Abstract
This paper deals with the formulation, development and validation of a newly developed micromechanical-based model for the modeling of the nonlinear ductile fracture of human humerus. The originality of the present works concerns the coupling between the micromechanical formulation based on the Mori-Tanaka homogenization scheme for cylindrical voids and the Marigo nonlinear ductile damage model based on the porosity growth. The proposed model was implemented as a User Material UMAT within the explicit dynamic software LS-DYNA and validated by numerical and experimental analysis conducted by a drop tower impact of human humerus. The outcome of the proposed multi-scale model appears to correctly predict the general trends observed experimentally via the good estimation of the ultimate impact load and the fracture patterns of the human humerus.
Highlights
Understanding the physical mechanisms of bone fracture represents a major challenge in biomechanics, since it allows the enhancement of injury criteria commonly used by European New Car Assessment Programme (Euro NCAP) for the safety of vehicle passengers and pedestrians [1]
A new theoretical formulation, development and validation of a ductile damage model applied to the human humerus bone under impact loading, has been proposed in the present investigation
It has to be noticed that the ultimate impact load that a human humerus may encounter before fracture, can be estimated with the proposed coupled model with a high accuracy
Summary
Understanding the physical mechanisms of bone fracture represents a major challenge in biomechanics, since it allows the enhancement of injury criteria commonly used by European New Car Assessment Programme (Euro NCAP) for the safety of vehicle passengers and pedestrians [1] It can deliver a follow up of athlete's safety during their trainers avoiding risk zones of injury especially in contact sports [2]. This knowledge is essentially based on the use of the numerical models, whose prediction is assessed through the development of high resolution medical imaging and simulation software [3] Among these models, the anthropometric test device (ATD) commonly used for crash-test or other more detailed local models simulating the interaction between bone tissue and clinical equipment such as prostheses. Concerning the studies investigating the effects of geometrical parameters and their combinations, we can cite the study of Sam Daliri et al [6, 7] who combined numerical and statistical analysis for the prediction of stress distribution and buckling of the cylindrical shell structures [8], analogous to humerus bone
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