# Dynamic Response Mechanism of Thin-Walled Plate under Confined and Unconfined Blast Loads

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## Abstract

**:**

## 1. Introduction

## 2. Experimental Approaches

#### 2.1. Material Properties

#### 2.2. Setup and DIC Technique

^{3}and weight of 98.4 g. And the TNT explosive was suspended in the inside center of the chamber (see Figure 3).

#### 2.3. Dynamic Response Process Obtained through 3D-DIC

## 3. Numerical Simulations

#### 3.1. Finite Element Model

^{®}[37]. The model for the UB load is shown in Figure 7a, in which the plate was fixed in both directions with a side length of 600 mm and thickness of 4 mm, and the explosive was placed above the plate center with 300 mm. The model for the CB load is shown in Figure 7b. A steel box model with a clear side length of 600 mm (as shown in the right picture of Figure 7b) was built to simulate a fully confined blast condition. The explosive was placed in the center of the box model.

#### 3.2. Material Model and Parameters

#### 3.3. Experimental Validation

## 4. Discussion

#### 4.1. Dynamic Response Processes

#### 4.2. Response Mechanism

## 5. Conclusions

- (a)
- The deformation features and dynamic response of typical ship steel plates under confined blast loads were analyzed through both experimental and numerical results. The results showed that outward bulging in the side plate center and in-plane buckling in the middle position of the boundary plates were observed in both the numerical and experimental results. The measured DIC curve and the numerically calculated curves are similar in both shape and peak value, and the period of oscillation of the numerical result fits well with the DIC result.
- (b)
- The dynamic responses of the steel plate under UB load and CB load were compared. The results showed that the dynamic response of the plate could be divided into three phases under both the UB and CB loads, while only the dynamic response in phases I and II were different.
- (c)
- Differing from starting at the center and propagating to the boundary in the case of the UB condition, in phase I, a plastic hinge in the CB condition occurred close to the boundary and propagated in the opposite direction. In phase II, two plastic hinge lines propagated towards each other, and a platform existed between the boundary while the center remained undeformed in the UB condition. While in the CB condition, a unique phenomenon of larger deformation in the peripheral region than the central area was produced. All these achievements can provide guidelines for the crashworthiness design of different kinds of defensive structures in ships and warships.

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

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**Figure 8.**Mesh size sensitivity analysis: (

**a**) pressure near the inner face of the plate center; (

**b**) resulting displacement of the plate center.

**Figure 10.**Deformation features of the experimental and numerical results: (

**a**) experimental result; (

**b**) simulated result.

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**MDPI and ACS Style**

Yao, S.; Chen, Y.; Sun, C.; Zhao, N.; Wang, Z.; Zhang, D.
Dynamic Response Mechanism of Thin-Walled Plate under Confined and Unconfined Blast Loads. *J. Mar. Sci. Eng.* **2024**, *12*, 224.
https://doi.org/10.3390/jmse12020224

**AMA Style**

Yao S, Chen Y, Sun C, Zhao N, Wang Z, Zhang D.
Dynamic Response Mechanism of Thin-Walled Plate under Confined and Unconfined Blast Loads. *Journal of Marine Science and Engineering*. 2024; 12(2):224.
https://doi.org/10.3390/jmse12020224

**Chicago/Turabian Style**

Yao, Shujian, Yikai Chen, Chengming Sun, Nan Zhao, Zhonggang Wang, and Duo Zhang.
2024. "Dynamic Response Mechanism of Thin-Walled Plate under Confined and Unconfined Blast Loads" *Journal of Marine Science and Engineering* 12, no. 2: 224.
https://doi.org/10.3390/jmse12020224