Plane strain hot rolling of slab and strip

A numerical solution of the steady-state plane strain hot rolling problem with maximum friction is found in the range from the thick slab to the thin strip rolling geometries. The problem is kinematically determinate, and it is solved on the physical and hodograph planes using the finite-difference...

Full description

Saved in:
Bibliographic Details
Published in:International journal of mechanical sciences 1999-11, Vol.41 (11), p.1401-1421
Main Author: Nepershin, R.I.
Format: Article
Language:English
Subjects:
Boundary value problems
Computer simulation
Differential equations
Finite difference method
Friction
Hodograph
Kinematics
Mathematical models
Maximum friction
Medium thickness
Plane strain hot rolling
Plastic flow
Problem solving
Rigid–plastic flow
Slipline field
Strip metal
Thick slab/strip
Thin strip
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A numerical solution of the steady-state plane strain hot rolling problem with maximum friction is found in the range from the thick slab to the thin strip rolling geometries. The problem is kinematically determinate, and it is solved on the physical and hodograph planes using the finite-difference approximation of hyperbolic differential equations of the plane strain rigid–plastic flow theory. A sequence of the boundary value problems defined by the slipline field mode is treated as a non-linear vector equation which is solved by Broyden’s secant method. Six versions of the FORTRAN PC programs are written for a wide range of the slab/strip rolling geometries. The solution for the thin strip rolling with large roll radius and small strip thickness reduction is approached to Prandtl’s thin plastic layer with homogeneous velocity field.
ISSN:0020-7403
1879-2162
DOI:10.1016/S0020-7403(98)00061-7