The material point method (MPM) has not been evaluated in a systematic manner for the fully coupled thermodynamic fluid–structure interaction (FSI) cases. Since the constitutive models and heat transfer in solid and fluid materials are quite different, a fully coupled computational scheme is designed in this paper for simulating the FSI with the MPM, in which the governing equations for both solid and fluid material points are related to each other. A simply supported beam with a temperature difference between the top and bottom, and a cantilever beam immersed in an isothermal fluid environment are firstly considered for demonstrating the reasonable agreement with available analytical solutions. The aforementioned beam samples are then, respectively, immersed in a fluid environment involving heat transfer to study the thermal effect on the dynamic structural responses. It is illustrated that the thermal effect would induce a thermal pressure wave propagating from the high- to low-temperature ends. Furthermore, this pressure wave would affect the vibration responses of both the cantilever and simply supported beams in different ways due to its wavefront direction that is, respectively, perpendicular and parallel to the longitudinal axis of the cantilever and simply supported beams. The thermal pressure waves with the two propagating directions would also affect the buckling and flexural behaviors, respectively. The obtained results demonstrate the potential of the proposed numerical scheme in evaluating fully coupled thermodynamic FSI responses such as composites subject to extreme loadings.

中文翻译：

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用材料点法研究热力学流固耦合的全过程

对于完全耦合的热力流固耦合（FSI）情况，尚未以系统的方式评估材料点方法（MPM）。由于固体和流体材料的本构模型和传热是完全不同的，因此本文设计了一种完全耦合的计算方案来模拟带有MPM的FSI，其中固体和流体材料点的控制方程与每个其他。首先考虑了在顶部和底部之间存在温差的简单支撑梁以及浸入等温流体环境中的悬臂梁，以证明与可用分析解决方案的合理一致性。然后分别将上述光束样本 浸入涉及热传递的流体环境中，以研究热对动态结构响应的影响。可以看出，热效应将引起从高温端到低温端传播的热压力波。此外，该压力波由于其波前方向，即分别垂直于和平行于悬臂和简单支撑梁的纵轴的波前方向，将以不同的方式影响悬臂和简单支撑梁的振动响应。具有两个传播方向的热压力波也将分别影响屈曲和挠曲行为。获得的结果证明了所提出的数值方案在评估完全耦合的热力学FSI响应（例如承受极限载荷的复合材料）中的潜力。