Skip to main content

Fracture process in cortical bone: X-FEM analysis of microstructured models

  • Conference paper
  • First Online:
Fracture Phenomena in Nature and Technology

Abstract

Bones tissues are heterogeneous materials that consist of various microstructural features at different length scales. The fracture process in cortical bone is affected significantly by the microstructural constituents and their heterogeneous distribution. Understanding mechanics of bone fracture is necessary for reduction and prevention of risks related to bone fracture. The aim of this study is to develop a finite-element approach to evaluate the fracture process in cortical bone at micro-scale. In this study, three microstructural models with various random distributions based on statistical realizations were constructed using the global model’s framework together with a submodelling technique to investigate the effect of microstructural features on macroscopic fracture toughness and microscopic crack-propagation behaviour. Analysis of processes of crack initiation and propagation utilized the extended finite-element method using energy-based cohesive-segment scheme. The obtained results were compared with our experimental data and observations and demonstrated good agreement. Additionally, the microstructured cortical bone models adequately captured various damage and toughening mechanisms observed in experiments. The studies of crack length and fracture propagation elucidated the effect of microstructural constituents and their mechanical properties on the microscopic fracture propagation process.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Abdel-Wahab AA, Alam K, Silberschmidt VV (2010a) Analysis of anisotropic viscoelastoplastic properties of cortical bone tissues. J Mech Behav Biomed Mater 4:807–820

    Google Scholar 

  • Abdel-Wahab AA, Maligno AR, Silberschmidt VV (2010b) Micro-scale numerical model of bovine cortical bone: analysis of plasticity localization. In: Proceedings of the ASME 10th biennial conference on engineering systems design and analysis, vol 1. Istanbul, Turkey, pp 821–829

    Google Scholar 

  • Ascenzi A, Benvenuti A (1986) Orientation of collagen fibers at the boundary between two successive osteonic lamellae and its mechanical interpretation. J Biomech 19:455–463

    Google Scholar 

  • Behiri JC, Bonfield W (1989) Orientation dependence of the fracture mechanics of cortical bone. J Biomech 22:863–867, 869–872

    Google Scholar 

  • Bonney H, Colston BJ, Goodman AM (2011) Regional variation in the mechanical properties of cortical bone from the porcine femur. Med Eng Phys 33:513–520

    Google Scholar 

  • Boyce TM, Fyhrie DP, Glotkowski MC, Radin EL, Schaffler MB (2005) Damage type and strain mode associations in human compact bone bending fatigue. J Orthop Res 16:322–329

    Google Scholar 

  • Budyn E, Hoc T (2007) Multiple scale modeling of cortical bone fracture in tension using X-FEM. REMN 16:213–236

    Google Scholar 

  • Chan KS, Nicolella DP (2012) Micromechanical modeling of R-curve behaviors in human cortical bone. J Mech Behav Biomed Mater. doi:http://dx.doi.org/10.1016/j.jmbbm.2012.09.009

  • Currey JD (2011) The structure and mechanics of bone. J Mater Sci 47:41–54

    Google Scholar 

  • Currey JD (1999) The design of mineralised hard tissues for their mechanical functions. J Exp Biol 202:3285–3294

    Google Scholar 

  • Dassault Systemes. (2012) Abaqus v6.12 Documentation—ABAQUS analysis user’s manual. ABAQUS Inc; 6.12

    Google Scholar 

  • Ebacher V, Wang R (2008) A unique microcracking process associated with the inelastic deformation of haversian bone. Adv Funct Mater 19:57–66

    Google Scholar 

  • Ethier CR, Simmons CA (2007) Introductory biomechanics: from cells to organisms. Cambridge University Press, New York

    Google Scholar 

  • Fratzl P, Gupta HS, Paschalis EP, Roschger P (2004) Structure and mechanical quality of the collagen-mineral nano-composite in bone. J Mater Chem 14:2115–2123

    Google Scholar 

  • Katz JL, Yoon HS, Lipson S, Maharidge R, Meunier A, Christel P (1984) The effects of remodeling on the elastic properties of bone. Calcif Tissue Int 36:31–36

    Google Scholar 

  • Li S, Abdel-Wahab A, Silberschmidt VV (2012) Analysis of fracture processes in cortical bone tissue. Eng Fract Mech doi:http://dx.doi.org/10.1016/j.engfracmech.2012.11.020

