# Dynamics and wave propagation in dilatant granular materials

@article{Giovine1995DynamicsAW, title={Dynamics and wave propagation in dilatant granular materials}, author={Pasquale Giovine and Francesco Oliveri}, journal={Meccanica}, year={1995}, volume={30}, pages={341-357} }

The equations of motion for dilatant granular material are obtained from a Hamiltonian variational principle of local type in the conservative case. The propagation of nonlinear waves in a region with uniform state is studied by means of an asymptotic approach that has already appeared useful in an investigation on wave propagation in bubbly liquids and in fluid mixtures. When the grains are assumed to be incompressible, it is shown that the material behaves as a continuum with latent…

## 39 Citations

Micromechanical modelling of granular materials and FEM simulations

- PhysicsMeccanica
- 2018

We present a micro-mechanical continuum model used for the description of dilatant granular materials with incompressible rotating grains for which the kinetic energy, in addition to the usual…

Nonlinear waves in dissipative microstructured two-dimensional solids; 75–83

- PhysicsProceedings of the Estonian Academy of Sciences. Physics. Mathematics
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Plane Cosserat solids are introduced. It is shown that only one parameter is needed to describe intrinsic rotation. The field equations are simple enough to study the propagation of nonlinear waves…

Wave hierarchies in continua with scalar microstructure in the plane and spherical symmetry

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- 2008

Numerical Simulation of Interaction of Solitons and Solitary Waves in Granular Materials

- Physics
- 2010

A hierarchical Korteweg-de Vries type evolution equation is used for modelling of wave propagation in dilatant granularmaterials. The model equation is integrated numerically under sech2-type initial…

Extended granular micromechanics

- Geology
- 2017

We analyze an extended mechanical model in the conservative case in order to describe a dilatant granular material with rotating grains for which the kinetic energy, in addition to the usual…

On the propagation of localized perturbations in media with microstructure; 84–92

- PhysicsProceedings of the Estonian Academy of Sciences. Physics. Mathematics
- 2007

The propagation of solitary waves in dilatant granular materials is studied using the hierarchical Korteweg–de Vries type evolution equation. The model equation is solved numerically under localized…

Nonclassical Thermomechanics of Granular Materials

- Materials Science
- 1999

The description of the flow of a granular material with rigid grains requires a combination of suggestions from both fluid and solid mechanics owing to the fact that the material has an essentially…

Microstructured continua and scaling for wave motion

- Mathematics
- 2013

This paper deals with wave motion in microstructured solids. A short introduction explains how the basic mathematical models for description of microstructure(s) of solids are derived. Based on the…

On solitons in microstructured solids and granular materials

- PhysicsMath. Comput. Simul.
- 2005

Formation and Detection of Solitonic Waves in Dilatant Granular Materials : Potential Application for Nonlinear NDT

- Physics
- 2016

In this paper, wave propagation in dilatant granular material, modelled with the hierarchical Korteweg–de Vries equation, is simulated numerically using a cnoidal initial wave. It is found that the…

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