
Journal of Shanghai Jiao Tong University (Medical Science) ›› 2022, Vol. 42 ›› Issue (8): 1081-1094.doi: 10.3969/j.issn.1674-8115.2022.08.013
• Clinical research • Previous Articles Next Articles
ZHONG Qi(
), HUANG Yujie, ZHANG Yifan, SONG Yingshuang, WU Yaqin, QU Fang, HUANG Qingfeng(
), XU Chun(
)
Received:2022-03-17
Accepted:2022-06-17
Online:2022-08-28
Published:2022-08-12
Contact:
HUANG Qingfeng,XU Chun
E-mail:123281927@qq.com;hqfyy@163.com;imxuchun@163.com
Supported by:CLC Number:
ZHONG Qi, HUANG Yujie, ZHANG Yifan, SONG Yingshuang, WU Yaqin, QU Fang, HUANG Qingfeng, XU Chun. Three-dimensional finite element analysis on fiber-reinforced composite post-restored maxillary first molar with tooth defect[J]. Journal of Shanghai Jiao Tong University (Medical Science), 2022, 42(8): 1081-1094.
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URL: https://xuebao.shsmu.edu.cn/EN/10.3969/j.issn.1674-8115.2022.08.013
| Component | Elastic modulus/MPa | Poisson ratio |
|---|---|---|
| Cancellous bone [ | 1 370 | 0.30 |
| Cortical bone [ | 13 700 | 0.30 |
| Dentin [ | 18 600 | 0.31 |
| Gutta-percha [ | 141.9 | 0.45 |
| Periodontal ligament [ | 68.9 | 0.45 |
| Resin cement (crown) [ | 18 300 | 0.30 |
| Resin composite (direct restoration) [ | 12 000 | 0.33 |
| Resin core build-up/Resin cement (post) [ | 16 440 | 0.26 |
| Zirconia ceramic crown [ | 200 000 | 0.33 |
| Quartz fiber-reinforced composite post [ | Ex =50 000, Ey =Ez =15 000 | 0.30 |
Tab 1 Mechanical properties of materials and tooth tissues
| Component | Elastic modulus/MPa | Poisson ratio |
|---|---|---|
| Cancellous bone [ | 1 370 | 0.30 |
| Cortical bone [ | 13 700 | 0.30 |
| Dentin [ | 18 600 | 0.31 |
| Gutta-percha [ | 141.9 | 0.45 |
| Periodontal ligament [ | 68.9 | 0.45 |
| Resin cement (crown) [ | 18 300 | 0.30 |
| Resin composite (direct restoration) [ | 12 000 | 0.33 |
| Resin core build-up/Resin cement (post) [ | 16 440 | 0.26 |
| Zirconia ceramic crown [ | 200 000 | 0.33 |
| Quartz fiber-reinforced composite post [ | Ex =50 000, Ey =Ez =15 000 | 0.30 |
| Group | PO defect | DO defect | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Vertical loading | Lateral loading | Vertical loading | Lateral loading | ||||||||||
| P | DB | MB | P | DB | MB | P | DB | MB | P | DB | MB | ||
| NP | |||||||||||||
| C | 16.22 | 14.72 | 13.62 | 12.97 | 24.17 | 16.85 | 14.83 | 11.75 | 13.83 | 23.48 | |||
| M | 24.27 | 16.22 | 13.68 | 19.13 | 25.85 | 22.81 | 15.96 | 13.25 | 19.97 | 26.08 | |||
| A | 24.07 | 11.83 | 23.67 | 11.25 | |||||||||
| PP | |||||||||||||
| C | 18.62 | 16.11 | 14.90 | 11.15 | 12.90 | 24.95 | 18.35 | 15.98 | 14.96 | 11.51 | 12.67 | 23.76 | |
