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Stress formulation of elastic wave motion.
Christopher M Kube1, Andrew N Norris2
1Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA.
JASA Express Letters
|September 26, 2022
Summary
This study introduces a pure stress formalism to model elastic wave propagation in anisotropic solids, revealing new non-propagating stress solutions. This novel approach offers a different perspective for specific wave modeling challenges.
Area of Science:
- Solid Mechanics
- Wave Propagation
- Anisotropic Materials
Background:
- Modeling elastic wave propagation in anisotropic solids is complex.
- Traditional methods often rely on displacement formulations.
Purpose of the Study:
- To solve elastic wave propagation in anisotropic solids using a pure stress formalism.
- To offer an alternative perspective to existing wave modeling techniques.
Main Methods:
- Application of a pure stress formalism.
- Analysis of stress solutions derived from the formalism.
Main Results:
- Identified three expected wave solutions consistent with displacement formulations.
- Discovered three additional non-propagating stress solutions with zero wave speed.
- These non-propagating stresses do not satisfy strain compatibility conditions.
Conclusions:
- The pure stress formalism provides a new framework for understanding elastic wave propagation.
- This method offers a potentially advantageous approach for specific types of wave modeling problems.
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