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Sensitivity analysis of transient metal forming with incompressible linear elements

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Konferencja
Polish Conference on Computer Methods in Mechanics (14 ; 26-29, 1999 ; Rzeszów, Poland)
Języki publikacji
EN
Abstrakty
EN
On the basis of a recently developed method which allows the use of linear elements for metal forming simulation within the flow approach, sensitivity analysis is carried out. Aiming at large, industrial problems, attention is focused on the explicit version, which is considered more effective for such problems, although implicit time integration is possible as well. By time step splitting a stabilization sub-matrix is obtained, which allows the use of equal interpolation for velocity and pressure. Specifically, linear triangles and tetrahedra have been used, which are easily generated by automatic meshers. Sensitivity analysis is carried out by the Direct Differentiation Method, with which similar analyses have been performed by the author for the flow approach within a direct solution scheme.
Rocznik
Strony
449--460
Opis fizyczny
Bibliogr. 12 poz., rys., wykr.
Twórcy
  • Institute of Fundamental Technological Research of Polish Academy of Sciences [Instytut Podstawowych Problemów Techniki PAN], ul. Świętokrzyska 21, 00-049 Warsaw, Poland
Bibliografia
  • [1] H. J. Antimez. Linear elements for metal forming problems within the flow approach. Comput. Methods Appl. Mech. Engrg., 190(5-7): 783-801, 2000.
  • [2] H. J. Antimez. Thermo-mechanical modelling and sensitivity analysis for metal-forming operations. Comput. Methods Appl. Mech. Engrg., 161: 113-125, 1998.
  • [3] H. J. Antimez, M. Kleiber. Parameter sensitivity of metal forming processes. Comput. Assisted Mech. Eng. Sci.,
  • [4] H. J. Antimez, 0. C. Zienkiewicz, R. L. Taylor, J. Rojek. Explicit formulation and incompressible linear elements 3 : 263-282, 1996. for metal forming problems. In: S.R. Idelsohn, E. Onate, E.N. Dvorkin, eds., Computational Mechanics - New trends and applications, WCCM IV, Buenos Aires, 29 June-2July 1998, CIMNE-IACM, Barcelona, 1988.
  • [5] A. J. Chorin. A numerical method for solving incompressible viscous problems. J. Comput. Phys., 2: 12-26,
  • [6] A. J. Chorin. On the convergence of discrete approximation to the Navier-Stokes equations. Math. Comput., 23, 1967.
  • [7] T. J. R. Hughes, L. P. Franca, M. Ballestra. Circumventing the Babuska-Brezzi conditions, a stable Petrov - Galerkin formulation of the stokes problem accommodating equal-order interpolation. Comput. Methods Appl.
  • [8] M. Kawahara, K. Ohmiya. Finite element analysis of density flow using the velocity correction method. Int. J. Mech. Engrg., 59: 85-99, 1986. Num. Methd. Fluids, 5: 981-993, 1985.
  • [9] M. Kleiber, H. J. Antfmez, T. D. Hien, P. Kowalczyk. Parameter Sensitivity in Nonlinear Mechanics. Wiley, Chichester, 1997.
  • [10] G. E. Schneider, G. D. Raithby, M. M. Yovanovich. Finite element analysis of incompressible fluid flow incorporating equal order pressure and velocity interpolation. In: C. Taylor, K. Morgan, C. A. Brebbia, eds., Numerical Methods in Laminar and Turbulent Flow, Pentech Press, Plymouth, 1978.
  • [11] 0. C. Zienkiewicz. Flow formulation for numerical solution of forming processes. In: J.F. Pittmann, O. C. Zienkiewicz, R. D. Wood, J. M. Alexander, eds., Numerical analysis of forming processes, 1-44, Wiley, Chichester, 1984.
  • [12] O. C. Zienkiewicz, J. Rojek, R. L. Taylor, M. Pastor. Triangles and tetrahedra in explicit dynamic codes for solids. Int. J. Num. Meth. Engrg., 43: 565-584, 1998.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0005-0014
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