| M | 16.11 | 13.76 | 19.54 | 15.98 | 12.73 | 19.11 | 24.89 | ||||||
| A | 26.66 | 11.22 | 17.51 | 23.73 | 10.84 | ||||||||
| PDP | |||||||||||||
| C | 18.47 | 15.47 | 11.44 | 13.46 | 23.43 | 18.31 | 18.70 | 14.59 | 11.11 | 13.51 | 23.61 | ||
| M | 13.48 | 19.60 | 13.01 | 20.41 | 25.85 | ||||||||
| A | 26.84 | 22.85 | 12.90 | 11.50 | 17.46 | 23.59 | 21.49 | 12.01 | |||||
| PMP | |||||||||||||
| C | 18.58 | 15.87 | 15.13 | 10.82 | 12.82 | 20.57 | 18.46 | 15.80 | 14.59 | 11.43 | 12.37 | 22.23 | |
| M | 15.73 | 21.63 | 19.45 | 15.80 | 20.06 | 20.20 | 32.36 | ||||||
| A | 31.43 | 14.27 | 27.90 | 27.72 | 11.97 | ||||||||
| PDMP | |||||||||||||
| C | 18.25 | 15.23 | 13.22 | 11.15 | 13.50 | 21.49 | 18.48 | 14.59 | 15.20 | 11.39 | 13.46 | 20.86 | |
| M | 22.22 | 35.26 | 19.73 | ||||||||||
| A | 23.90 | 23.81 | 10.98 | 20.02 | 23.72 | 22.31 | 15.32 | 11.63 | 20.00 | ||||
Tab 2 MES on internal surfaces of root canals after placing posts (MPa)
| Group | PO defect | DO defect | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Vertical loading | Lateral loading | Vertical loading | Lateral loading | ||||||||||
| P | DB | MB | P | DB | MB | P | DB | MB | P | DB | MB | ||
| NP | |||||||||||||
| C | 16.22 | 14.72 | 13.62 | 12.97 | 24.17 | 16.85 | 14.83 | 11.75 | 13.83 | 23.48 | |||
| M | 24.27 | 16.22 | 13.68 | 19.13 | 25.85 | 22.81 | 15.96 | 13.25 | 19.97 | 26.08 | |||
| A | 24.07 | 11.83 | 23.67 | 11.25 | |||||||||
| PP | |||||||||||||
| C | 18.62 | 16.11 | 14.90 | 11.15 | 12.90 | 24.95 | 18.35 | 15.98 | 14.96 | 11.51 | 12.67 | 23.76 | |
| M | 16.11 | 13.76 | 19.54 | 15.98 | 12.73 | 19.11 | 24.89 | ||||||
| A | 26.66 | 11.22 | 17.51 | 23.73 | 10.84 | ||||||||
| PDP | |||||||||||||
| C | 18.47 | 15.47 | 11.44 | 13.46 | 23.43 | 18.31 | 18.70 | 14.59 | 11.11 | 13.51 | 23.61 | ||
| M | 13.48 | 19.60 | 13.01 | 20.41 | 25.85 | ||||||||
| A | 26.84 | 22.85 | 12.90 | 11.50 | 17.46 | 23.59 | 21.49 | 12.01 | |||||
| PMP | |||||||||||||
| C | 18.58 | 15.87 | 15.13 | 10.82 | 12.82 | 20.57 | 18.46 | 15.80 | 14.59 | 11.43 | 12.37 | 22.23 | |
| M | 15.73 | 21.63 | 19.45 | 15.80 | 20.06 | 20.20 | 32.36 | ||||||
| A | 31.43 | 14.27 | 27.90 | 27.72 | 11.97 | ||||||||
| PDMP | |||||||||||||
| C | 18.25 | 15.23 | 13.22 | 11.15 | 13.50 | 21.49 | 18.48 | 14.59 | 15.20 | 11.39 | 13.46 | 20.86 | |
| M | 22.22 | 35.26 | 19.73 | ||||||||||
| A | 23.90 | 23.81 | 10.98 | 20.02 | 23.72 | 22.31 | 15.32 | 11.63 | 20.00 | ||||
| Post | Group | PO defect | DO defect | ||
|---|---|---|---|---|---|
| Vertical loading | Lateral loading | Vertical loading | Lateral loading | ||
| Palatal canal | PP | 69.18 | 25.84 | 69.34 | 25.69 |
| PDP | 60.75 | 25.49 | 66.95 | 25.63 | |
