Abstract
We present the numerical analysis of a series of cutting problems for a visco-plastic material. The model is implemented in a finite element program written in the flow formulation framework. Almost ideal plasticity is achieved as the limit case of a visco-plastic material. Solution dependence on the chosen initial configuration (the final one being not known) suggests non-uniqueness inherent to the visco-plastic material with free surfaces, since a residual rate dependence is conserved in the model.
References
W.SZCZEPIŃSKI, Introduction to the mechanics of plastic forming of metals, Sijthoff and Noordhoff, The Nederlands 1979.
H.PETRYK, Slip line field solutions for sliding contact, Proc. Inst. Mech. Engngs., Int. Conf. Tribology - Friction, Lubrication and Wear, Fifty Years On, II, 987-994, London 1987.
H.PETRYK, On the stability of non-uniquely defined processes of plastic deformations, J. Mechanique Théorique et Appliquée, 187-2021 spec. nr., 1982.
H.PETRYK, Non-unique slip-line field solutions for the wedge indentation problem, J. Mechanique Appliquée, 4, 3, 255-282, 1980.
O.C.ZIENKIEWICZ, Flow formulation for numerical solution of forming processes, [in:] Numerical Analysis of Forming Processes, J.F.PITMANN et al. [Eds.], Wiley 1984.
O.C..ZIENKIEWICZ, P.C.JAIN and E.ONATE, Flow of solids during forming and extrusion: some aspects of numerical solutions, Int. J. Solids' Structures, 14, 15-38, 1978.
H.J.ANTÚNEZ and S.R.IDELSOHN, Topics in numerical solution of isothermal and thermal-coupled forming processes, Latin American Applied Research, 20, 69-83, 1990.
R.HILL, On the state of stress in a plastic-rigid body at the yield point, Phil. Mag., 42, 868-875, 1951.
H.J.ANTÚNEZ, Análisis por elementos finitos del conformado de metales, con orientación a la laminación de tubos sin costura, Ph-D Dissertation, Universidad Nacional de Córdoba, Argentina 1990.
H.PETRYK, Slip line field solutions for sliding contact, Proc. Inst. Mech. Engngs., Int. Conf. Tribology - Friction, Lubrication and Wear, Fifty Years On, II, 987-994, London 1987.
H.PETRYK, On the stability of non-uniquely defined processes of plastic deformations, J. Mechanique Théorique et Appliquée, 187-2021 spec. nr., 1982.
H.PETRYK, Non-unique slip-line field solutions for the wedge indentation problem, J. Mechanique Appliquée, 4, 3, 255-282, 1980.
O.C.ZIENKIEWICZ, Flow formulation for numerical solution of forming processes, [in:] Numerical Analysis of Forming Processes, J.F.PITMANN et al. [Eds.], Wiley 1984.
O.C..ZIENKIEWICZ, P.C.JAIN and E.ONATE, Flow of solids during forming and extrusion: some aspects of numerical solutions, Int. J. Solids' Structures, 14, 15-38, 1978.
H.J.ANTÚNEZ and S.R.IDELSOHN, Topics in numerical solution of isothermal and thermal-coupled forming processes, Latin American Applied Research, 20, 69-83, 1990.
R.HILL, On the state of stress in a plastic-rigid body at the yield point, Phil. Mag., 42, 868-875, 1951.
H.J.ANTÚNEZ, Análisis por elementos finitos del conformado de metales, con orientación a la laminación de tubos sin costura, Ph-D Dissertation, Universidad Nacional de Córdoba, Argentina 1990.
