A nonlocal constitutive model for trabecular bone softening in compression |
| |
Authors: | Mathieu Charlebois Milan Jirásek Philippe K Zysset |
| |
Institution: | (1) Department of Mechanical Engineering, Florida State University, 32303 Tallahassee, FL, USA |
| |
Abstract: | Using the three-dimensional morphological data provided by computed tomography, finite element (FE) models can be generated
and used to compute the stiffness and strength of whole bones. Three-dimensional constitutive laws capturing the main features
of bone mechanical behavior can be developed and implemented into FE software to enable simulations on complex bone structures.
For this purpose, a constitutive law is proposed, which captures the compressive behavior of trabecular bone as a porous material
with accumulation of irreversible strain and loss of stiffness beyond its yield point and softening beyond its ultimate point.
To account for these features, a constitutive law based on damage coupled with hardening anisotropic elastoplasticity is formulated
using density and fabric-based tensors. To prevent mesh dependence of the solution, a nonlocal averaging technique is adopted.
The law has been implemented into a FE software and some simple simulations are first presented to illustrate its behavior.
Finally, examples dealing with compression of vertebral bodies clearly show the impact of softening on the localization of
the inelastic process. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|