Abstract
One common method for the approximation of occurring strains during plastic deformation is based on the application of the slip line theory. If the considered deformation process is well understood the related stress states can be estimated with sufficient accuracy using certain simplifying assumptions. A newly developed semi-analytical approach based on the slip-line theory and the application for metal forming processes is briefly presented in this subchapter.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cwiekala, T.: Entwicklung einer Simulationsmethode zur zeiteffizienten Berechnung von Tiefziehprozessen, Dr.-Ing. Dissertation TU Dortmund, Shaker-Verlag, ISBN 3844007016, 2011.
Oehler G, Kaiser F. Schnitt- Stanz- und Ziehwerkzeuge. Berlin: Springer-Verlag, 1975.
Doege E, Rambke M. Rechnergestützte Zuschnittsermittlung für Tiefziehteile, Blech, Rohre, Profile 42., p. 187–92, 1995.
Hill, R.: The mathematical theory of plasticity. Clarendon Press, Oxford 1950.
Prager, W.; Hodge, P.G.: Theorie idealplastischer Körper. Wien: Springer-Verlag, 1954.
Lange, K.: Umformtechnik – Band 3: Blechbearbeitung (2. Auflage). Springer-Verlag, Berlin Heidelberg, ISBN: 3540-50039-1, 1990.
Voelkner, W.: Zur theoretischen Spannungsermittlung beim Formpressen mit Grat, Wissenschaftliche Zeitschrift der TU Dresden 17, Heft 5, S. 1273–1281, 1968.
Glöckl, H.: Rechnerunterstützte Optimierung des Tiefziehens unregelmäßiger Blechteile, Ber. Nr. 68 Inst. f. Umformtechnik der Universität Stuttgart. Berlin, Heidelberg, New York, Tokyo: Springer-Verlag; 1983.
Kim, N.; Kobayashi, S.: Blank design in rectangular cup drawing by an approximate method. Int. J Mach Tool Des Res, 26(2):125–35, 1986.
Siebel, E. Die Formgebung im bildsamen Zustande, Düsseldorf, Verlag Stahleisen m.b.H., 1932.
Doege, E.; Behrens B. A.: Springub, B.: Improved analytical model for deep drawing processes of rotationally symmetric cups. Proc. NUMIFORM conference, 844–50, 2004.
Lee, CH.; Huh, H.: Blank design and strain estimates for sheet metal forming processes by a finite element inverse approach with initial guess of linear deformation. J. Mater. Process Technology, 82:145–55, 1998.
Guo, Y.Q.; Batoz, J.L.; et al.: Recent developments on the analysis and optimum design of sheet metal forming parts using a simplified inverse approach. Computers and structures 78, p. 133–148, 2000.
J. Lan, X. Dong, Z. Li: Inverse finite element approach and its application in sheet metal forming. J. Mater. Process. Technol. 170, pp. 624–631, 2005.
Cwiekala, T.; Brosius, A.; Tekkaya, A.E.; Grydin, O.; Schaper, M.; Bach, F.-W.; Barthel, C.; Svendsen, B.: Efficient Modelling and Simulation of Process Chains in Sheet Metal Forming and Processing. Steel research int. 79, No. 10, pp. 731–737, 2008.
Z. Marciniak, J.L. Duncan, S.J. Hu: Mechanics of Sheet Metal Forming, Butterworth-Heinemann, ISBN: 0 7506 5300 0, 2002.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Brosius, A., Cwiekala, T. (2015). Fast Semi-analytical Approach for Deep Drawing Processes. In: Tekkaya, A., Homberg, W., Brosius, A. (eds) 60 Excellent Inventions in Metal Forming. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46312-3_11
Download citation
DOI: https://doi.org/10.1007/978-3-662-46312-3_11
Published:
Publisher Name: Springer Vieweg, Berlin, Heidelberg
Print ISBN: 978-3-662-46311-6
Online ISBN: 978-3-662-46312-3
eBook Packages: EngineeringEngineering (R0)