We discuss different equilibrium problems for hyperelastic solids immersed in a fluid at rest. In particular, solids are subjected to gravity and hydrostatic pressure on their immersed boundaries. By means of a variational approach, we discuss free-floating bodies, anchored solids, and floating vessels. Conditions for the existence of local and global energy minimizers are presented.

中文翻译：

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浸入式超弹性固体的平衡

我们讨论了浸入静止流体中的超弹性固体的不同平衡问题。特别是，固体在其浸没边界上受到重力和静水压力。通过变分方法，我们讨论了自由漂浮体、锚固固体和漂浮容器。介绍了局部和全局能量最小化器存在的条件。