Premium
Flow of plastic and visco‐plastic solids with special reference to extrusion and forming processes
Author(s) -
Zienkiewicz O. C.,
Godbole P. N.
Publication year - 1974
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620080102
Subject(s) - extrusion , mechanics , rheology , plasticity , stream function , finite element method , materials science , newtonian fluid , slip (aerodynamics) , flow (mathematics) , forming processes , viscoelasticity , viscosity , composite material , thermodynamics , physics , vorticity , vortex
When large, progressive, deformation occurs under plastic or visco‐plastic conditions, elastic deformations are negligible and the material flows in a viscous manner. The flow is non‐Newtonian and the viscosity is a function of the current strain rates. An effective numerical treatment of such non‐Newtonian flow by the finite element method is indicated here and is illustrated by examples of an extrusion process for which approximate slip line solutions are known. The methodology is extended to the solution of transient, quasi‐static situations and coupling with thermodynamic equations is discussed. A stream function formulation of the problem is used.