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Using a scale-bridging technique to determine the effect of elastic properties on stress distribution around the femoral stem of an artificial hip joint with a simplified geometry

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Abstract

A scale-bridging technique was used to investigate the effect of the elastic properties of β-Ti alloys on the stress distribution around the femoral stem of an artificial hip joint with a simplified geometry when under an external loading. The anisotropic elastic constants of single-crystalline β-Ti alloys (TN1: Ti-18.75 at% Nb, TN2: Ti-37.5 at% Nb, and TN3: Ti-43.75 at% Nb) were calculated using an ab-initio technique that was based on density functional theory calculation. The single-crystalline elastic constants calculated via the ab-initio technique were used to calculate the elastic constants of polycrystal β-Ti alloys using an elastic selfconsistent scheme. Finite element analysis based on the elastic constants of polycrystalline β-Ti alloys for a femoral stem was conducted to calculate the above-mentioned stress distribution. The model system consisting of a TN1 alloy exhibited a relatively high level of von Mises stress on the surface of cancellous and cortical bones compared to model systems consisting of TN2, TN3 alloys and commercial biomaterials (Ti-6Al-4V alloy and 316STS). The thickness of the cancellous bone between the femoral stem and the cortical bone affected the stress concentration on the surface of the cortical bone.

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Authors and Affiliations

  1. Department of Printed Electronics Engineering, Sunchon National University, 315 Maegok, Sunchon, Jeonnam, 540-950, Korea

    C. U. Jeong & S. -H. Choi

  2. Electronic Materials Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Korea

    S. -C. Lee

  3. Department of Aerospace Engineering, Sunchon National University, Sunchon, Jeonnam, 540-742, Korea

    H. N. Rhee

  4. Center for Joint Disease, Chonnam National University Hwasun Hospital, Hwasun-gun, Jeonnam, 519-809, Korea

    K. S. Park

Authors
  1. C. U. Jeong
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  2. S. -C. Lee
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  3. H. N. Rhee
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  4. K. S. Park
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  5. S. -H. Choi
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Correspondence to S. -C. Lee or S. -H. Choi.

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Jeong, C.U., Lee, S.C., Rhee, H.N. et al. Using a scale-bridging technique to determine the effect of elastic properties on stress distribution around the femoral stem of an artificial hip joint with a simplified geometry. Met. Mater. Int. 20, 593–600 (2014). https://doi.org/10.1007/s12540-014-4003-4

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  • DOI: https://doi.org/10.1007/s12540-014-4003-4

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