When a cylindrical tool cuts through a thin sheet of a relatively brittle material, it leaves behind a visually arresting crack street in its wake, reminiscent of a vortex street in the wake of a cylinder moving through a fluid. We show that simple geometrical arguments based on the interplay of in-plane stretching and out-of-plane bending suffice to explain the cycloidal morphology of the curv...

In this article, we develop a new implicit constitutive relation, which is based on thermodynamic foundation that relates the Hencky strain to Cauchy stress, by assuming structure for Gibbs potential stress. We study tension/compression of cylinder, biaxial stretching thin plate and simple shear within context our relation. then compare predictions relation Ogden’s with experiments Treloar conc...

The steady flow of a micropolar fluid, due to a stretching cylinder, is considered. The equations of motion are reduced to a system of ordinary differential equations, which in turn are solved numerically using SOR iterative procedure and Simpson's (1/3) rule, for three different combinations of the three dimensionless parameters involved. Results are calculated, for the range 0.1 to 100 of the...