Summary
The viscous shell approach combines the use of visco-plastic flow and classical shell theories. The paper presents the general aspects of the viscous shell formulation for axisymmetric and general 3-D shell problems using finite elements. Details of treatment of coordenate updating, friction effects, strain hardening and extensions to include the elastic deformations are also given together with some examples of application to the forming of axisymmetrical thin sheets of metal under hemispherical punches.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Zienkiewicz, O.C.: The finite element method, McGraw Hill, New York (1977).
Honnor, M.E. and Wood, R.D.: A finite element analysis of deep drawing, Proceedings of the Int. Conf. on Numerical Methods in Forming Processes, Pineridge Press (1982).
Kim, J.H.; Oh, S.I. and Kobayashi, S.: Analysis of stretching of sheet metals with hemispherical punch. Int. J. Mach. Tool Des., (1978) 18, pp. 209–226.
Gotoh, H.: A finite element analysis of general deformation of sheet metal, Int. J. Num. Meth. Engng. (1979), 8, pp. 731–741.
Wang, N.M. and Budianski, B.: Analysis of sheet metal stamping by a finite element method. J. Appl. Meth. Trans. ASME (1976), 45, pp. 73–85.
Wennerström, H.; Samuelson, A. and Mattiasson, K.: Finite element method for sheet metal stretching. Numerical Analys is of Forming Processes. J. Wiley (1984).
Key, S.W.; Krieg, D. and Bathe, K.J.: On the application of the finite element method to metal forming processes. Part I, Comp. Meth. App. Mech. Eng. (1979) 17 /18, pp. 597–608.
Mentha, H.S. and Kobayashi, S.: Finite element analysis and experimental investigation of sheet metal stretching. ASME J. Appl. Mech. (1973), 40, pp. 874–880.
Zienkiewicz, O.C. and Godbole, P.N.: Flow of plastic and viscoplastic solids with special reference to extrusion and forming processes, Int. J. Num. Meth. Engng. (1979), 8, pp. 3–16.
Zienkiewicz, O.C.; Jain, P.C. and Onate, E.: Flow of solids during forming and extrusion: Some aspects of numerical solution. Int. J. Solids Estruct. (1978), 14, pp. 15–38.
Zienkiewicz, O.C.; Rate, E. and Heinrich, J.C.: A general formulation for coupled thermal flow of metals using finite elements. Int. J. Num. Engng. (1981), 17, pp. 1497–1514.
Kobayashi, K.: Thermoviscoplastic analysis of metal forming problems by the finite element method. Numerical Analysis of Forming Processes. J. Wiley (1984).
Argyrus, J.H.; Doltsinis, J.St. and Wüstenberg, H.: Analysis of thermoplastic forming processes. Natural approach. Numerical Analysis of Forming Processes. J. Wiley, (1984).
Wang, N.M.: A rigid plastic rate sensitive finite element method for modelling sheet metal forming processes. Numerical Analysis of Forming Processes. J. Wiley (1984).
Thompson, E.G. and Berman, H.M.: Steady state analysis of elastoviscoplastic flow during rolling. Numerical Analysis of Forming Processes. J. Wiley (1984).
Onate, E.: Plastic flow of metals, I. Thermal coupling behaviour. II. Thin sheet forming. Ph.D. Thesis, University College of Swansea (1978).
Rate, E. and Zienkiewicz, O.C.: A viscous shell formulation for the analysis of this sheet metal forming. Int. J. Mech. Sc. (1983), 25, pp. 305–335.
Zienkiewicz, O.C.; Bauer, J.; Morgan, K. and Onate, E.: A simple and efficient element for axisymmetric shells. Int. J. Num. Meth. Engng. (1977), 11, pp. 1545–1559.
Zienkiewicz, O.C.; Taylor, R.L. and Too, J.M.: Reduced integration techniques in general analysis of plates and shells. Int. J. Num. Meth. Engng. (1971), 3, pp. 275–290.
Baynham, J.M.W. and Zienkiewicz, O.C.: Developments in the finite element analysis of thin sheet drawing and direct redrawing processes using the rigid/plastic approach. Proceedings Int. Conf. Num. Meth. in Industrial Forming Processes, Pineridge Press (1982).
Woo, D.M.: The stretch forming test. The Engineer (1965), pp. 876–889.
Woo, D.M.: On the complete solution of the deep drawing problem. Int. J. Mech. Sc. (1968), 10,pp. 83–94.
Ahmad, S.; Irons, B.M. and Zienkiewicz, O.C.: Analysis of thick and thin shell and plate structures. Int. J. Num. Meth. Engng. (1970), 2, pp. 419–451.
Dvorkin, E.N. and Bathe, K.S. A continuum mechanichs base four noded element for general non linear analysis. Engineering Computations, (1984), Vol. 1, n° 1.
Numerical Analysis of Forming Processes. J. Wiley (1984).
Proceedings of the International Conference on Numerical Methods in Industrial Forming Processes. Pineridge Press (1982).
Hughes, T.J.R. and Cohen, M. The heterosis finite element for plate bending. Computer and Structures, (1978), 9, pp. 445–450.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag, Berlin, Heidelberg
About this paper
Cite this paper
Oñate, E., Lama, R.P. (1986). Possibilities of the finite element viscous shell approach for analysis of sheet metal forming problems. In: Lange, K. (eds) Simulation of Metal Forming Processes by the Finite Element Method (SIMOP-I). Berichte aus dem Institut für Umformtechnik der Universität Stuttgart, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82810-2_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-82810-2_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16592-7
Online ISBN: 978-3-642-82810-2
eBook Packages: Springer Book Archive