Macroscopic material properties from quasi-static, microscopic simulations of a two-dimensional shear-cell

By M. Lätzel, Stefan Luding, Hans Jürgen Herrmann. 2000

194 citations recorded by the source corpus.

Abstract One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from “microscopic” quantities like the contact forces in a granular assembly. Different averaging strategies are introduced, tested, and used to obtain volume fractions, coordination numbers, and fabric properties. We derive anew the non-trivial relation for the stress tensor that allows a straightforward calculation of the mean stress from discrete element simulations and comment on the applicability. Furthermore, we derive “elastic” (reversible) mean displacement gradient, based on a best-fit hypothesis. Finally, different combinations of the tensorial quantities are used to compute some material properties.The bulk modulus, i.e. the stiffness of the granulate, is a linear function of the trace of the fabric tensor which itself is proportional to the density and the coordination number. The fabric, the stress and strain tensors are not co-linear so that a more refined analysis than a classical elasticity theory is required.

Subfields: Computational Mechanics, Management, Monitoring, Policy and Law, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6ad60c54ad246d60455f0b7c6fadbd21037af498

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In Computational Mechanics

1. Stefan Luding
2. J. Gray
3. Jin Sun
4. Marte Gutierrez
5. Abdalsalam Mohamed
6. S. Sundaresan

In Management, Monitoring, Policy and Law

1. Stefan Luding

In Mechanics of Materials

1. Stefan Luding
2. Jin Sun
3. S. Sundaresan
4. Marte Gutierrez
5. Abdalsalam Mohamed

Citations in the corpus

• Influence of particle shape on sheared dense granular media (2006, unknown): “[20].”
• Introduction to discrete element methods (2008, background): “A set of the most basic force models is presented involving elasto-plasticity, adhesion, viscosity, static and dynamic friction as well as rolling- and S. Luding.”