Abstract
A numerical model for solving either elastic-plastic, elastic-viscoplastic or purely viscoplastic deformation of thin sheets is presented using a membrane mechanical approach.The Finite Element Method is used associated with an incremental updated Lagrangian procedure.The mechanical equations are the principle of virtual work written in terms of plane stress at the end of each increment and an incremental implicit flow rule obtained by the time integration of the constitutive relations over the increment.The examples given here are the computation of hemispherical punch stretching for the elastic-plastic behavior and the application to superplastic forming with the viscoplastic flow rule.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
BRAUDEL, H.J., ABOUAF, M., CHENOT, J.L. : An implicit and Incremental Formulation for the Solution of Elastoplastic problems by the F.E.M.Comp. and Struct., Vol 22, p. 801, (1986).
MASSONI, E., BELLET, M., ABOUAF, M., CHENOT, J.L.: Large Displacements Numerical Calculation of 3-Dimensional Elasto-plastic and Elasto-viscoplastic membrane by the F.E.M., Num. Meth. for Non lin. Prob. publ. by Pineridge Press, Vol 5, p. 480, (1986).
MASSONI, E., BELLET, M., CHENOT, J.L.: Elastic-Plastic Analysis of Thin Plates by the Finite Element Method in a Deep Drawing Process, Int. Conf.on Computational Plasticity, Barcelone, Pineridge Press, II, p. 901, (1987).
BELLET, M., MASSONI, E., CHENOT, J.L.: A Viscoplastic membrane formulation for the 3-Dimensional Analysis of Thin Sheet Metal Forming. Int. Conf.on Computational Plasticity, Barcelone, Pineridge Press, II, p. 917, (1987).
MASSONI, E., BELLET, M., CHENOT, J.L., DETRAUXJ.M., de BAYNAST, C.: A Finite Element Modelling for Deep Drawing of Thin Sheet in Automotive Industry. Advanced Technology of Plasticity. Edited by K.lange, Springer - Verlag, Berlin, II, p. 719, (1987).
MATTIASSON, K., S ARAN, M., MELANDER, A., SCHEDIN, C., GUSTAFSSON, C.: Finite Element Simulation of Deep Drawing of low and high strength Steel. Advanced Technology of Plasticity. Edited by K.Lange, Springer-Verlag, Berlin, 1, p. 557, (1987).
NAKAMACHI, E.: Finite Element Modeling of the Punch Press Forming of Thin Elastic-Plastic Plates, Numiform 86. Edited by K.Mattiasson, A. Samuelsson, R.D.Wood and O.C. Zienkiewicz, Balkema, Rotterdam, p. 333, (1986).
BELLET M.: Modélisation numérique du formage superplastique de tôles Thesis. Ecole Nationale Supèrieure des Mines de Paris. Mars (1988).
MASSONI.E : Modélisation numérique par éléments finis de l’emboutissage. Thesis. Ecole Nationale Supèrieure des Mines de Paris. Mars (1987).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Kluwer Academic Publishers
About this paper
Cite this paper
Massoni, E., Bellet, M., Chenot, J.L. (1988). Thin Sheet Forming Numerical Analysis With A Membrane Approach. In: Chenot, J.L., Oñate, E. (eds) Modelling of Metal Forming Processes. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1411-7_21
Download citation
DOI: https://doi.org/10.1007/978-94-009-1411-7_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7131-4
Online ISBN: 978-94-009-1411-7
eBook Packages: Springer Book Archive