Stress distributions in human teeth modeled with a natural graded material distribution

Yung-Chung Chen, Alex Fok

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Objective. This study aimed to investigate how the structural stress distribution in human teeth could be affected by the presence of a graded material distribution often found in nature using the finite element (FE) method. Methods. Hydroxyapatite (HA) tablets with different densities were scanned using a Micro-CT scanner to obtain a relationship between the attenuation coefficient and the elastic modulus via the mineral density. Two maxillary premolars were scanned to provide the geometries and material distributions for constructing the FE models. Stress analyses were then performed to compare the stress distributions between the models with uniform material properties and those with a graded material layout. Results. The attenuation coefficients and densities of the HA tablets measured ranged from 109.77 to 175.01 cm-1 and 0.99 to 1.54 g cm-3, respectively. A linear relationship was found between them and applied to the premolars to derive the elastic modulus via the mineral density. Stress analysis showed that, with a graded material layout, the peak maximum principal stress in the enamel was reduced by about 50% and the overall stress distribution was more uniform. Along the DEJ, two stress peaks were found near the dentin horns, but again they were much lower in magnitude in the models with a graded material distribution. Significance. The results from this study support the hypothesis that the material layout in human enamel is optimized for distributing the external load evenly. They also point to the importance of taking into account the graded material distribution in nature when performing stress analysis for tooth structures.

Original languageEnglish (US)
Pages (from-to)e337-e348
JournalDental Materials
Issue number12
StatePublished - Dec 1 2014

Bibliographical note

Publisher Copyright:
© 2014 Academy of Dental Materials. Published by Elsevier Ltd. All rights reserved.


  • Finite element analysis
  • Graded material distribution
  • Tooth structure


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