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arxiv: 2003.02358 · v2 · pith:5DDDO4CJnew · submitted 2020-03-04 · 🧮 math.AP

Equilibrium of immersed hyperelastic solids

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keywords solidsimmerseddiscussequilibriumhyperelasticanchoredapproachbodies
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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.

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