CONSTITUTIVE MODELING AND ALGORITHMIC IMPLEMENTATION OF A
PLASTICITY-LIKE MODEL FOR TRABECULAR BONE STRUCTURES
A. Gupta, H.H. Bayraktar, J.C. Fox, T.M Keaveny and P. Papadopoulos
Comp. Mech., 40, pp. 61-72, (2007)
Abstract
Trabecular bone is a highly porous orthotropic cellular solid material present
inside human bones such as the femur (hip bone) and vertebra (spine). In this
study, an infinitesimal plasticity-like model with isotropic/kinematic
hardening is developed to describe yielding of trabecular bone at the
continuum level. One of the unique features of this formulations is the
development of the plasticity-like mode in strain space for a yielding envelop
expressed in terms of principal strains having assymetric yield behavior. An
implicity return-mappong approach is adopted to obtain a symmetric algorithmic
tanget moduls and a step-by-step procedure of algorithmic impementation is
derived. To investigate the performance of this approach in a full-scale
finite element simulation, the model is implemented in a non-linear finite
element analysis program and several test problems including the simulation of
loading of human femur structures are analyzed. The results show good
agreement with experimental data.
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