Existing studies of bubble-structure interaction mainly focus on the interaction between a bubble and a movable rigid body or deformable linear elastic structure. The strong nonlinear interaction of a bubble with an elastic-plastic plate has rarely been studied while the inherent dynamic behavior is not clear. In this paper, we develop a three-dimensional fully coupled model to investigate the interaction between a bubble and an elastic-plastic thin-walled plate, which can consider the fluid disturbance on both sides of the thin-walled plate. In this developed model, the dynamic behaviors of the bubble are obtained by the boundary integral method based on the potential flow theory, and the nonlinear elastic-plastic responses of the structure are resolved by the explicit finite element method on the basis of the Mindlin-Reissner plate theory. The structural nonlinear responses are incorporated into the fluid boundary integral equation (BIE), and the extra relation between the ${\varphi }_t$ (time derivative of velocity potential) jump across the two sides of the thin-walled plate and its normal derivative ${\varphi }_{tn}$ is derived, which can describe the hydrodynamic balance on both sides of the submerged plate. The derived relation is added to the BIE about ${\varphi }_t$, so that the bubble loading acting on the plate can be accurately calculated. The established coupled model is validated by comparing with experimental results. Using this numerical model, the influence of the standoff distance and plate thickness on the bubble-plate interaction is discussed. Subjected to the violent loading from the bubble, the oscillation characteristics and elastic-plastic deformation of the plate are analyzed. Due to the elastic-plastic effects of the plate, the bubble can display different interesting featured patterns, including attractive motion, repulsive motion, or splitting.

中文翻译：

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用于模拟弹塑性薄壁板附近气泡的高度非线性动力学行为的全耦合模型

气泡-结构相互作用的现有研究主要集中在气泡与可移动的刚体或可变形的线性弹性结构之间的相互作用。很少研究气泡与弹塑性板的强非线性相互作用，而固有的动力学行为尚不清楚。在本文中，我们开发了一个三维完全耦合模型，以研究气泡与弹塑性薄壁板之间的相互作用，该模型可以考虑薄壁板两侧的流体扰动。在这个开发的模型中，气泡的动态行为是基于势流理论的边界积分方法获得的，结构的非线性弹塑性响应在Mindlin-基础上通过显式有限元方法得到了解决。 Reissner板理论。${\varphi }_{Ť}$ （速度势的时间导数）越过薄壁板的两侧及其法线导数 ${\varphi }_{Ťñ}$推导得出，它可以描述浸没板两侧的水动力平衡。派生的关系被添加到有关${\varphi }_{Ť}$，以便可以准确计算作用在板上的气泡载荷。通过与实验结果进行比较来验证所建立的耦合模型。使用该数值模型，讨论了支座距离和板厚对气泡-板相互作用的影响。受到气泡的剧烈载荷，分析了板的振动特性和弹塑性变形。由于板的弹塑性作用，气泡可以显示不同的有趣特征图案，包括吸引运动，排斥运动或分裂。