Abstract
For an ideal incompressible cohesionless granular material which satisifies the Coulomb-Mohr yield condition, simple shear flows, which incorporate gravity, are examined. Assuming double-shearing theory, a coupled system of partial differential equations is obtained for the velocity in the horizontal direction and a stress angle. This highly nonlinear coupled system is elliptic for compressive stresses. Three simple exact solutions are examined which, roughly speaking, arise due to simple invariances of the equations, such as a stretching invariance and translational invariances. These three simple solutions are the first truly time dependent solutions arising from double-shearing theory and are illustrated graphically in the context of simple problems. They exhibit behaviour that is qualitatively consistent with some observed effects in flows of dry granular materials
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call