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In recent years supplemental inflatable restraint systems (airbags) have been installed in motor vehicles to mitigate driver/front passenger harm in vehicle frontal crashes. The performance of the airbag and the level of protection it provides the occupant can be evaluated by a combination of experimental and analytical techniques. Analytical modeling of airbag inflation is desirable in automotive design, particularly when the technique encompasses the airbag, occupant and vehicle structure in an integrated system. This paper is concerned with the development of nonlinear finite element (FE) technology to simulate airbag deployment and its interaction with an articulated occupant model. This technology is being developed in the dynamic large deformation Lagrangian based DYNA3D code which has been successfully used in vehicle crashworthiness simulations. The airbag material was simulated by an orthotropic “wrinkle free” membrane elastic model.

A 3-D finite element human head model has been developed to study the dynamic response of the human head to direct impact by a rigid impactor. The model simulated closely the main anatomical features of an average adult head. It included the scalp, a three-layered skull, cerebral spinal fluid (CSF), dura mater, falx cerebri, and brain. The layered skull, cerebral spinal fluid, and brain were modeled as brick elements with one-point integration. The scalp, dura mater, and falx cerebri were treated as membrane elements. To simulate the strain rate dependent characteristics of the soft tissues, the brain and the scalp were considered as viscoelastic materials. The other tissues of the head were assumed to be elastic. The model contains 6080 nodes, 5456 brick elements, and 1895 shell elements. To validate the head model, it was impacted frontally by a cylinder to simulate the cadaveric tests performed by Nahum et. al. (8).

A new three-dimensional human head finite element model, consisting of the scalp, skull, dura, falx, tentorium, pia, CSF, venous sinuses, ventricles, cerebrum (gray and white matter), cerebellum, brain stem and parasagittal bridging veins has been developed and partially validated against experimental data of Nahum et al (1977). A frontal impact and a sagittal plane rotational impact were simulated and impact responses from a homogeneous brain were compared with those of an inhomogeneous brain. Previous two-dimensional simulation results showed that differentiation between the gray and white matter and the inclusion of the ventricles are necessary in brain modeling to match regions of high shear stress to locations of diffuse axonal injury (DAI). The three-dimensional simulation results presented here also showed the necessity of including these anatomical features in brain modeling.

A deformable finite element dummy model was used to simulate air bag interaction with in-position passenger side occupants in frontal vehicle crash. This dummy model closely simulates the Hybrid III hardware with respect to geometry, mass, and material properties. Test data was used to evaluate the validity of the model. The calculated femur loads, chest acceleration and head acceleration were in good agreement with the test data. A semi-rigid dummy model (with rigid chest) was derived from the deformable dummy to improve turnaround time. Simulation results using the semi-rigid dummy model were also in reasonable agreement with the test data. For comparison purpose, simulations were also performed using PAMCVS, a hybrid code which couples the finite element code PAMCRASH with the rigid body occupant code. The deformable dummy model predicted better chest acceleration than the other two models.

Current finite element models of head impact involve a geometrically simplified fluid-filled shell composed of homogeneous, linear and (visco) elastic materials as the primary surrogate of the human skull and brain. The numerical procedure, which solves the mechanical response to impact, requires and presumes continuity of stress and displacement between elements, a defined boundary condition simulating the neck attachment and a known forcing function. Our critical review of the models discussed, primarily, the technical aspects of the approximations made to simulate the head and the limitations of the proposed analytical tools in predicting the response of biological tissue. The following critical features were identified as major factors which compromised the accuracy and objectivity of the models: - The brain was approximated by a fluid contained in an elastic or rigid shell with no provision for relative motion between the shell and fluid.

The mechanical response of a plane strain finite element model depicting an axial midsection of a human femur is investigated for both static and dynamic condylar loadings. An elastic bi-medium structure composed of compact and cancellous bone is used to represent the femur. Critically stressed locations are identified and associated static and dynamic load levels which may initiate femur fracture are calculated. The predicted fracture sites and load levels are found to be in good agreement with published data for cadaver knee impacts. An important conclusion of this investigation is that the peak stress or strain and therefore femoral tolerance significantly depends on the impact duration due to stimulation of structural resonances.