturing process. This innovative technology enhances the flexibility and fracture resistance of the files, making them highly reliable even in complex clinical cases. The Azure HT Technology process alters the crystal structure of nickel-titanium files, enabling the transformation from martensite to austenite to occur near body temperature. The E3 Azure features a modified S-shaped cross-section, which reduces the file&#x0027;s core size to enhance debris removal and improve flexibility. It also incorporates a variable pitch, neutral rake angle, and a safe cutting tip for optimal performance (<xref ref-type="bibr" rid="B5">5</xref>).</p>
<p>In addition, recent kinematics were proposed as an alternative for continuous rotation and allowed increased time to failure for the instrument (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>). The reciprocating motion refers to the use of alternating clockwise and counterclockwise movements during root canal instrumentation. This motion reduces torsional stress on the file and the risk of instrument separation, especially in curved or narrow canals. The reciprocation motion has been tested through a lot of different factors and compared to rotational cutting motions in multiple aspects (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B10">10</xref>).</p>
<p>The manufacturer&#x0027;s recommendation for the E3 Azure file is the use in a full rotation motion, a reciprocation motion, or a complex motion, which is comparable to the adaptive motion proposed earlier by Kerr for the TF adaptive file system. The file design, specifically, the neutral rake angle, allows for the use of this file in variable motions (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B10">10</xref>).</p>
<p>The angle of file access into the root canal plays a crucial role in determining the cyclic fatigue resistance of endodontic instruments (<xref ref-type="bibr" rid="B11">11</xref>). When a file enters the canal at a sharp angle, it is subjected to increased flexural stress, particularly at the point of maximum curvature. This repeated stress accumulation accelerates crack initiation and propagation within the metal structure, ultimately reducing the file&#x0027;s lifespan and increasing the risk of separation. Therefore, maintaining an optimal file access angle through proper access cavity design and glide path preparation is essential in prolonging instrument longevity and ensuring efficient root canal shaping (<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B12">12</xref>).</p>
<p>The 0&#x00B0; and 30&#x00B0; angles of file access are representative of conventional and contracted endodontic access cavities, respectively, because they simulate the straight-line path of an instrument entering the canal through differently designed access outlines. A 0&#x00B0; angle reflects the file being inserted along the long axis of the tooth, which is typically feasible in conventional access cavities due to total removal of the roof of the pulp chamber and a straight-line access to the apical foramen or the initial canal curvature. In contrast, a 30&#x00B0; angle mimics the angulated approach required in contracted and conservative access cavities, which necessitates an indirect or more oblique entry point due to preservation of the coronal dentine and lack of straight-line access to the canal (<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B12">12</xref>).</p>
<p>However, the combined effect of access cavity angulation and kinematics on the dynamic cyclic fatigue resistance of recently introduced heat-treated NiTi files, such as E3 Azure, has not yet been investigated. Furthermore, most available studies do not simulate clinically relevant conditions, such as dynamic movement (<xref ref-type="bibr" rid="B9">9</xref>) and body temperature (<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B12">12</xref>), limiting their applicability and clinical relevance.</p>
<p>Therefore, this study aims to assess the influence of angled canal access on file separation, along with the impact of different cutting motions. The null hypothesis states that there is no significant difference in the time to file separation between full rotation and reciprocation motions when the access angle is either 0&#x00B0; or 30&#x00B0;.</p>
</sec>
<sec id="s2" sec-type="methods"><title>Materials and methods</title>
<sec id="s2a"><title>Ethical approval</title>
<p>The research proposal was revised and approved by the institutional review board, Gulf Medical University, Ajman, UAE, IRB-COD-FAC-49-Oct-2024.</p>
</sec>
<sec id="s2b"><title>Sample size calculation</title>
<p>A power analysis was performed based on the results obtained by La Rosa et al. (<xref ref-type="bibr" rid="B13">13</xref>) who evaluated the effect of access angle and temperature on the cyclic fatigue resistance using the G-power program 3.1.9.4 by adopting an alpha error of 0.05, power of 0.8, and an effect size of 1.02. The predicted sample size was found to be 80 (<italic>n</italic>&#x2009;&#x003D;&#x2009;20).</p>
