Study on characteristics and simplified function of pedestrian head injury criterion (HIC) based on mathematical analysis

As an important evaluation reference of head injury, head injury criterion (hereinafter referred to as HIC) has been applied for more than 50 years. It is often cited not only in the automotive industry, but also in the fields of sports injury and medical biomechanism. Derived from the aggregate data of pedestrian protection test, this paper modelized six representative acceleration waveform and cubic function. In accordance with the methodology of mathematical and theoretical analysis, the HIC function has been simplified into an expression only related to the coefficients of the cubic function and verified. In the process, two inherent characteristics of HIC have been summarized, and a new method for solving HIC has been established.