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Nonlinear Stress-Strain Behavior Due to Damage Accumulation in Cortical Bone

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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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References

  • Burr DB, Forwood MR, Fyhrie DP, Martin RB, Schafller MB, Turner CH (1997) Bone microdamage and skeletal fragility in osteoporotic and stress fractures. J Bone Miner Res 12:6–15

    CAS  Google Scholar 

  • Carter DR, Hayes WC (1976) Fatigue life of compact bone-I. Effects of stress amplitude, temperature, and density. J Biomechanics 9:27–34.

    CAS  Google Scholar 

  • Carter DR, Caler WE, Spengler DM, Frankel V (1981) Fatigue life of adult cortical bone: the influence of mean strain and strain range. Acta Orthop Scand 52:481–490.

    CAS  Google Scholar 

  • Carter DR, Caler WE (1983) Cycle-dependent and time-dependent bone fracture with repeated loading. J Biomech Engineering 105:166–170.

    CAS  Google Scholar 

  • Carter DR, Caler WE. (1985) A cumulative damage model for bone fracture. J Orthop Res 334–90.

    Google Scholar 

  • Caler WE, Carter DR (1989) Bone creep-fatigue damage accumulation. J Biomechanics 22(6/7):625–635.

    CAS  Google Scholar 

  • Currey JD, Brear K: Tensile yield in bone. Calc Tiss Res 15:173–179, 1974.

    Article  CAS  Google Scholar 

  • Davy, D, Fondrk, M; and Bahniuk E (1991) Internal State Variable Models for Creep Damage in Bone. Proc. ASME Biomechanics Symposium (ASME AMD-Vol 120), pp 287–290.

    Google Scholar 

  • Fondrk, M, Bahniuk, E, Day, DT and Michaels, C (1988) Some viscoplastic characteristics of bovine and human cortical bone. J. Biomechanics 21,623–630.

    CAS  Google Scholar 

  • Fondrk, MT (1989) An experimental and analytical investigation into nonlinear constitutive equation of cortical bone. Ph.D. dissertation, Department of Mechanical and Aerospace Engineering, Case Western Reserve University.

    Google Scholar 

  • Fondrk M, Bahniuk, E, Davy, D (1995) Modeling the Bending Behavior of Bone Using a Damage Accumulation Model. Proc. Bioengr. Conf. (ASME BED-Vol. 29), pp 299–300.

    Google Scholar 

  • Fondrk, M, Bahniuk, E, Davy, D (1997) Crack Density versus Crack Size Predictions for Cortical Bone Using a Penny-Shaped Crack Model. Proc. ASME Bioeng. Conf. (ASME BED Vol. 35), pp 378–380.

    Google Scholar 

  • Griffin LV, Gibeling JC, Martin RB, Gibson VA, Stover SM (1997) Model of flexural fatigue damage accumulation for cortical bone. J Orthop Res 15:607–614

    Article  CAS  Google Scholar 

  • Jepsen, K, Pattin, C, Bensusan, J, Day, D (1995) A Continuum Damage Model to predict the Torsional Properties of Cortical Bone. Proc. Bioengr. Conf (ASME BED-Vol. 29), pp 243–244.

    Google Scholar 

  • Jepsen, KJ, Day, DT (1997) Comparison of Damage Accumulation Measures in Human Cortical Bone. J. Biomechanics, 30:891–894.

    CAS  Google Scholar 

  • Jepsen, Kj, Davy, DT, Krzypow, DJ (1998) Physical and Mechanical Measures of Shear Damage Accumulation in Human Cortical Bone. J. Biomechanics, conditionally accepted

    Google Scholar 

  • Kachanov, LM (1986) Introduction to Continuum Damage Mechanics. Martinus Nijhoff, Dordrecht, The Netherlands.

    Google Scholar 

  • Krajcinovic, D, Trafimow J. and Sumarac, D. (1987) Simple constitutive model for a cortical bone. J. Biomechanics 20, 779–784.

    CAS  Google Scholar 

  • Lemaitre, J (1992) A Course in Damage Mechanics. Springer-Verlag, Berlin-Heidelberg-New York.

    Google Scholar 

  • Pattin, C, Jepsen, K, Bensusan, J, Davy, D (1995) Creep Behavior of Compact Bone in Tensile and Compressive Loading Modes. Proc. ASME Bioengr. Conf. (ASME BED-Vol. 29), pp 247–248.

    Google Scholar 

  • Pattin, CA. Caler, W.E., Carter, DR (1996) Cyclic mechanical property degradation during fatigue loading of cortical bone. J. Biomechanics 29 69–79.

    CAS  Google Scholar 

  • Schaffler MB, Pitchford WC, Choi K, Riddle JM (1994) Examination of compact bone microdamage using back-scattered electron microscopy. Bone 15:483–488

    Article  CAS  Google Scholar 

  • Zioupos P, Wang XT, 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 

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© 1999 Kluwer Academic Publishers

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Davy, D.T., Jepsen, K.J., Krzypow, D.J., Fondrk, M.T. (1999). Nonlinear Stress-Strain Behavior Due to Damage Accumulation in Cortical Bone. 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_31

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  • DOI: https://doi.org/10.1007/0-306-46939-1_31

  • 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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