THE NUMERICAL APPROXIMATION TO SOLUTIONS FOR THE DOUBLE-SLIP AND DOUBLE-SPIN MODEL FOR THE DEFORMATION AND FLOW OF GRANULAR MATERIALS

UoM administered thesis: Phd

  • Authors:
  • Nor Alisa Mohd Damanhuri

Abstract

The aim of this thesis is to develop a numerical method to find approximations to solutions of the double-slip and double-spin model for the deformation and flow of granular materials. The model incorporates the physical and kinematic concepts of yield, shearing motion on slip lines, dilatation and average grain rotation. The equations governing the model comprise a set of five first order partial differential equations for the five dependent variables comprising two stress variables, two velocity components and the density. For steady state flows, the model is hyperbolic and the characteristic directions and relations along the characteristics are presented. The numerical approximation for the rate of working of the stresses are also presented. The model is then applied to a number of granular flow problems using the numerical method.

Details

Original languageEnglish
Awarding Institution
Supervisors/Advisors
  • David Harris (Supervisor)
  • John Gray (Supervisor)
Award date1 Aug 2017