PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Computational problems of FE-analysis of elastic-plastic surface structures

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper contains a review of problems connected with numerical analysis of elastic-plastic surface structures. Given is detailed information about finite elements as well as about the algorithm of physically non-linear analysis using the incremental-iterative Newton-Raphson method with the consistent modular matrix. The main goal of the paper is to compare numerical results obtained with elements based on either the volume or area approach to the formulation of physical relations. The presented examples are obtained with the use of computer code MANKA. They illustrate some numerical problems induced by elastic-plastic deformation of chosen types of plates.
Rocznik
Strony
17--44
Opis fizyczny
Bibliogr. 31 poz., rys., wykr.
Twórcy
autor
  • Institute of Mechanics and Machine Design, Cracow University of Technology ul. Warszawska 24, 31-155 Cracow, Poland
  • Institute of Computer Methods in Civil Engineering, Cracow University of Technology ul. Warszawska 24, 31-155 Cracow, Poland
Bibliografia
  • [1] J. Bielski. A Semi Analytical Approach to the Analysis of Elastic-Plastic Imperfect Shells of Revolution. Report LR-745, Delft University of Technology, 1994.
  • [2] J. Bielski. A global plasticity formulation combined with a semi-analytical analysis of imperfect shells of revolution. Thin-Walled Struct., 23: 399-411, 1995.
  • [3] J. Bielski. A note on the consistent linearization of the global approach to plasticity in thin shell analysis. Submitted to Thin-Walled Struct., 1996.
  • [4] J. Bielski, M. Radwańska, R. Gawęda. Nonlinear Analysis of Surface Structures, Part I, II (in Polish). Report No. B-11/96, B-12/96, Institute of Computer Methods in Civil Engineering, Cracow University of Technology, 1996.
  • [5] J. Bielski, M. Radwańska. On elastic-plastic finite elements for nonlinear analysis of surface structures. Proc. XIII Polish Conf. "Computer Methods in Mechanics", Poznań, Vol. 1: 157-166, 1997.
  • [6] M. Bischoff, E. Ramm. Three-dimensional shell formulation and elements for large deformations. In: H.A. Mang and F.G. Rammerstorfer, eds., IUTAM Symp. On Discretization Methods in Structural Mechanics, 27-34. Kluwer Academic Publishers, The Netherlands, 1999.
  • [7] R. de Borst. The zero-normal-stress condition in plane-stress and shell elastoplasticity. Communications in Applied Numerical Methods, 'T: 29-33, 1991.
  • [8] M.A. Crisfield. Ivanov's Yield Criterion for Thin Steel Plates and Shells Using Finite Elements. TRRL Report LR 919, Crowthorne, England, 1979.
  • [9] M.A. Crisfield, X. Peng. Instabilities induced by coarse meshes for a nonlinear shell problem. Engineering Computations, 13(6): 110-114, 1996.
  • [10] W. Gilewski, M. Radwańska. A survey of finite element models for the analysis of moderately thick shells. FEAD, 9: 1-21, 1991.
  • [11] E. Hinton, D.R.J. Owen. Finite Element Software for Plates and Shells. Pineridge Press Ltd., Swansea, UK, 1984.
  • [12] G.V. Ivanov. Approximation of the finite relationship between forces and moments in shell subject to the Mises yield condition (in Russian). Inzh. Zhurnal Mekh. Tverdogo Tela, 6: 74-75, 1967.
  • [13] C. Miehe. A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Comp. Meth. Appl. Mech. Engng., 155: 193-233, 1998.
  • [14] C. Miehe, S. Schley. Large-strain thermoplastic analysis of shell-like structures. In: O.T. Bruhns, ed., Grosse plastiche Formanderungen, Bad Honnef 1997, 127-136, Mitteilungen aus dem Institute fur Mechanik, Ruhr-Universitat, Bochum, 114, 1998.
  • [15] E. Pabisek, Z. Waszczyszyn. Consistent algorithm of solving of the incremental elastic-plastic equations on a point and structure level (in Polish). Proc. IX Polish Conf. "Computer Methods in Mechanics", Kraków-Rytro, 851-858, 1989.
  • [16] E. Pabisek. ANKA v.2 — User's Manual (in Polish). Report No. B-14/96, Institute of Computer Methods in Civil Engineering, Cracow University of Technology, 1996.
  • [17] M. Radwańska. Degenerated shell elements in the context of shell theories of first and second approximation. Proc. 5th Conf. Shell Structures, Theory and Applications, Warsaw-Janowice, 31-41, 1992.
  • [18] M. Radwańska, J. Pamin, E. Pabisek, R. Gawęda. Inelastic finite elements in ANKA computer code. Proc. XIII Polish Conf. "Computer Methods in Mechanics", Poznań, Vol. 3, 1115-1122, 1997.
  • [19] E. Ramm, A. Matzenmiller. Computational aspect of elasto-plasticity in shell analysis. In: D.R.J. Owen, ed., Proc. Computational Plasticity, Barcelona. Pineridge Press, 711-734, 1987.
  • [20] M. Robinson. A comparison of yield surfaces for thin shells. Int. J. Mech. Sci., 13: 345, 1971.
  • [21] M. Robinson. The effect of transverse shear stresses on the yield surface for thin shells. Int. J. Solids Structures, 9: 819-828, 1973.
  • [22] J.C. Simo, J.G. Kennedy. On a stress resultant geometrically exact shell model. Part V. Nonlinear plasticity: formulation and integration algorithms. Comp. Meth. Appl. Mech. Engng., 96: 133-171, 1992.
  • [23] J.C. Simo, R.L. Taylor. Consistent tangent operators for rate-independent elastoplasticity. Comp. Meth. Appl. Mech. Engng, 48: 101-118, 1985.
  • [24] J.C. Simo, R.L. Taylor. A return mapping algorithm for plane stress analysis. Int. J. Num. Meth. Eng., 22: 649-670, 1986.
  • [25] G.M. Stanley, K.C. Park, T.J. Hughes. Continuum-based resultant shell elements. In: T.J.R. Hughes et al., eds., Finite Element Methods for Plates and Shell Structures, Vol. 1: Element Technology. Pineridge Press, Swansea, 1-45, 1986.
  • [26] Z. Waszczyszyn. Computational Methods in Plasticity. Report LR-583, Delft University of Technology, 1989.
  • [27] Z. Waszczyszyn. Some basic problems of the finite element analysis of elastoplastic structures (a survey). Mech. Teor. Stos., 28(1-2): 255-275, 1990.
  • [28] Z. Waszczyszyn, C. Cichoń, M. Radwańska. Stability of Structures by Finite Element Methods. Elsevier, Amsterdam, 1994. 44 J. Bielski and M. Radwańska Computer Assisted Mechanics and Engineering Sciences, Copyright (:) 2001 by Institute of Fundamental TechnoloE
  • [29] P. Wriggers, R. Eberlein, S. Reese. A comparison of three-dimensional continuum and shell elements for finite plasticity. Int. J. Sol. Struct., 33: 3309-3326, 1996.
  • [30] M. Ziyaeifar, A.E. Elwi. Degenerated plate-shell elements with refined transverse shear strains. Computers and Structures, 60(6): 1079-1091, 1996.
  • [31] M. Życzkowski. Combined Loadings in the Theory of Plasticity. PWN (Polish Scientific Publishers), Warsaw, 1981.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0006-0030
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.