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Length scale parameter of single trabecula in cancellous bone

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Abstract

In this paper, the material length scale parameter of the modified couple stress theory for trabecular bones is studied. For this reason, experimental data for the buckling of single wet and dry trabeculae from the subchondral region of the human medial tibial plateau are used from the literature. A material length scale parameter is extracted using the modified couple stress theory-based buckling relation and the experimental results. This parameter can capture the size-dependent behavior of trabeculae and can be beneficial for micro-mechanical investigation of trabecular bones. In addition, this paper proposes a size-dependent length scale parameter for trabeculae to estimate the buckling behaviors of dry and wet trabeculae, more accurately. Therefore, this paper confirms that the softening (weakening) effects of the modified couple stress theory and size-dependent behavior of the material length scale parameter can be considered for some special cases, and additionally, a correct value for the length scale parameter of the trabecula is revealed.

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  1. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

    Majid Akbarzadeh Khorshidi

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  1. Majid Akbarzadeh Khorshidi
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Correspondence to Majid Akbarzadeh Khorshidi.

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Akbarzadeh Khorshidi, M. Length scale parameter of single trabecula in cancellous bone. Biomech Model Mechanobiol 19, 1917–1923 (2020). https://doi.org/10.1007/s10237-020-01316-5

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