</sec>
<sec id="s2c"><title>Sample grouping</title>
<p>The samples (<italic>n</italic>&#x2009;&#x003D;&#x2009;80) were divided into two main groups (each <italic>n</italic>&#x2009;&#x003D;&#x2009;40),</p>
<p>Group I: instruments were used in continuous rotation motion.</p>
<p>Group II: instruments were used in reciprocation motion.</p>
<p>Each group was further subdivided into 2 subgroups:</p>
<p>Subgroup I A: where the instrument operated with an access angle of 0<sup>o</sup> (<xref ref-type="fig" rid="F1">Figure&#x00A0;1a</xref>).</p>
<fig id="F1" position="float"><label>Figure 1</label>
<caption><p>Dynamic cyclic fatigue testing for E3 azure file <bold>(a)</bold> access angle of 0&#x00B0;; <bold>(b)</bold> access angle of 30&#x00B0;; <bold>(c)</bold> frontal view of the testing device; <bold>(d)</bold> cyclic fatigue testing device in water bath at body temperature.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fdmed-06-1636746-g001.tif"><alt-text content-type="machine-generated">Four images labeled a to d. Image a and b show close-ups of liquid dripping from a metallic instrument with a coiled wire beneath. Image c presents a mechanical frame with adjustable components. Image d depicts the same frame submerged in water, with digital meters on the side displaying numbers.</alt-text>
</graphic>
</fig>
<p>Subgroup I B: where the instrument operated with an access angle of 30<sup>o</sup> (<xref ref-type="fig" rid="F1">Figure&#x00A0;1b</xref>).</p>
</sec>
<sec id="s2d"><title>Dynamic cyclic fatigue testing</title>
<p>A total of 80 E3 Azure heat-treated NiTi files, 25/06, were randomly divided into 4 equal groups (<italic>n</italic>&#x2009;&#x003D;&#x2009;20) using a random sequence generated by Microsoft Excel. All the files were inspected using the dental operating microscope (Global Surgical Corporation, Saint Louis, MO, USA) after unboxing to confirm the absence of any defects. Time-to-fracture was tested in a dynamic motion at body temperature using a dynamic cyclic fatigue testing device, which has been used and explained previously (<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>). The device consisted of a custom-fabricated linear actuator mounted on a specially designed frame that secured both the handpiece and the artificial canal. A custom code regulated the vertical movement 1.5&#x2005;mm upward over 0.5&#x2005;s and 1.5&#x2005;mm downward over another 0.5&#x2005;s (<xref ref-type="bibr" rid="B15">15</xref>).</p>
<p>The same methodology was adopted to maintain the body temperature by performing the testing in a water bath. The dynamic motion was created by a 3&#x2005;mm vertical motion at a one Hertz frequency till file separation occurred. The time-to-fracture was measured in seconds using a digital stopwatch, and the fractured segment was measured in millimeters using a digital caliper.</p>
<p>Two custom-made artificial stainless-steel canals were designed using AutoCAD software (Autodesk, San Francisco, California, USA), with a tip diameter of 0.25&#x2005;mm and a taper of 6&#x0025;, incorporating a 0.1&#x2005;mm circumferential relief. The canals measured 16&#x2005;mm in length. Both canals showed the same angle and radius of curvature of 60 degrees and 3&#x2005;mm; yet they differ only in the angle of access, being zero degrees and 30 degrees, as clearly shown in <xref ref-type="fig" rid="F1">Figure&#x00A0;1</xref> (<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>). Stainless steel blocks were milled using a milling machine following the design.</p>
<p>The instruments were used in accordance with the manufacturer&#x0027;s recommendations, using E-Connect S endodontic motor (Eighteeth, Jiangsu Province, China). In the rotational mode group, the instruments were operated at a speed of 300&#x2005;rpm with a torque of 3 N/cm, while the reciprocation group instruments were operated with a clockwise angle of rotation of 120 degrees and 30 degrees counterclockwise rotation.</p>
</sec>
<sec id="s2e"><title>Statistical analysis</title>
<p>Numerical data were presented as mean and standard deviation (SD) values. They were tested for normality and variance homogeneity by viewing distribution and using Shapiro&#x2013;Wilk&#x0027;s and Levene&#x0027;s tests, respectively. The data were normally distributed with homogenous variances across different variables. They were analyzed using a two-way ANOVA test. The comparisons of simple effects were made using the error term of the two-way model. <italic>P</italic>-values were adjusted for multiple comparisons using the False Discovery Rate (FDR) method. The significance level was set at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 within all tests. Statistical analysis was performed with R statistical analysis software version 4.4.1 for Windows (R Development Core Team, Auckland, New Zealand).</p>
</sec>
</sec>
<sec id="s3" sec-type="results"><title>Results</title>
