Introducing a New Relation for Calculating the Explosion Wave Decay Coefficient

Today, due to the increase in terrorist attacks and the need to protect structures and infrastructure against these threats, especially explosive threats, the issue of analyzing the response of structures against these loads is one of the topics of the day. One of the important parameters in analyzing the response of structures is the nature and mode of the impact of the explosive load. This can be seen in the relation presented for explosive pressure in theoretical analyzes. According to the Friedlander relation, the blast pressure decreases exponentially over time, and various relations are proposed to calculate the decay coefficient of the exponential function (such as the Kinney-Graham method, the Ismail-Murray method, the Karlos- Solomosand method, etc). This coefficient indicates how the slope rate of the explosion wave time pressure graph decreases. In this paper, by examining other existing methods for calculating the decay parameter, a new relationship for the explosion pressure reduction parameter in the near and far range is presented; A comparison is also made between the relationship observed in this study and other relationships presented for the blast wave decay coefficient. The results showed that the decay parameter presented in this study with high accuracy can calculate the actual explosion pressure and this leads to a better analysis of structures against explosive threats. In this research, the high accuracy of the calculated relationships for the decay coefficient has been investigated in three ways: A) Based on the regression coefficient of fitted graphs, the value of R2 is close to one; B) by the comparison between the values of the calculated decay coefficient with other existing relations; C) Based on the actual blast pressure calculated in two numerical examples.