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A cumulative damage model for bone fracture.

D R Carter, W E Caler

    Journal of Orthopaedic Research : Official Publication of the Orthopaedic Research Society
    |January 1, 1985
    PubMed
    Summary
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    This study introduces a mathematical model for bone fracture, considering time and cycle-dependent damage. The model accurately predicts bone failure under various loading conditions, offering insights into in vivo bone behavior.

    Area of Science:

    • Biomechanics
    • Materials Science
    • Orthopedics

    Background:

    • Cortical bone exhibits complex fracture behavior influenced by time and cyclic loading.
    • Understanding these fracture characteristics is crucial for predicting bone failure and designing treatments.

    Purpose of the Study:

    • To develop and validate a mathematical model for predicting the time- and cycle-dependent fracture of devitalized cortical bone.
    • To analyze the influence of loading rate and history on bone fracture mechanics.

    Main Methods:

    • A linear-life fraction rule was employed to model cumulative creep and fatigue damage.
    • The model was tested against experimental data for monotonic tensile strength, creep-fracture tests, and cyclic loading scenarios.

    Main Results:

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    • The model successfully described the effect of loading rate on tensile strength.
    • It accurately predicted failure times in creep-fracture tests.
    • The model captured bone fracture behavior under zero-tension and tension-compression cyclic loading.

    Conclusions:

    • The developed mathematical model effectively characterizes devitalized cortical bone fracture under combined time- and cycle-dependent loading.
    • The model has potential implications for understanding in vivo bone fracture, deformity, and remodeling.