Skip to main content
Log in

Parameter sensitivity analysis in frictional contact problems of sheet metal forming

  • Originals
  • Published:
Computational Mechanics Aims and scope Submit manuscript

Abstract

Influence of frictional contact effects on parameter variations of some nonlinear behaviour is studied. The flow approach to deep drawing simulation is taken as the underlying nonlinear mechanics problem. Theoretical considerations are followed by the discussion of computational aspects. In particular, difficulties resulting from parameter nondifferentiability of the response at some points along the deformation path are indicated and discussed in the computational context. An advanced numerical illustration is given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • AntunezH. J.; IdelsohnS. R. 1990: Topics in numerical solution of isothermal and thermal-coupled forming processes, Latin Amer. Appl. Res. 20: 69–89

    Google Scholar 

  • BaniotopoulosC. C.; AbdallaK. M. 1995: Sensitivity analysis results on the separation problem of bolted steel column-to-column connections, Int. J. Solids Structures 32 (2): 251–265

    Google Scholar 

  • BendsoeM. P.; OlhoffN.; SokolowskiJ. 1985: Sensitivity analysis of problems of elasticity with unilateral constraints, J. Struct. Mech. 13 (2): 201–222

    Google Scholar 

  • Chen, X. 1994: Nonlinear finite element sensitivity analysis for large deformation elastoplastic and contact problems, Ph. D. Thesis, Univ. of Tokyo, Japan

  • Chen, X.; Hisada, T.; Kleiber, M.; Noguchi, H. 1992: Comparison of different sensitivity analysis algorithms for large deformation elasto-plastic problems, Design Sensitivity Analysis, in Kleiber, M.; Hisada, T. eds, Atlanta Technology Publications 52-67

  • Haftka, R. T.; Gurdal, Z. 1992: Elements of Structural Optimalization, Kluwer Academic Publishers

  • KleiberM. 1993: Shape and nonshape structural design sensitivity analysis for problems with any material and kinematic nonlinearity, Comp. Meth. Appl. Mech. Eng. 81: 183–208

    Google Scholar 

  • MichalowskiR.; MrozZ. 1978: Associated and non-associated sliding rules in contact friction problems, Archives of Mechanics 30: 259–276

    Google Scholar 

  • Oñate, E.; Agelet de Saracibar, C. 1992: Numerical modelling of sheet metal forming problems in P. Hartley et al. (Eds.), Numerical Modelling of Material Deformation Process, Spinger-Verlag

  • OñateE.; KleiberM.; Agelet de SaracibarC. 1988: Plastic and viscoplastic flow of void containing metals: Applications to axisymmetric sheet forming problems, Int. J. Num. Meth. Engng: 25: 225–251

    Google Scholar 

  • OñateE.; ZienkiewiczO. C. 1983: A viscous shell formulation for the analysis of thin sheet metal forming, Int. J. Mech. Sci. 25: 305–335

    Google Scholar 

  • SosnowskiW. 1993: Approximate friction treatment in sheet metal forming simulation, Archives of Mechanics 45 (5): 595–614

    Google Scholar 

  • SosnowskiW. 1994: Flow approach-finite element model for stamping processes versus experiment, Computer Assisted Mechanics and Engineering Sciences 1: 49–75

    Google Scholar 

  • TsayJ. J.; AroraJ. S. 1990: Nonlinear structural design sensitivity analysis for path dependent problems Part I General theory, Comp. Meth. Appl. Mech. Eng. 81: 183–208

    Google Scholar 

  • VidalC. A.; HaberR. B. 1990: Design sensitivity analysis for rate independent elasto-plasticity, Comp. Meth. Appl. Mech. Eng. 81: 183–208

    Google Scholar 

  • Wriggers, P.; Simo, J. C.; Taylor, R. L. 1985: Penalty and augmented Lagrangian Formulations for contact problems, Proc. NUMETA'85 A. A. Balkena, 97–106

  • WriggersP.; VuVanT.; SteinE. 1990: Finite elements formulation of large Deformation Impact-Compact problems, 37: 319–331

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by S. N. Atluri, 11 April 1995

The research on which this paper is based was partly supported by the Polish Committee for Scientific Research (KBN) under grants No 3P40401804 and 7 T08B 007 08 to the Institute of Fundamental Technological Research, Polish Academy of Sciences, and by the International Center for Numerical Methods in Engineering (CIMNE), University Polytechnics of Catalunya, Barcelona, Spain.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kleiber, M., Sosnowski, W. Parameter sensitivity analysis in frictional contact problems of sheet metal forming. Computational Mechanics 16, 297–306 (1995). https://doi.org/10.1007/BF00350719

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00350719

Keywords

Navigation