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Fatigue Damage in Bone: Links to Adaptation

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IUTAM Symposium on Synthesis in Bio Solid Mechanics

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 69))

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Abstract

This paper reviews the evidence for a link between fatigue damage in bone, which is caused by mechanical loading, and the physiological processes of remodelling and adaptation, whereby bone is deposited and removed by specialised cells. On a theoretical level, this link is an appealing one because it provides a direct pathway between the tendency to failure and those processes which mitigate against failure. Experimentally, evidence is available in terms of the observed link between remodelling systems (BMUs) and fatigue microcracks. Further evidence comes from the relationship between adaptation phenomena (bone resorption and deposition) and parameters such as applied cyclic stress, strain and frequency. Similar relationships exist between these parameters and fatigue variables such as crack growth rate and number of cycles to failure. This paper describes the development of a theoretical model which describes the rate of growth of a crack as a function of cyclic stress intensity and material microstructure, along the lines previously used for engineering materials. This model is useful because it is able to predict a number of different experimental phenomena, including: number of cycles to failure; reduction in material stiffness and changes to the number and length of cracks in the material. Scatter in these data can also be predicted using stochastic quantities. This model provides the theoretical basis necessary for the consideration of fatigue as a predictor of adaptation and remodelling. Initial predictions from the model are shown: it is capable of predicting various features of the experimental data, but the levels of cyclic strain predicted to induce bone deposition and resorption are higher than found experimentally.

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References

  1. Martin, RB. (1995) Mathematical model for repair of fatigue damage and stress fracture in osteonal bone. J.Orthop.Res 13:309–316.

    Article  CAS  Google Scholar 

  2. Rubin CT and McLeod KJ (1995) Endogenous control of bone morphology via frequency specific, low magnitude functional strain. In “Bone Structure and Remodelling” Publ. World Scientific, 79–90.

    Google Scholar 

  3. Rubin CT and McLeod KJ (1990) Biologic modulation of mechanical influences on bone adaptation. In “Biomechanics of Diarthroidal Joints”, Publ.Springer-Verlag. 97–118.

    Google Scholar 

  4. Rubin C and Lanyon L (1987) Osteoregulatory nature of mechanical stimuli: Function as a determinant for adaptive remodeling in bone. J.orthop.res 5:300–310.

    Article  CAS  Google Scholar 

  5. Zioupos P, Wang XT and Currey JD (1996) Experimental and theoretical quantification of the development of damage in fatigue tests of bone and antler. J.Biomechanics 29:989–1002.

    CAS  Google Scholar 

  6. Miller KJ, Mohamed HJ, de los Rios ER (1986) Short Fatigue Cracks Publ.MEP (UK). 491–590.

    Google Scholar 

  7. Taylor D (1989) Fatigue thresholds. Publ.Butterworths (UK).

    Google Scholar 

  8. Hobson PD (1982) The formulation of a crack growth equation for short cracks Fatigue and Fract of Engng Mater Struct 5:323–327.

    Google Scholar 

  9. DelosRios ER, Mohamed HJ and Miller KJ (1985) A micro-mechanics analysis for short fatigue crack growth. Fatigue and Fract of Engng Mater Struct 8:49–63.

    Google Scholar 

  10. Taylor D. and Prendergast PJ (1997) A model for fatigue crack propagation and remodelling in compact bone. J.Engng in Medicine (Proc.InstMech.Engrs Part H) 211 369–375.

    CAS  Google Scholar 

  11. Paris, P.C. and Erdogan, F. (1963) A critical analysis of crack propagation laws J. Basic Engng. 85:528–534.

    CAS  Google Scholar 

  12. Wright TM and Hayes WC (1976) The fracture mechanics of fatigue crack propagation in compact bone. J.Biomed.Mater.Res.Symp. 7:637–648.

    Google Scholar 

  13. Shaffler, M.B., Radin, E.L. and Burr, D.B. (1990) Long-term fatigue behaviour of compact bone at low strain magnitude and rate. Bone 11, 321–326.

    Google Scholar 

  14. Shaffer, M.B., Radin E.L. and Bur, D.B. (1989) Mechanical and morphological effects of strain rate on fatigue of compact bone. Bone 10, 207–214.

    Google Scholar 

  15. Taylor D Microcrack growth parameters for compact bone deduced from stiffness Variations J.Biomech, In Press.

    Google Scholar 

  16. Martin, RB. and Burr, D.B. (1989) Structure, function and adaptation of compact bone. Raven Press (New York, USA).

    Google Scholar 

  17. Burr DB and Martin RB. (1993) Calculating the probability that microcracks initiate resorption spaces. J.Biomechanics 26,613–616.

    CAS  Google Scholar 

  18. Taylor D and Lee TC. Measuring the shape and size of microcracks in bone. Unpublished, submitted to J.Biomech

    Google Scholar 

  19. Carter DR and Hayes WC (1976) Fatigue life of compact bone I-effects of stress amplitude, temperature and density. J.Biomech 25:27–34.

    Google Scholar 

  20. Taylor D. Fatigue of bone and bones: an analysis based on stressed volume. J.Orthop.Res, In Press.

    Google Scholar 

  21. Yamada H. Strength of Biological Materials (1970) Ed.F.G. Evans PubL. Williams and Wilkins (USA).

    Google Scholar 

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© 1999 Kluwer Academic Publishers

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Taylor, D. (1999). Fatigue Damage in Bone: Links to Adaptation. In: Pedersen, P., Bendsøe, M.P. (eds) IUTAM Symposium on Synthesis in Bio Solid Mechanics. Solid Mechanics and its Applications, vol 69. Springer, Dordrecht. https://doi.org/10.1007/0-306-46939-1_16

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  • DOI: https://doi.org/10.1007/0-306-46939-1_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5615-8

  • Online ISBN: 978-0-306-46939-8

  • eBook Packages: Springer Book Archive

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