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A novel damage
model for cortical bone under repeated loadings
Yufeng Pan, Wenjun Chen, Yiqi Rui, Cong Zhang, Jiaxing Cheng and Peng Wang |
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Vol. 20 (2025), No. 2, 193–209
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Abstract |
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In this paper, the continuum damage mechanics (CDM) with the classical jump cycle algorithm is used to study the fatigue fracture problems of bone in clinical analysis. The fatigue experiments have demonstrated that the initiation and growth of microcracks in bones is the key factor to premature fracture of bones. To describe the evolutions of microcracks, continuum damage mechanics is used. Based on the definition of bone damage due to microcracks evolution, a novel damage accumulation model is developed to predict the long-term mechanical performance of cortical bone. The developed damage model predicts the fatigue performance of bones by assessing damage development and elastic modulus degradation in bones of various ages. The correctness of the proposed model is validated by comparing it with the experiments’ results. Based on the jump cycle algorithm method, distributions of the cortical bone damage can be obtained according to the finite element method. This work uses a mechanical method that can quantitatively describe the performance degradation of materials or structures and a commonly used fatigue algorithm to solve the fatigue problem of bone fracture across disciplines. |
Keywords
cortical bone, fatigue, continuum damage mechanics,
microstructural small cracks, damage model
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Milestones
Received: 15 August 2024
Revised: 24 February 2025
Accepted: 19 March 2025
Published: 1 September 2025
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Authors |
| Yufeng Pan | |
| Department of General Surgery The Affiliated Geriatric Hospital of Nanjing Medical University Nanjing, 210024 China |
School of Medicine Southeast University Nanjing, 210009 China |
| Wenjun Chen | |
| Department of General Surgery The Affiliated Geriatric Hospital of Nanjing Medical University Nanjing, 210024 China |
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| Yiqi Rui | |
| Department of General Surgery The Affiliated Geriatric Hospital of Nanjing Medical University Nanjing, 210024 China |
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| Cong Zhang | |
| Department of General Surgery The Affiliated Geriatric Hospital of Nanjing Medical University Nanjing, 210024 China |
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| Jiaxing Cheng | |
| School of Mechanical
Engineering Yangzhou University Yangzhou, 225009 China |
School of Civil Engineering Southeast University Yangzhou University Nanjing China |
| Peng Wang | |
| Department of General Surgery The Affiliated Geriatric Hospital of Nanjing Medical University Nanjing, 210024 China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