| PMP | 65.00 | 25.22 | 71.29 | 25.37 | |
| PDMP | 65.50 | 25.43 | 63.78 | 25.44 | |
| Distobuccal canal | PDP | 42.50 | 26.29 | 39.73 | 27.50 |
| PDMP | 44.65 | 28.16 | 39.85 | 27.06 | |
| Mesiobuccal canal | PMP | 39.39 | 51.82 | 35.17 | 45.91 |
| PDMP | 36.27 | 49.31 | 27.06 | 48.91 | |
Tab 3 MES in the posts in each group (MPa)
| Post | Group | PO defect | DO defect | ||
|---|---|---|---|---|---|
| Vertical loading | Lateral loading | Vertical loading | Lateral loading | ||
| Palatal canal | PP | 69.18 | 25.84 | 69.34 | 25.69 |
| PDP | 60.75 | 25.49 | 66.95 | 25.63 | |
| PMP | 65.00 | 25.22 | 71.29 | 25.37 | |
| PDMP | 65.50 | 25.43 | 63.78 | 25.44 | |
| Distobuccal canal | PDP | 42.50 | 26.29 | 39.73 | 27.50 |
| PDMP | 44.65 | 28.16 | 39.85 | 27.06 | |
| Mesiobuccal canal | PMP | 39.39 | 51.82 | 35.17 | 45.91 |
| PDMP | 36.27 | 49.31 | 27.06 | 48.91 | |
| Post | Group | PO defect | DO defect | ||
|---|---|---|---|---|---|
| Vertical loading | Lateral loading | Vertical loading | Lateral loading | ||
| Palatal canal | PP | 11.75 | 7.30 | 12.93 | 7.41 |
| PDP | 11.77 | 7.27 | 11.91 | 7.33 | |
| PMP | 11.39 | 7.49 | 11.26 | 7.33 | |
| PDMP | 11.50 | 7.27 | 12.92 | 7.40 | |
| Distobuccal canal | PDP | 7.91 | 6.94 | 8.09 | 7.03 |
| PDMP | 7.91 | 6.78 | 7.85 | 6.89 | |
| Mesiobuccal canal | PMP | 7.40 | 12.38 | 7.48 | 12.84 |
| PDMP | 7.73 | 13.00 | 7.57 | 13.03 | |
Tab 4 Maximum shear stress on the post-cement interface (MPa)
| Post | Group | PO defect | DO defect | ||
|---|---|---|---|---|---|
| Vertical loading | Lateral loading | Vertical loading | Lateral loading | ||
| Palatal canal | PP | 11.75 | 7.30 | 12.93 | 7.41 |
| PDP | 11.77 | 7.27 | 11.91 | 7.33 | |
| PMP | 11.39 | 7.49 | 11.26 | 7.33 | |
| PDMP | 11.50 | 7.27 | 12.92 | 7.40 | |
| Distobuccal canal | PDP | 7.91 | 6.94 | 8.09 | 7.03 |
| PDMP | 7.91 | 6.78 | 7.85 | 6.89 | |
| Mesiobuccal canal | PMP | 7.40 | 12.38 | 7.48 | 12.84 |
| PDMP | 7.73 | 13.00 | 7.57 | 13.03 | |
| Group | PO defect | DO defect | ||
|---|---|---|---|---|
| Vertical loading | Lateral loading | Vertical loading | Lateral loading | |
| PP | 9.96 | 6.72 | 10.35 | 6.67 |
| PDP | 10.14 | 7.06 | 10.28 | 7.00 |
| PMP | 10.35 | 11.45 | 10.26 | 11.37 |
| PDMP | 10.58 | 11.29 | 10.38 | 11.54 |
Tab 5 Maximum shear stress on the cement-canal interface in each group (MPa)
| Group | PO defect | DO defect | ||
|---|---|---|---|---|
| Vertical loading | Lateral loading | Vertical loading | Lateral loading | |
| PP | 9.96 | 6.72 | 10.35 | 6.67 |
| PDP | 10.14 | 7.06 | 10.28 | 7.00 |
| PMP | 10.35 | 11.45 | 10.26 | 11.37 |
| PDMP | 10.58 | 11.29 | 10.38 | 11.54 |
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