Stationary shear flows of dense granular materials: a tentative continuum modelling.

نویسندگان

  • C Josserand
  • P-Y Lagrée
  • D Lhuillier
چکیده

We propose a simple continuum model to interpret the shearing motion of dense, dry and cohesion-less granular media. Compressibility, dilatancy and Coulomb-like friction are the three basic ingredients. The granular stress is split into a rate-dependent part representing the rebound-less impacts between grains and a rate-independent part associated with long-lived contacts. Because we consider stationary flows only, the grain compaction and the grain velocity are the two main variables. The predicted velocity and compaction profiles are in apparent qualitative agreement with most of the experimental or numerical results concerning free-surface shear flows as well as confined shear flows.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Modelling and numerical aspects of fluid-saturated granular materials: application to shear flows

Introduction: In the first part of this talk, we present an algorithm for the numerical treatment of twopressure, two velocity continuum models for heterogeneous, immiscible mixtures [1]. This algorithm has been employed in a numerical study of unsteady shear flows of fluid-saturated granular materials, as predicted by the continuum model of [2]. A representative sample of these results are pre...

متن کامل

Partially fluidized shear granular flows: continuum theory and molecular dynamics simulations.

The continuum theory of partially fluidized shear granular flows is tested and calibrated using two-dimensional soft particle molecular dynamics simulations. The theory is based on the relaxational dynamics of the order parameter that describes the transition between static and flowing regimes of granular material. We define the order parameter as a fraction of static contacts among all contact...

متن کامل

A new constitutive law for dense granular flows

In many geophysical or industrial applications involving flows of grains, a continuum description would be of considerable help, for example in predicting natural hazards or in designing industrial processes. However, constitutive equations for dry granular flows are still matter of debates 1-10. One difficulty is that grains can behave like a solid (in a sand pile), a liquid (when poured from ...

متن کامل

Analytical solution of the μ(I)−rheology for fully developed granular flows in simple configurations

Using the μ(I) continuum model recently proposed for dense granular flows, we study theoretically steady and fully granular flows in two configurations: a plane shear cell and a channel made of two parallel plates (Poiseuille configuration). In such a description, the granular medium behaves like a fluid whose viscosity is a function of the inertia. In the shear plane geometry our calculation p...

متن کامل

A frictional Cosserat model for the slow shearing of granular materials

A rigid-plastic Cosserat model for slow frictional flow of granular materials, proposed by us in an earlier paper, has been used to analyze plane and cylindrical Couette flow. In this model, the hydrodynamic fields of a classical continuum are supplemented by the couple stress and the intrinsic angular velocity fields. The balance of angular momentum, which is satisfied implicitly in a classica...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • The European physical journal. E, Soft matter

دوره 14 2  شماره 

صفحات  -

تاریخ انتشار 2004