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Updated: May 31, 2026
06:07
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Modelling nonlinear hydroelastic waves
1Lavryentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of Sciences, Lavryentyev pr. 15, Novosibirsk 630090, Russia.
Summary
This study models the interaction between a heavy elastic sheet and an ocean using Cosserat theory. It reveals two distinct wave speeds for the sheet and fluid in a two-dimensional traveling wave scenario.
Area of Science:
- Fluid dynamics
- Solid mechanics
- Wave theory
Background:
- Modeling the complex interaction between elastic structures and fluids is crucial for understanding phenomena like wave generation and propagation.
- Existing models often simplify either the fluid or the elastic behavior, limiting their applicability.
Purpose of the Study:
- To develop a comprehensive model for the interaction between a heavy thin elastic sheet and an underlying infinite ocean.
- To analyze the resulting wave dynamics, specifically focusing on two-dimensional traveling waves.
Main Methods:
- Utilizing the special Cosserat theory for hyperelastic shells, incorporating Kirchoff's hypothesis.
- Applying irrotational flow theory to describe the fluid dynamics of the infinite ocean.
- Developing a model that transitions from a general three-dimensional description to a specialized two-dimensional case using Eulerian coordinates.
Main Results:
- The model successfully captures the coupled behavior of the elastic sheet and the fluid.
- A special case of two-dimensional traveling waves was derived, exhibiting two distinct wave speed parameters.
- These parameters represent the independent wave speeds for the elastic sheet and the fluid, respectively.
Conclusions:
- The developed model provides a robust framework for studying elastic-fluid interactions.
- The identification of two distinct wave speeds highlights the complex interplay between the sheet's elasticity and the fluid's motion.
- This research offers insights into wave phenomena at the interface of elastic materials and fluids.
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