Equilibrium of immersed hyperelastic solids

DOI10.3934/dcdss.2021003zbMath1479.49102arXiv2003.02358OpenAlexW3119646322MaRDI QIDQ2062942

Manuel Friedrich, Ulisse Stefanelli, Martin Kružík

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02358

zbMATH Keywords

equilibriumhydrostatic pressurehyperelastic solid

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05)

Cites Work

• Unnamed Item
• Unnamed Item
• Criteria for floating. I
• Capillarity and Archimedes' principle
• Lectures on mappings of finite distortion
• Archimedes revisited
• The modeling of deformable bodies with frictionless (self-)contacts
• A variational formula for floating bodies
• A general existence theorem for symmetric floating drops
• Injectivity and self-contact in nonlinear elasticity
• Mathematical theory of evolutionary fluid-flow structure interactions
• Fluid-structure interactions. Models, analysis and finite elements
• A phase-field approach to Eulerian interfacial energies
• Some comments on floating and centroid bodies in the plane
• Floating Bodies of Equilibrium
• Mathematical Methods in Continuum Mechanics of Solids
• On the motion of floating bodies. I
• Quasistatic evolution for dislocation-free finite plasticity
• Floating criteria in three dimensions

This page was built for publication: Equilibrium of immersed hyperelastic solids