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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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4. RESULTS AND DISCUSSION<br />

4.1 Flexibility<br />

The stress distribution in the files under 45° bending tests are shown in Fig. 3. A<br />

maximum von Mises stress of 1197 MPa was found for the ProTaper F1 instrument<br />

while the maximum von Mises stress for the Mtwo instrument was 980 MPa.<br />

a)<br />

b)<br />

Figure 3. Stress distribution under 45° bending test: a) ProTaper F1 and b) Mtwo.<br />

The simulated moment required to deflect the F1 files until 45° was greater than the<br />

moment measured to deflect Mtwo (Fig. 4). These results match with the experimental<br />

ones as shown in Fig. 4, where bending moment curves resulted from simulation are<br />

compared with the experimental average curves with standard error bars.<br />

Moment (N.cm)<br />

0,7<br />

0,6<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

Experimental<br />

Numerical<br />

0,0<br />

0 5 10 15 20 25 30 35 40 45<br />

Bending ( )<br />

a)<br />

0<br />

0 5 10 15 20 25 30 35 40 45<br />

Bending ( )<br />

Figure 4. Numerical bending moment compared with the experimental one: a) ProTaper F1 and b) Mtwo.<br />

The flexibility of endodontic instruments depends on their metallurgic properties and<br />

their geometric shape and size. Once the metallurgic properties used for the simulation<br />

are the same for both instruments, the differences in flexibility observed here between<br />

Moment (N.cm)<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

Experimental<br />

Numerical<br />

b)

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