<p>The two-way ANOVA results presented in <xref ref-type="table" rid="T1">Table&#x00A0;1</xref> showed that there was a significant interaction between both tested variables (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). The simple effects comparisons presented in <xref ref-type="table" rid="T2">Table&#x00A0;2</xref> showed that regardless of access angle, samples instrumented using reciprocation motion had significantly higher time to fracture than those with continuous rotation (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). Additionally, regardless of rotation motion, samples with zero-degree access angle had significantly higher time to fracture than those with 30&#x00B0; (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). Mean and standard deviation values for the fracture-segment length were statistically not significant, as presented in <xref ref-type="table" rid="T3">Table&#x00A0;3</xref>.</p>
<table-wrap id="T1" position="float"><label>Table 1</label>
<caption><p>Two-way ANOVA results for multiple comparisons.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Source</th>
<th valign="top" align="center">Sum of squares (III)</th>
<th valign="top" align="center">df</th>
<th valign="top" align="center">Mean square</th>
<th valign="top" align="center">f-value</th>
<th valign="top" align="center"><italic>p</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Rotation</td>
<td valign="top" align="center">289,595.31</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">289,595.31</td>
<td valign="top" align="center">7,007.22</td>
<td valign="top" align="center">&#x003C;0.001<xref ref-type="table-fn" rid="table-fn2">&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left">Angle of entry</td>
<td valign="top" align="center">1,136,869.81</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1,136,869.81</td>
<td valign="top" align="center">27,508.38</td>
<td valign="top" align="center">&#x003C;0.001<xref ref-type="table-fn" rid="table-fn2">&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left">Rotation<xref ref-type="table-fn" rid="table-fn2">&#x002A;</xref> angle</td>
<td valign="top" align="center">6,310.13</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">6,310.13</td>
<td valign="top" align="center">152.68</td>
<td valign="top" align="center">&#x003C;0.001<xref ref-type="table-fn" rid="table-fn2">&#x002A;</xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn1"><p>df degree of freedom.</p></fn>
<fn id="table-fn2"><label>&#x002A;</label>
<p>Significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05).</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T2" position="float"><label>Table 2</label>
<caption><p>Simple effects comparisons of the kinematic and angle of file access.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left" rowspan="2">Angle of entry</th>
<th valign="top" align="center" colspan="2">Time to fracture (seconds) (Mean&#x2009;&#x00B1;&#x2009;SD)</th>
<th valign="top" align="center" rowspan="2">f-value</th>
<th valign="top" align="center" rowspan="2"><italic>p</italic>-value</th>
</tr>
<tr>
<th valign="top" align="center">Continuous rotation</th>
<th valign="top" align="center">Reciprocation</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">0&#x00B0;</td>
<td valign="top" align="center">548.98&#x2009;&#x00B1;&#x2009;6.19</td>
<td valign="top" align="center">719.15&#x2009;&#x00B1;&#x2009;5.80</td>
<td valign="top" align="center">7,007.22</td>
<td valign="top" align="center">&#x003C;0.001<xref ref-type="table-fn" rid="table-fn3">&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left">30&#x00B0;</td>
<td valign="top" align="center">211.80&#x2009;&#x00B1;&#x2009;5.72</td>
<td valign="top" align="center">346.45&#x2009;&#x00B1;&#x2009;7.78</td>
<td valign="top" align="center">4,386.99</td>
<td valign="top" align="center">&#x003C;0.001<xref ref-type="table-fn" rid="table-fn3">&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left">f-value</td>
<td valign="top" align="center">27,508.38</td>
<td valign="top" align="center">33,610.35</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>p</italic>-value</td>
<td valign="top" align="center">&#x003C;0.001<xref ref-type="table-fn" rid="table-fn3">&#x002A;</xref></td>
<td valign="top" align="center">&#x003C;0.001<xref ref-type="table-fn" rid="table-fn3">&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn3"><label>&#x002A;</label>
<p>Significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05).</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T3" position="float"><label>Table 3</label>
<caption><p>Simple effects comparisons of the fracture-segment length.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left" rowspan="2">Angle of 
entry</th>
<th valign="top" align="center" colspan="2">Fracture-segment length (mm) (Mean&#x2009;&#x00B1;&#x2009;SD)</th>
<th valign="top" align="center" rowspan="2"><italic>p</italic>-value</th>
</tr>
<tr>
<th valign="top" align="center">Continuous rotation</th>
