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A damage model for nonlinear tensile behavior of cortical bone
M T Fondrk1, E H Bahniuk, D T Davy
1Department of Mechanical & Aerospace Engineering, Case Western Reserve University, Cleveland, OH 44106, USA.
Journal of Biomechanical Engineering
|October 26, 1999
Summary
A new damage model using two internal state variables (ISVs) describes cortical bone's time-dependent nonlinear tensile behavior. This model, incorporating stiffness loss and viscous effects, accurately captures bone's mechanical response under various loads.
Area of Science:
- Biomaterials Science
- Mechanical Engineering
- Orthopedic Research
Background:
- Cortical bone exhibits complex time-dependent nonlinear tensile behavior.
- Existing models may not fully capture the interplay of damage, viscosity, and friction.
Purpose of the Study:
- To develop and validate a novel damage model for cortical bone.
- To describe time-dependent nonlinear tensile behavior using internal state variables (ISVs).
Main Methods:
- Developed a two-ISV model: one for stiffness loss (damage), one for inelastic strain (viscosity/friction).
- Defined ISV evolution rules based on creep behavior.
- Simulated tensile and bending loading experiments.
Main Results:
- Initial simulations using average creep parameters underestimated maximum nonlinear strains.
- Adjusting parameters for individual tests yielded excellent fits for tensile and bending simulations.
- The model successfully captured nonlinear tensile behavior in both axial and bending loading.
Conclusions:
- The two-ISV model, integrating damage with slip and viscous effects, effectively describes cortical bone's nonlinear tensile behavior.
- This model provides a robust framework for predicting bone mechanics under physiological loading conditions.