# Construction of a Dimensional Damage Model of Reinforced Concrete Columns under Explosion Loading
The influence of various parameters of the column on the interaction between the explosive shock wave and the structural column, in addition to the law of the explosive load acting on the column, was studied. The influence of the proportional distance on damage to the column was put forward, with the peak displacement of the column as the evaluation standard. Based on finite element simulation software, [PERSON] [14] studied the relationship between two damage indexes (i.e., lateral residual displacement and vertical residual bearing capacity) under the influence of different factors and fitted the damage degree index of vertical bearing capacity under different variables. The formulas of the longitudinal reinforcement ratio, section width and lateral residual displacement can be used to evaluate the damage degree of reinforced concrete columns at the scene of an explosion accident. Based on a theoretical analysis and numerical simulations, [PERSON] et al. [15] studied the variation in anti-explosion performance of reinforced concrete columns with the axial force and slenderness ratio and provided a reference for the evaluation of the damage degree of reinforced concrete columns under explosion loading. [PERSON] et al. [16] obtained a large number of original test data from the field through testing the equal proportion of reinforced concrete columns under explosion loads under different working conditions, which provided a theoretical basis for subsequent scholars to carry out numerical simulation analysis. [PERSON] et al. [17] proposed a simple analysis model to evaluate the compressive arching effect of reinforced concrete beams under the middle column removal scenario. The model considers more comprehensive factors and has a good accuracy in predicting the bearing capacity, displacement and maximum beam compression force of compressive arches. [PERSON] et al. [18] proposed a graphical and easy-to-use tool to determine the beam column joint sizes available at the initial stage of the reinforced concrete building design process. At the same time, the paper presents a nomogram related to the reinforcement ratio coefficient including seven different concrete grades and covering most of the joints, which is convenient for users to customize the nomogram according to their own needs. [PERSON] et al. [19] carried out quasi-static large displacement tests under different demolition schemes on the same reinforced concrete slab substructure and studied the influence of different demolition schemes on the peak pressure, ultimate bearing capacity and displacement of the column. In summary, some scholars have studied the influence of column end constraint conditions on the damage to reinforced concrete column structures under blast impacts, and the scaled distance Z has been introduced to propose a critical reduced distance. This shows that when the reduced distance reaches a critical value, the column is less affected by the blast load; a large number of scholars, led by [PERSON] [5], have studied the influence of various factors on reinforced concrete columns under explosive loading and analyzed the influence of various factors on the damage to the column. No scholars have put forward a more detailed relationship between the explosion factor and the damage to the column. Under explosion loading, the damage degree of reinforced concrete column structures can be characterized by the column disturbance before the explosion [20; 21; 22; 23; 24; 25; 26; 27]. In this paper, the dimensional analysis method is used to study the relationship between the maximum disturbance of a reinforced concrete column under explosive loading and the explosion equivalent and the initiation distance, and a theoretical model function is obtained. The finite element simulation software LS-DYNA was used to carry out the numerical simulations of the damage to the column under different explosion equivalents and explosion distances.