Equilibrium of immersed hyperelastic solids
Analysis of PDEs
2020-12-09 v2
Abstract
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.
Cite
@article{arxiv.2003.02358,
title = {Equilibrium of immersed hyperelastic solids},
author = {Manuel Friedrich and Martin Kružík and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:2003.02358},
year = {2020}
}