<th valign="top" align="center">Reciprocation</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">0&#x00B0;</td>
<td valign="top" align="center">3.312&#x2009;&#x00B1;&#x2009;0.04142</td>
<td valign="top" align="center">3.3075&#x2009;&#x00B1;&#x2009;0.04856</td>
<td valign="top" align="center"><italic>p</italic>&#x2009;&#x003D;&#x2009;0.98745</td>
</tr>
<tr>
<td valign="top" align="left">30&#x00B0;</td>
<td valign="top" align="center">3.3045&#x2009;&#x00B1;&#x2009;0.04641</td>
<td valign="top" align="center">3.315&#x2009;&#x00B1;&#x2009;0.030248</td>
<td valign="top" align="center"><italic>p</italic>&#x2009;&#x003D;&#x2009;0.86748</td>
</tr>
<tr>
<td valign="top" align="left"><italic>p</italic>-value</td>
<td valign="top" align="center"><italic>p</italic>&#x2009;&#x003D;&#x2009;0.94610</td>
<td valign="top" align="center"><italic>p</italic>&#x2009;&#x003D;&#x2009;0.94610</td>
<td valign="top" align="center"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4" sec-type="discussion"><title>Discussion</title>
<p>Several factors contribute to file fracture; however, cyclic fatigue has been identified as a major cause, particularly when instruments are used in curved root canals (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B17">17</xref>). Dynamic cyclic fatigue testing, despite its limitations in replicating the full complexity of clinical conditions, remains one of the most reliable and standardized methods for evaluating the fatigue resistance of endodontic files (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B19">19</xref>). Unlike static models, dynamic testing incorporates axial movements that closely mimic the clinical pecking motion, resulting in more realistic stress distribution along the instrument (<xref ref-type="bibr" rid="B18">18</xref>). This approach allows for controlled and reproducible comparisons between instruments, motions, and access designs, while isolating variables such as file design, kinematics, and access angle. In the present study, a custom-made stainless steel artificial canal with a 60&#x00B0; curvature and 3&#x2005;mm radius was used to simulate clinical conditions (<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B11">11</xref>). The dynamic model better replicates intracanal stresses by distributing them along the file shaft, rather than concentrating stress at a single point, as observed in static models (<xref ref-type="bibr" rid="B20">20</xref>).</p>
<p>The temperature changes significantly influence the cyclic fatigue resistance of heat-treated endodontic NiTi files. An increase in temperature promotes phase transformation to a more austenitic form, which reduces cyclic fatigue resistance and accelerates microcrack propagation (<xref ref-type="bibr" rid="B21">21</xref>, <xref ref-type="bibr" rid="B22">22</xref>). The test was conducted at body temperature to most accurately replicate clinical conditions.</p>
<p>Endodontic files entering the canals at steeper angles, the stress concentration at the point of maximum curvature significantly increases, leading to a higher incidence of instrument fracture. For instance, studies utilizing artificial canals and simulated clinical conditions have reported that files subjected to greater access angle experience a marked reduction in the number of cycles to failure compared to those with a more aligned entry path (<xref ref-type="bibr" rid="B6">6</xref>).</p>
<p>This study evaluated the effects of kinematics and access angle on the cyclic fatigue resistance of blue heat-treated NiTi files in simulated root canals. The methodology was validated by the nonsignificant difference in fractured segment lengths across all groups (f-ratio&#x2009;&#x003D;&#x2009;0.23414), with fractures consistently occurring at the canal curvature, confirming cyclic fatigue as the failure mode. As all files fractured in a predictable and uniform manner, and since only one file system (E3 Azure) was tested without variation in design or metallurgy, scanning electron microscopy was not performed, as it would not have provided additional insights (<xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B19">19</xref>).</p>
<p>The results of this study demonstrated that both the angle of access and the type of motion significantly influence the dynamic cyclic fatigue resistance of blue heat-treated NiTi files; therefore, the null hypothesis tested was rejected.</p>
<p>Reciprocating motion demonstrated significantly longer time to fracture than continuous rotation, likely due to its alternating movement, which allows periodic stress release and reduces crack initiation and propagation. The unequal forward and reverse angles in reciprocation help minimize continuous tension and compression cycles, delaying fatigue failure. In contrast, continuous rotation imposes constant stress at the same points, accelerating crack development. This finding supports previous studies reporting enhanced cyclic fatigue resistance with reciprocation due to stress relief from rotational reversal (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B23">23</xref>). However, some studies found no significant difference, possibly due to variations in file design (<xref ref-type="bibr" rid="B9">9</xref>), or modifications in the reciprocation motion (<xref ref-type="bibr" rid="B24">24</xref>).</p>
