Mapping function model representing the relationship between explosion shock wave pressure and wavefront temperature

The evaluation of ammunition damage power and guidance for ammunition design heavily relies on the shock wave pressure and wavefront temperature produced by an ammunition explosion. However, temperature test results are often inaccurate and unreliable. Therefore, this study utilized Autodyn explicit dynamics simulation software to conduct finite element numerical simulations of explosion shock wave pressure, wavefront temperature propagation, and distribution for trinitrotoluene explosives weighing 10, 20, 50, and 100 kg. The shock wave pressure and wavefront temperature were measured at different measuring points. The cloud maps of wavefront propagation evolution obtained at different explosion times were analyzed to determine the attenuation laws of pressure and temperature propagation in the near field and far field. Based on the similarity law of explosions and the dimensional analysis method, a mapping function model was established to represent the relationship between a shock wave’s peak pressure and peak temperature. The parameters of the model include explosive mass (w), measuring point radius (r), specific heat capacity in the air (c), and the peak pressure of an explosion shock wave (p). The model’s accuracy in calculating the explosion shock wavefront temperature exceeds 89.75%, effectively resolving the issue of low accuracy in the results of explosion field temperature tests and calculations. Therefore, this study provides data and theoretical support for testing and evaluating the damage power of ammunition explosives, and the proposed model has high applicability in the engineering field.