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Effect of Defect on Elastic/Plastic and Creep Behavior of Bone: A Finite Element Study

[+] Author Affiliations
A. Ajdari, P. K. Canavan, H. Nayeb-Hashemi

Northeastern University, Boston, MA

G. Warner

Howard University, Washington, DC

Paper No. SBC2007-175843, pp. 871-872; 2 pages
  • ASME 2007 Summer Bioengineering Conference
  • ASME 2007 Summer Bioengineering Conference
  • Keystone, Colorado, USA, June 20–24, 2007
  • Conference Sponsors: Bioengineering Division
  • ISBN: 0-7918-4798-5
  • Copyright © 2007 by ASME


Three-dimensional structure of trabecular bone can be modeled by 2D or 3D Voronoi structure. The effect of missing cell walls on the mechanical properties of 2D honeycombs is a first step towards understanding the effect of local bone resorption due to osteoporosis. In patients with osteoporosis, bone mass is lost first by thinning and then by resorption of the trabeculae [1].

Furthermore, creep response is important to analyze in cellular solids when the temperature is high relative to the melting temperature. For trabecular bone, as body temperature (38 °C) is close to the denaturation temperature of collagen (52 °C), trabecular bone creeps [1]. Over the half of the osteoporotic vertebral fractures that occur in the elderly, are the result of the creep and fatigue loading associated with the activities of daily living [2].

The objective of this work is to understand the effect of missing walls and filled cells on elastic-plastic behavior of both regular hexagonal and non-periodic Voronoi structures using finite element analysis.

The results show that the missing walls have a significant effect on overall elastic properties of the cellular structure. For both regular hexagonal and Voronoi materials, the yield strength of the structure decreased by more than 60% by introducing 10% missing walls. In contrast, the results indicate that filled cells have much less effect on the mechanical properties of both regular hexagonal and Voronoi materials.

Copyright © 2007 by ASME



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