Hyperelastic or Hypoelastic Granular Circular Chain Instability in a Geometrically Exact Framework
Publication: Journal of Engineering Mechanics
Volume 148, Issue 9
Abstract
This paper investigates several granular interaction laws used in the modeling of discrete granular media. In the considered model, each grain interacts with its neighbors with a coupled shear-normal interaction law. The analysis is performed in a geometrically exact framework allowing large rotation and displacement evolutions, without any geometrical approximations. It is shown that most of the granular interaction laws available in the literature are classified as hypoelastic interaction laws, and we precise the requirements to build some hyperelastic interaction laws that avoid artificial dissipation. We also show that the uncoupled granular interaction law is hyperelastic for all the studied models. The analysis is applied to a paradigmatic elementary system of a granular loop with a diamond pattern (a four-grain cyclic granular chain) loaded by concentrated forces. Instabilities are observed for large displacement of the diamond chain for all the classified models. It is observed that the discrepancies between each model may grow during the deformation process. The instability phenomenon is associated with the appearance of a limit load for this granular structural problem due to large nonlinear geometrical effects. Blocking phenomena may also appear for such granular structural systems due to secondary granular contacts.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 148 • Issue 9 • September 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Feb 22, 2022
Accepted: May 2, 2022
Published online: Jul 12, 2022
Published in print: Sep 1, 2022
Discussion open until: Dec 12, 2022
ASCE Technical Topics:
- Continuum mechanics
- Coupling
- Design (by type)
- Displacement (mechanics)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Geometrics
- Grain (material)
- Granular materials
- Highway and road design
- Material mechanics
- Material properties
- Materials engineering
- Motion (dynamics)
- Nonlinear analysis
- Rotation
- Solid mechanics
- Structural analysis
- Structural engineering
- Structural mechanics
- Structural members
- Structural systems
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