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Updated: Jan 3, 2026
06:07
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
13.5K
Strongly anisotropic surface elasticity and antiplane surface waves
V A Eremeyev1,2
1Faculty of Civil and Environmental Engineering Gdańsk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233 Gdańsk, Poland.
Summary
This study introduces a new surface elasticity model for anti-plane surface waves. Bending stiffness significantly alters wave propagation, offering insights for structured media dynamics.
Area of Science:
- Continuum Mechanics
- Surface Elasticity
- Wave Propagation
Background:
- Surface strain energy is modeled considering stretching and curvature changes.
- The model represents finite deformations of an elastic solid with a reinforced elastic membrane.
- Inspired by surface coatings with aligned bar-like elements, such as hyperbolic metasurfaces.
Purpose of the Study:
- To analyze the propagation of anti-plane surface waves within a novel surface elasticity model.
- To derive dynamic boundary conditions and present the linearized boundary-value problem.
- To investigate the influence of bending stiffness on wave dispersion relations.
Main Methods:
- Utilizing the least action variational principle to derive dynamic boundary conditions.
- Formulating and analyzing the linearized boundary-value problem for surface waves.
- Examining dispersion relations to understand wave propagation characteristics.
Main Results:
- The proposed surface elasticity model accounts for stretching and directional curvature.
- Dynamic boundary conditions were derived using a variational principle.
- Bending stiffness was identified as a critical factor influencing anti-plane surface wave dispersion and propagation.
Conclusions:
- The new model provides a framework for understanding surface wave behavior in structured media.
- Bending stiffness plays a crucial role in modifying surface wave dynamics.
- Findings are relevant for modeling dynamic phenomena in materials with aligned structural elements.
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