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Updated: Aug 9, 2026
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Microfluidic Mixers for Studying Protein Folding
Published on: April 10, 2012
The dynamics of folding instability in a constrained Cosserat medium
Panos A Gourgiotis1, Davide Bigoni2
1School of Engineering and Computing Sciences, Durham University, South Road, Durham DH1 3LE, UK.
Summary
Generalized continua, specifically constrained Cosserat materials, can model folding in solids. This study reveals how folding patterns influence wave propagation, enabling new applications in materials with origami-like deformations.
Area of Science:
- Solid Mechanics
- Continuum Mechanics
- Wave Propagation
Background:
- Cauchy elastic materials have limitations in modeling complex deformations.
- Generalized continua offer advanced modeling capabilities for anisotropic materials.
- Constrained Cosserat materials exhibit unique orthotropy properties.
Purpose of the Study:
- To investigate the spontaneous emergence of folding patterns in anisotropic solids.
- To analyze the interaction between folding and wave propagation in constrained Cosserat materials.
- To develop a Green's function for modeling wave phenomena in these materials.
Main Methods:
- Modeling folding as a failure of ellipticity in constrained Cosserat materials.
- Derivation of an antiplane, infinite-body Green's function.
- Analysis of wave propagation in the time-harmonic domain.
Main Results:
- Folding spontaneously emerges in strongly anisotropic solids near the failure of ellipticity.
- The derived Green's function demonstrates folding transforms wave disturbances.
- Wavefronts become parallel to the folding pattern under specific conditions.
Conclusions:
- Constrained Cosserat solids can exhibit extreme orthotropy, leading to folding.
- Folding significantly alters wave propagation characteristics.
- This research opens possibilities for wave manipulation in materials with origami-like structures.
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