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Mechanics Down Under pp 217–230Cite as

Modeling of Bone Failure by Cohesive Zone Models

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Abstract

Cohesive zone models are a powerful tool for investigations of non-linear deformation and failure processes. For the nanoscale, the use of cohesive zone models is particularly attractive as the ratio of interface to volume is high, and because locally acting bonds between material components can become relevant. The present paper demonstrates the relevance of cohesive zone modelling approaches to the development of a nano-mechanical composite model of the mineralized collagen fibril, a fundamental building block of bone. As difficulties exist in determining the independent biomechanical effects of collagen cross-linking using in vitro and in vivo experiments, computational modeling can provide insight into the nanoscale processes. Stress-strain curves for mineralized collagen fibrils were obtained under tensile loading for various collagen cross-linking conditions. Our model predicts that the elastic deformation mode, the yield response and the final failure of the mineralized collagen fibril may depend significantly on the state of collagen cross-linking.

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Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Purdue University, West Lafayette, USA

    Thomas Siegmund

  2. Department of Anatomy and Cell Biology, Indiana University School of Medicine, Indianapolis, USA

    Matthew R. Allen & David B. Burr

  3. Department of Orthopaedic Surgery, Indiana University School of Medicine, Indianapolis, USA

    David B. Burr

  4. Biomedical Engineering, Indiana University-Purdue University at Indianapolis, Indianapolis, USA

    David B. Burr

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  1. Thomas Siegmund
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  2. Matthew R. Allen
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Editors and Affiliations

  1. , Department of Engineering Science, The University of Auckland, Symonds Street 70, Auckland, 1142, Auckland, New Zealand

    James P. Denier

  2. , School of Mathematical Sciences, The University of Adelaide, 00000, Adelaide, 5005, South Australia, Australia

    Matthew D. Finn

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Siegmund, T., Allen, M.R., Burr, D.B. (2013). Modeling of Bone Failure by Cohesive Zone Models. In: Denier, J., Finn, M. (eds) Mechanics Down Under. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5968-8_14

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  • DOI: https://doi.org/10.1007/978-94-007-5968-8_14

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