A Damage Model for Nonlinear Tensile Behavior of Cortical Bone

[+] Author and Article Information
M. T. Fondrk, E. H. Bahniuk, D. T. Davy

Orthopaedic Engineering Laboratory, Department of Mechanical & Aerospace Engineering, and Department of Orthopaedics, Case Western Reserve University, Cleveland, OH 44106

J Biomech Eng 121(5), 533-541 (Oct 01, 1999) (9 pages) doi:10.1115/1.2835084 History: Received November 24, 1998; Revised May 24, 1999; Online January 23, 2008


To describe the time-dependent nonlinear tensile behavior observed in experimental studies of cortical bone, a damage model was developed using two internal state variables (ISV’s). One ISV is a damage parameter that represents the loss of stiffness. A rule for the evolution of this ISV was defined based on previously observed creep behavior. The second ISV represents the inelastic strain due to viscosity and internal friction. The model was tested by simulating experiments in tensile and bending loading. Using average values from previous creep studies for parameters in the damage evolution rule, the model tended to underestimate the maximum nonlinear strains and to overestimate the nonlinear strain accumulated after load reversal in the tensile test simulations. Varying the parameters for the individual tests produced excellent fits to the experimental data. Similarly, the model simulations of the bending tests could produce excellent fits to the experimental data. The results demonstrate that the 2-ISV model combining damage (stiffness loss) with slip and viscous behavior could capture the nonlinear tensile behavior of cortical bone in axial and bending loading.

Copyright © 1999 by The American Society of Mechanical Engineers
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