<p>In addition, the results of this study showed that the access angle affected cyclic fatigue resistance, as the files with a zero-access angulation showed significant resistance to cyclic fatigue in comparison with the 30&#x00B0; access angle. This could be attributed to the minimal magnitude of flexural stress imposed on the file. When the file enters straight into the canal without angulation, the distribution of cyclic stress is more uniform along its length, reducing the likelihood of localized stress concentration. In contrast, a 30-degree access angle introduces additional bending forces, increasing strain at specific points along the file, particularly at the curvature, which accelerates crack initiation and propagation. This increased mechanical stress leads to faster fatigue failure, reducing the instrument&#x0027;s lifespan (<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B11">11</xref>).</p>
<p>The findings of this study align closely with those of Assaf et al. (<xref ref-type="bibr" rid="B5">5</xref>), who also studied E3 Azure files in comparison to OneCurve files in full rotational motion. Their study demonstrated that a smaller curvature angle and a more coronal curvature position enhanced the fatigue resistance of the tested nickel-titanium rotary files.</p>
<p>Pedull&#x00E0; et al. (<xref ref-type="bibr" rid="B12">12</xref>) results align with our results evaluating the cyclic fatigue resistance of Reciproc and Reciproc Blue files at various angles of file access in a reciprocation motion. The smaller the angle of access, the higher the cyclic fatigue resistance of both tested files.</p>
<p>Despite their value, <italic>in vitro</italic> studies using simulated canals at body temperature have limitations. Artificial models cannot fully replicate the complexity of natural teeth, including anatomical variations, dentin properties, and clinical factors like debris, lubrication, and operator technique. While body temperature testing is more relevant than room temperature, it still fails to capture dynamic intraoral conditions. Therefore, caution is needed when applying these results clinically, and future research using <italic>in vivo</italic> studies and advanced simulations, such as finite element analysis, is recommended to better reflect real-world performance (<xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B19">19</xref>).</p>
<p>There is a growing need for a more standardized and clinically relevant method of measuring the cyclic fatigue resistance of endodontic rotary instruments. Future research should focus on developing advanced testing protocols that incorporate realistic anatomical variations, simulated body temperature, and dynamic loads to better predict clinical performance. Additionally, integrating high-resolution imaging and finite element analysis could provide deeper insights into crack initiation and propagation, ultimately improving instrument design and clinical safety (<xref ref-type="bibr" rid="B19">19</xref>).</p>
<p>In conclusion, both the mode of motion and the angle of file access significantly influence the cyclic fatigue resistance of endodontic instruments. Reciprocation motion, which alternates clockwise and counterclockwise movements, reduces stress accumulation and delays crack propagation, thereby enhancing file longevity compared to continuous rotation. Additionally, a smaller access angle minimizes excessive flexion and stress concentration at the point of maximum curvature, further improving fatigue resistance.</p>
<p>These findings emphasize the importance of optimizing both motion kinematics and straight-line access to root canals to enhance the safety and efficiency of endodontic instrumentation.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability"><title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6" sec-type="author-contributions"><title>Author contributions</title>
<p>BE: Conceptualization, Writing &#x2013; original draft, Investigation, Writing &#x2013; review &#x0026; editing. MK: Methodology, Data curation, Investigation, Writing &#x2013; original draft. TE: Conceptualization, Formal analysis, Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft.</p>
</sec>
<sec id="s7" sec-type="funding-information"><title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<sec id="s8" sec-type="COI-statement"><title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s9" sec-type="ai-statement"><title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec id="s10" sec-type="disclaimer"><title>Publisher&#x0027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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