Rectangular Plates Subjected to Blast Loading : the Comparison Between Experimental Results, Numerical Analysis and Simplified Analytical Approach

Abstract

The purpose of the present work was to compare the well-documented results of experiments on steel rectangular plates subjected to blast loading, carried out by Jones, Uran and Tekin [1], with the explicit finite element analysis (ABAQUS/Explicit [2]) and the simplified analytical solution, based on a kinematic approach. This study was undertaken in order to establish the conclusions concerning the possible application of the simplified approach, and evaluate the capacity of material modelling in ABAQUS/Explicit in a case of extremely high velocities of deformation

Analysis Method for Reinforcing Circular Openings in Isotropic Homogeneous Plate-Like Structures Subjected to Blast Loading

“…is is also indirect verification of the concentrated peak bending moments given by (14), (24a), and (24b), and the Table 2: Combinations of σ ∞ and θ for use in (11) for obtaining the peak bending stress distributions along the r x and r y radial distances.…”

“…e radial distance r xp over which yielding occurs can be solved by substituting the known constants into (12), setting the result equal to σ Y , solving for r x , and subtracting a. Equation 12may then be substituted into (14) to obtain the concentrated peak bending moment. e summation term in (14) may be readily solved in spreadsheet form by summing the values of σ θ at each incremental length Δr x along the radial distance r xp .…”

“…Reinforcement is not required if the peak elastic bending stress given by (22a) and (22b) does not exceed σ Y . e derived formulas (12), (14), (22a), (22b), (24a), and (24b) employ several assumptions for the purpose of functionality. e formulas assume isotropic homogeneous, linear elastic-perfectly plastic material properties and neglect the elastoplastic transition phase through the plate-like structure thickness.…”

“…e peak displacement was then substituted into (12), (22a), or (22b) and the resulting peak bending stress distribution along r x or r y was compared to the FEA results. Finally, the concentrated peak bending moments were calculated using (14), (24a), or (24b) for use in designing any required reinforcement around the circular openings. e overall numerical verification procedure is outlined in Figure 14.…”

“…Importantly, the performance of the building envelope, essentially glazing and glass facades, under air blast has been researched [7,8]. In direct relation to this paper, the dynamic behavior of metallic plate-like structures subjected to blast loading has been extensively investigated through analytical, numerical, and experimental studies [9][10][11][12][13][14][15][16][17][18]. At present, blast-resistant design is standardized in several publications including ASCE 59-11 Blast Protection of Buildings [1] and UFC 3-340-02 Structures to Resist the Effects of Accidental Explosions [19].…”