Experimental and numerical studies on dynamic behavior of reinforced UHPC panel under medium-range explosions
Introduction
Over the past several decades, the explosive effects that stem from terrorist attacks and industrial accidents have attracted increasingly more public concerns. The occurrence of explosions will threaten the safety of the surrounding building structures and lead to huge economic losses and extensive casualties. Therefore, it is of great significance to improve the blast-resistant performance of civil structures, especially for the strategically vital infrastructures, landmark buildings, and military or civil shelters, etc. Concrete is a widely applied construction material and the traditional normal strength concrete (NSC) structures have limited blast-resistance attributed to its low tensile capacity and energy absorption capacity. Comparably, ultra-high performance concrete (UHPC) is a relatively new type of cementitious material mixing with a very low water-to-binder ratio, high amount of high-range water reducer (HRWR), fine aggregates and high-strength steel or organic fibers. Due to its prominent mechanical properties, i.e., high compressive and tensile strengths, high ductility as well as the high fracture energy, UHPC is regarded as the most prominent construction materials for both civil and military structures to resist the intensive loadings, e.g., high-speed projectile penetration [1], [2], [1], low-velocity drop hammer impact [2], [3], [4], [5], [6], [7] and blast [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23]. The blast-resistant performance of reinforced UHPC panels is mainly concerned in the current study.
From the detailed review of the existing related work in Section 2, generally, the existing related work still has the following limitations: (i) Based on the plenty of the test data, Orton et al. [26] defined the scaled distance Z≤0.4m/kg1/3, 0.4<Z≤1.0m/kg1/3 and Z>1m/kg1/3 (Z=R/W1/3 is the scaled distance, R is the standoff distance from the explosive center to the structure surface, and W is the charge weight of the equivalent TNT explosive) as the close-, medium- and far-range explosion scenarios, respectively. Most of the existing work is either concerning the local damage and failure of UHPC panels under contact/close-in explosions or focusing on the dynamic performance of UHPC panels under far-range explosions, the related studies for the medium-range explosions are therefore insufficient; (ii) For the design of test setup, the existing test UHPC panels were usually constrained by a ground frame which is completely exposed to air and could not eliminate the effect of the diffracted blast waves on the rear face of the test panel. The boundary conditions of the test panel provided by the steel angles and wood stripes are not clear. Besides, attributed to the damage of the measuring sensors under intensive blast loadings, the systematic dynamic responses of panels, e.g., deflection- and acceleration-time histories, as well as the instantaneous incident and reflected blast overpressures are limited; (iii) KCC model [27] (*MAT_CONCRETE_DAMAGE_REL3, *MAT_72R3) embedded in LS-DYNA [28] is validated for capturing the complex concrete behaviors and predicting the structural dynamic responses under blast loadings with good accuracy [27], [28], [29]. The most significant user improvement provided by *MAT_72R3 is the model parameters auto-generated algorithm based solely on the unconfined compression strength of concrete. However, this parameter generation algorithm is proposed for NSC with the uniaxial compressive strength of 45 MPa. Therefore, the corresponding KCC constitutive model parameters for UHPC should be comprehensively calibrated, however, the related work is very lacked.
At present, in Section 3, three reinforced UHPC panels and three NSC control panels were fabricated and tested on a specially designed box-like blast loading apparatus to avoid the effect of the diffracted blast waves and provide the simply-supported boundary constraints, and the scaled distances of 4 kg TNT charges were ranged from 0.5 to 1.0 m/kg1/3. Various sensors were arranged to record the incident and reflected overpressure-time histories, deflection-and acceleration-time histories. Besides, by examining the damage of the post-blast panels, the blast-resistance of NSC and UHPC panels are evaluated quantitatively. Then, in Section 4, the refined FE models of the present test were established, and the KCC model parameters for UHPC were comprehensively calibrated. Finally, in Section 5, the applicability of the CONWEP method to predict the blast overpressures was firstly discussed, and then the simulated dynamic responses and damage of panels were compared systematically with the test results. The present conclusions can provide references in the design and analyses of UHPC protective structures under blast loadings.
Section snippets
Review of the existing work
As for the existing experimental studies, Li et al. [10] carried out the contact explosion test on seven reinforced NSC and UHPC slabs with the scaled distance Z of 0.043 m/kg1/3 and 0.06 m/kg1/3, respectively. The slabs with the dimensions of 2 m length, 0.8 m width, and 0.1-0.15 m thickness were tested on a steel frame provided a one-way support boundary condition. By assessing the spalling and cratering damage quantitatively, it was concluded that UHPC panels displayed significantly improved
Specimens
A total of six test specimens are fabricated in the current test, including three reinforced NSC panels and three reinforced UHPC panels, which are referred as NSC panels and UHPC panels hereinafter, respectively. The geometrical dimensions and the reinforcement of test panels are schematically shown in Fig. 1, in which two layers of 10 mm diameter mesh reinforcements with 100 mm spacing in the major bending plane and 200 mm spacing in the minor bending plane were placed, and the yield strength
Numerical simulation
In this section, the 3D FE models of the present test are established by using the commercial dynamic explicit code LS-DYNA [41]. Firstly, the effectiveness of the CONWEP method for predicting the blast loadings is validated by comparing with the experimental overpressure-time histories. Then the parameters of material models, especially for the KCC model of UHPC are calibrated. Finally, the corresponding numerical simulations are performed, and the prediction results are compared with the test
Overpressures
The numerical incident overpressure was obtained through the CONWEP software by inputting the charge type (TNT), charge mass (4 kg) and standoff distance (4.85 m, 4.96 m, and 7.75 m). As shown in Fig. 4 and Table 3, the CONWEP method can give a good prediction on the incident overpressure, for both the peak values and the time durations. Some deviations are induced by the shape of explosive, cylindrical charge is used in the test while CONWEP method is originally adopted for predicting
Conclusion and future work
The blast-resistance of the reinforced UHPC panels is studied experimentally and numerically in the present study, the main work and conclusions are drawn as follows:
- (1)
A box-like blast loading apparatus is designed to provide the one-way simply-supported boundary constraints for the test panels and avoid the effect of the diffracted blast waves. Six reinforced UHPC and NSC panels were fabricated and tested under medium-range explosions with different scaled distances from 0.5 to 1.0 m/kg1/3. The
Author Statement
The first author made the contributions to the experimental and numerical work, the second author has proposed the idea and innovation points of the present work, and the entire work was supported by the project undertaken by the second author. The experimental work was supervised by the third author, and the entire work was supervised by the fourth author.
Declaration of Competing interest
The authors declared that they have no conflicts of interest to this work.
Acknowledgments
The project was supported by the National Natural Science Foundations of China (52078379).
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