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Topology optimization of the hip bone for gait cycle

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Abstract

This work presents a topology optimization–based approach towards the optimal design of the human hip bone under mechanical loads during walking. The human hip bone is a complex structure that connects the leg with the torso. It transfers body loads from the upper body to the leg during standing, walking, running, and other daily activities during which it bears nearly two to six times the body weight. This indicates that the evolution of the human hip bone might have been guided by mechanical loads during upright gait which is particular in humans. This motivates us to synthesize an optimal hip structure under loads and constraints of the gait cycle using tools of structural topology optimization. The problem is posed as a compliance minimization problem subject to volume constraint under similar boundary conditions and mechanical loads as the natural hip bone. During a few phases of the gait cycle, the optimal designs from topology optimization achieve good similarity with the natural hip bone. The similarity highly increases under a judicious combination of loading of different phases of the gait cycle. No such prior work exists on the optimal design of the human hip bone as a single entity using topology optimization. The new design may find applications in replacement of hip bone and its parts due to failure under high stresses in different types of injuries.

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Acknowledgments

We thank Prof. C. Sujatha, Department of Mechanical Engineering, IIT Madras, for providing us the geometric model of the hip bone.

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Authors and Affiliations

  1. Machine Design Section, Department of Mechanical Engineering, IIT Madras, Chennai, Tamil Nadu, 600036, India

    Kandula Eswara Sai Kumar & Sourav Rakshit

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  1. Kandula Eswara Sai Kumar
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  2. Sourav Rakshit
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Correspondence to Sourav Rakshit.

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Responsible Editor: Helder C. Rodrigues

Replication of results

The hip bone model is procured from TurboSquid domain and is a proprietary item that cannot be shared in the public domain. We have given a step-by-step procedure of topology optimization using OptiStruct®;14.0 for a simple geometry model with similar loads and boundary conditions as the model presented in this paper. All files are available at https://github.com/KESaiKumar/SMO/.

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Kumar, K.E.S., Rakshit, S. Topology optimization of the hip bone for gait cycle. Struct Multidisc Optim 62, 2035–2049 (2020). https://doi.org/10.1007/s00158-020-02593-5

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  • DOI: https://doi.org/10.1007/s00158-020-02593-5

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