Head injuries, especially concussions, have become a subject of deep concern particularly in contact sports such as American Football. There is always a need to improve the design of football helmets in order to lower the risk of concussion. In this research, we developed a mathematical model to physically describe the head and helmet together against an impact load. The mechanical properties of helmet materials were obtained through compression tests and hysteresis loop experiments. These experimental data along with biomechanical data of head and brain available in literature were incorporated into our modeling and analysis. A code was developed to conduct impact analysis and the results are illustrated and discussed accordingly.

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