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Flexural Rigidity Measurements of Biopolymers Using Gliding Assays
Published on: November 9, 2012
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Energetic rigidity. II. Applications in examples of biological and underconstrained materials
Ojan Khatib Damavandi1, Varda F Hagh2, Christian D Santangelo1
1Department of Physics and BioInspired Institute, Syracuse University, Syracuse, New York 13244, USA.
Physical Review. E
|March 16, 2022
Summary
This study explores energetic rigidity in 2D systems. Second-order rigidity predicts the behavior of underconstrained spring networks and vertex models, while overconstrained jammed packings are first-order rigid.
Area of Science:
- Physics
- Materials Science
- Network Theory
Background:
- Energetic rigidity is crucial for understanding the mechanical properties of various physical systems.
- Traditional constraint counting methods often fail to predict rigidity in underconstrained systems.
Purpose of the Study:
- To apply a developed formalism to analyze energetic rigidity in two-dimensional systems.
- To investigate the predictive power of different orders of rigidity in various network models.
Main Methods:
- Analysis of underconstrained random regular spring networks.
- Examination of vertex models.
- Study of jammed packings of soft particles (spherical and aspherical).
Main Results:
- Second-order rigidity accurately predicts the rigidity of underconstrained spring networks and vertex models.
- Spherical jammed packings are first-order rigid, aligning constraint counting with energetic rigidity under small prestress.
- Aspherical jammed packings exhibit jamming at hypostaticity, suggesting a need for modified constraint counting.
Conclusions:
- The order of rigidity is critical for predicting mechanical stability in different network types.
- A modified constraint counting approach is proposed for systems energetically rigid at quartic order, particularly aspherical jammed packings.
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