Prediction Method of Structural Response in Underwater Explosion Environment Based on Scattered Field Theory

LI Shangming; LIANG Jin; YANG Zhilin

doi:10.7643/ issn.1672-9242.2026.05.001

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Equipment Environmental Engineering ›› 2026, Vol. 23 ›› Issue (5) : 1-6. DOI: 10.7643/ issn.1672-9242.2026.05.001

Weapons Equipment

Prediction Method of Structural Response in Underwater Explosion Environment Based on Scattered Field Theory

LI Shangming^1,2, LIANG Jin¹, YANG Zhilin¹

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Abstract

The work aims to establish a fluid-structure interaction (FSI) load prediction formula under the action of explosive shock waves and develop a scattered field-based structural response prediction method for underwater impact environments. The field separation technique was introduced to construct relationships between pressure and acceleration among shock waves, scattered waves, and structural responses on the FSI interface. A displacement-pressure coupled formulation was adopted to establish the FSI load prediction formula, thereby forming the scattered field-based structural response prediction method for underwater impact scenarios. Targeting the non-reflective characteristic of infinite water domains, the scaled boundary finite element method (SBFEM) was employed to construct non-reflective boundary conditions for infinite water domains which were integrated with the proposed prediction method. This integrated method enabled the prediction of structural responses for systems involving infinite water domains under underwater shock waves. By analyzing the structural response of a two-dimensional underwater cylindrical structure under planar shock waves, the scattered field solution exhibited good consistency with the total field solution and analytical solution. The results obtained from "large water domain" and "small water domain" models were nearly identical, verifying both mesh convergence and the rationality of simulating an "infinite" water domain. The proposed method demonstrated high correctness and applicability. The load prediction method of the shock wave facilitates the construction of non-reflective boundary conditions. The simulation of energy absorption in infinite water domains is conducted by coupling the finite element method (FEM) with SBFEM. Compared with the total field formula, this method avoids analyzing the propagation process of shock waves in infinite water domains before they reach structural surfaces.

Key words

scattered field / prediction method of underwater structural response / underwater shock wave / infinite water domain / SBFEM

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LI Shangming, LIANG Jin, YANG Zhilin. Prediction Method of Structural Response in Underwater Explosion Environment Based on Scattered Field Theory[J]. Equipment Environmental Engineering. 2026, 23(5): 1-6 https://doi.org/10.7643/ issn.1672-9242.2026.05.001

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Funding

National Natural Science Foundation of China (NSFC) project - General Program (12472171); National Natural Science Foundation of China Joint Fund - NSAF Key Fund (U2430201)