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Updated: May 3, 2026

A Finite Element Approach for Locating the Center of Resistance of Maxillary Teeth
Published on: April 8, 2020
3D-finite element analysis and weibull analysis of maxillary first molar restored with endocrowns with different
Qi Zhong1, Zidi Zhai1, Zi'ang Wu1
1Department of Prosthodontics, Shanghai Ninth People's Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai, China; College of Stomatology, Shanghai Jiao Tong University, Shanghai, China; National Center for Stomatology, Shanghai, China; National Clinical Research Center for Oral Diseases, Shanghai, China; Shanghai Key Laboratory of Stomatology, Shanghai, China; Shanghai Research Institute of Stomatology, Shanghai, China.
Background:
Rehabilitation of endodontically treated teeth with large coronal destruction is still a clinical challenge. No established guidelines specify where a conventional crown with fiber-reinforced composite (FRC) post-and-resin core or an endocrown (EC) is indicated and which material or pulpal extension should be used.
Objective:
To provide evidence for restoring severely damaged maxillary first molar (MFM) by comparing the fracture and debonding resistance after being restored with the ceramic EC and the conventional zirconia crown and FRC post-and-resin core.
Method:
Models of a MFM with a mesial-occlusal-distal-palatal defect with different restoration strategies were created: C-FRC -- conventional crown with FRC post, EC-Zr-3/4/5 - zirconia EC with 3-/4-/5-mm pulpal extension, EC-Li-3/4/5 - lithium disilicate EC with 3-/4-/5-mm pulpal extension. Two loading conditions were applied: vertical loading - a 400-N force along the tooth's long axis; lateral loading - a 225-N force at a 45-degree angle buccally to the tooth's long axis. Three-dimensional finite element analysis and Weibull analysis were conducted for the above seven models.
Results:
The C-FRC group obtained the lowest maximal Mohr-Coulomb stress ratio (MσMC ratio) in the residual tooth structure under both loadings (0.2646 and 0.2815, respectively). The lowest MσMC ratio in the cement was in the EC-Li-5 group under both loadings (0.07660 and 0.3177, respectively). The lowest maximal shear stress at the adhesive interface was in the EC-Li-3 group under both loadings (5.700 MPa and 20.48 MPa, respectively).
Conclusions:
The conventional crown with FRC post-and-resin core is still suitable for restoring a MFM with a mesial-occlusal-distal-palatal defect. Lithium disilicate EC with 3-mm pulpal extension may be a choice for the MFM where conventional restoration is not applicable.
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