  • Liu D, Weiner S, Daniel Wagner H (1999) Anisotropic mechanical properties of lamellar bone using miniature cantilever bending specimens. J Biomech 32:647–654

    Google Scholar 

  • Liu XC, Qin X, Du Z (2010) Bone fracture analysis using the extended finite element method (XFEM) with abaqus. The 34th annual meeting of the American Society of Biomechanics. Brown University

    Google Scholar 

  • Martin RB, Boardman DL (1993) The effects of collagen fiber orientation, porosity, density, and mineralization on bovine cortical bone bending properties. J Biomech 26:1047–1054

    Google Scholar 

  • Montalbano T, Feng G (2011) Nanoindentation characterization of the cement lines in ovine and bovine femurs. J Mater Res 26:1036–1041

    Google Scholar 

  • Nalla RK, Kruzic JJ, Ritchie RO (2004) On the origin of the toughness of mineralized tissue: microcracking or crack bridging? Bone 34:790–798

    Google Scholar 

  • Nalla RK, Kinney JH, Ritchie RO (2003) Mechanistic fracture criteria for the failure of human cortical bone. Nat Mater 2:164–168

    Google Scholar 

  • Nalla RK, Kruzic JJ, Kinney JH, Ritchie RO (2005) Mechanistic aspects of fracture and R-curve behavior in human cortical bone. Biomater 26:217–231

    Google Scholar 

  • Nyman JS, Leng H, Dong XN, Wang X (2009) Differences in the mechanical behavior of cortical bone between compression and tension when subjected to progressive loading. J Mech Behav Biomed Mater 2:613–619

    Google Scholar 

  • Peterlik H, Roschger P, Klaushofer K, Fratzl P (2006) Orientation dependent fracture toughness of lamellar bone. Int J Fract 139:395–405

    Google Scholar 

  • Piccolroaz A, Mishuris G, Movchan A, Movchan N (2012) Perturbation analysis of mode III interfacial cracks advancing in a dilute heterogeneous material. Int J Solids Struct 49:244–255

    Google Scholar 

  • Ritchie RO, Kinney JH, Kruzic JJ, Nalla RK (2005) A fracture mechanics and mechanistic approach to the failure of cortical bone. Fatigue Fract Eng Mater Struct 28:345–371

    Google Scholar 

  • Robertson DM, Robertson D, Barrett CR (1978) Fracture toughness, critical crack length and plastic zone size in bone. J Biomech 11:359–364

    Google Scholar 

  • Ural A, Vashishth D (2006) Cohesive finite element modeling of age-related toughness loss in human cortical bone. J Biomech 39:2974–2982

    Google Scholar 

  • Ural A, Zioupos P, Buchanan D, Vashishth D (2011) The effect of strain rate on fracture toughness of human cortical bone: a finite element study. J Mech Behav Biomed Mater 4:1021–1032

    Google Scholar 

  • Vashishth D, Tanner KE, Bonfield W (2003) Experimental validation of a microcracking-based toughening mechanism for cortical bone. J Biomech 36:121–124

    Google Scholar 

  • Yang QD, Cox BN, Nalla RK, Ritchie RO (2006) Fracture length scales in human cortical bone: the necessity of nonlinear fracture models. Biomaterials 27:2095–2113

    Google Scholar 

  • Zimmermann EA, Schaible E, Bale H, Barth HD, Tang SY, Reichert P et al (2011) Age-related changes in the plasticity and toughness of human cortical bone at multiple length scales. Proc Natl Acad Sci 108:14416–14421

    Google Scholar 

  • Zioupos P, Currey JD (1994) The extent of microcracking and the morphology of microcracks in damaged bone. J Mater Sci 29:978–986

    Google Scholar 

  • Zioupos P, Wang X, Currey JD (1996) The accumulation of fatigue microdamage in human cortical bone of two different ages in vitro. Clin Biomech 11:365–375

    Google Scholar 

Download references

Acknowledgments

The authors acknowledge the financial support from EPSRC UK (grant no. EP/G048886/1).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vadim V. Silberschmidt .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Li, S., Abdel-Wahab, A., Demirci, E., Silberschmidt, V.V. (2014). Fracture process in cortical bone: X-FEM analysis of microstructured models. In: Bigoni, D., Carini, A., Gei, M., Salvadori, A. (eds) Fracture Phenomena in Nature and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-04397-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-04397-5_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04396-8

  • Online ISBN: 978-3-319-04397-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics