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A new model to simulate the elastic properties of mineralized collagen fibril.

Publication ,  Journal Article
Yuan, F; Stock, SR; Haeffner, DR; Almer, JD; Dunand, DC; Brinson, LC
Published in: Biomechanics and modeling in mechanobiology
April 2011

Bone, because of its hierarchical composite structure, exhibits an excellent combination of stiffness and toughness, which is due substantially to the structural order and deformation at the smaller length scales. Here, we focus on the mineralized collagen fibril, consisting of hydroxyapatite plates with nanometric dimensions aligned within a protein matrix, and emphasize the relationship between the structure and elastic properties of a mineralized collagen fibril. We create two- and three-dimensional representative volume elements to represent the structure of the fibril and evaluate the importance of the parameters defining its structure and properties of the constituent mineral and collagen phase. Elastic stiffnesses are calculated by the finite element method and compared with experimental data obtained by synchrotron X-ray diffraction. The computational results match the experimental data well, and provide insight into the role of the phases and morphology on the elastic deformation characteristics. Also, the effects of water, imperfections in the mineral phase and mineral content outside the mineralized collagen fibril upon its elastic properties are discussed.

Duke Scholars

Published In

Biomechanics and modeling in mechanobiology

DOI

EISSN

1617-7940

ISSN

1617-7959

Publication Date

April 2011

Volume

10

Issue

2

Start / End Page

147 / 160

Related Subject Headings

  • X-Ray Diffraction
  • Stress, Mechanical
  • Scattering, Small Angle
  • Reproducibility of Results
  • Models, Biological
  • Minerals
  • Finite Element Analysis
  • Fibrillar Collagens
  • Elastic Modulus
  • Dogs
 

Citation

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Yuan, F., Stock, S. R., Haeffner, D. R., Almer, J. D., Dunand, D. C., & Brinson, L. C. (2011). A new model to simulate the elastic properties of mineralized collagen fibril. Biomechanics and Modeling in Mechanobiology, 10(2), 147–160. https://doi.org/10.1007/s10237-010-0223-9
Yuan, Fang, Stuart R. Stock, Dean R. Haeffner, Jonathan D. Almer, David C. Dunand, and L Catherine Brinson. “A new model to simulate the elastic properties of mineralized collagen fibril.Biomechanics and Modeling in Mechanobiology 10, no. 2 (April 2011): 147–60. https://doi.org/10.1007/s10237-010-0223-9.
Yuan F, Stock SR, Haeffner DR, Almer JD, Dunand DC, Brinson LC. A new model to simulate the elastic properties of mineralized collagen fibril. Biomechanics and modeling in mechanobiology. 2011 Apr;10(2):147–60.
Yuan, Fang, et al. “A new model to simulate the elastic properties of mineralized collagen fibril.Biomechanics and Modeling in Mechanobiology, vol. 10, no. 2, Apr. 2011, pp. 147–60. Epmc, doi:10.1007/s10237-010-0223-9.
Yuan F, Stock SR, Haeffner DR, Almer JD, Dunand DC, Brinson LC. A new model to simulate the elastic properties of mineralized collagen fibril. Biomechanics and modeling in mechanobiology. 2011 Apr;10(2):147–160.
Journal cover image

Published In

Biomechanics and modeling in mechanobiology

DOI

EISSN

1617-7940

ISSN

1617-7959

Publication Date

April 2011

Volume

10

Issue

2

Start / End Page

147 / 160

Related Subject Headings

  • X-Ray Diffraction
  • Stress, Mechanical
  • Scattering, Small Angle
  • Reproducibility of Results
  • Models, Biological
  • Minerals
  • Finite Element Analysis
  • Fibrillar Collagens
  • Elastic Modulus
  • Dogs