Zienkiewicz, O. C.; Huang, G. C.; Liu, Y. C. Adaptive FEM computation of forming processes - application to porous and non-porous materials. (English) Zbl 0716.73084 Int. J. Numer. Methods Eng. 30, No. 8, 1527-1553 (1990). Summary: This paper presents the ‘flow formulation’ approach applicable to both compressible and incompressible forming analysis. Appropriate error estimates and adaptive remeshing schemes are described for updated coordinate analysis. Several numerical examples are given. These are backward-forward extrusion and thermally coupled extrusion of pore-free materials, followed by cylinder upsetting, and tapered die extrusion of porous materials. The simulation of the deformation is shown as well as the distribution of effective strain and density at different time stages. The procedures are automatic and are incorporated in a general purpose code FEMMETA. Cited in 17 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74E30 Composite and mixture properties 74C99 Plastic materials, materials of stress-rate and internal-variable type Keywords:flow formulation approach; compressible; incompressible forming analysis; Appropriate error estimates; adaptive remeshing schemes; updated coordinate analysis; backward-forward extrusion; thermally coupled extrusion; pore-free materials; cylinder upsetting; tapered die extrusion; code FEMMETA PDF BibTeX XML Cite \textit{O. C. Zienkiewicz} et al., Int. J. Numer. Methods Eng. 30, No. 8, 1527--1553 (1990; Zbl 0716.73084) Full Text: DOI OpenURL References: [1] ’Flow formulation for numerical solution of forming processes’, in et al.(eds.), Numerical Analysis of Forming Processes, Wiley, Chichester, U. K., 1984. pp. 1-44. [2] Shima, Int. J. Mech. Sci. 18 pp 285– (1976) [3] Oyane, J. Mech. Wkg. Tech. 1 pp 325– (1978) [4] Oh, J. Mech. Wkg. Tech. 11 pp 53– (1985) [5] Oyane, J. Japan. Soc. Tech. Plast. 15 pp 43– (1974) [6] Shima, J. Japan. Soc. Tech. Plast. 16 pp 660– (1975) [7] and , ’Modified formulation for extrusion of porous powder preforms using finite-elementmethod’, in et al.(eds.), Proc. Conf. on Numerical Method in Industry Forming Processes, Pineridge Press, Swansea, U. K., 1982. pp. 257-266. [8] Mori, Int. J. Mech. Sci. 29, 4 pp 229– (1987) [9] , and , ’Finite element simulation of hot isostatic pressing of metal powders’, in et al.(eds.), Proc. NUMIFORM ’86 Conference, Balkema, Rotterdam, 1986. pp. 79-83. [10] Zienkiewicz, Int. J. Numer. Methods Eng. 24 pp 337– (1987) [11] Zienkiewicz, Int. J. Numer. Methods Eng. 25 pp 23– (1988) [12] and , ’Error control, mesh updating schemes and automatic adaptive remeshing for finite element analysis of unsteady extrusion processes’, in and (eds.), Proc. Conf. on Modelling of Metal Forming Processes, Klumer Academic Publishers, Dordrecht, 1988. pp. 75-83. [13] and , Chapter 12 in The Finite Element Method, 4th edn, McGraw-Hill, Maidenhead, U. K., 1989. [14] Hinton, Int. J. Numer. Methods Eng. 8 pp 461– (1974) [15] Ainsworth, Int. J. Numer. Methods Eng. 28 pp 2161– (1989) [16] Peraire, J. Comp. Phys. 72 pp 449– (1987) [17] Zienkiewicz, Int. J. Numer. Methods Eng. 28 pp 2191– (1989) [18] ’Error estimates and adaptive remeshing in finite element analysis of forming processes’, Ph. D. Thesis, Civil Engineering Department, University College of Swansea, Swansea, U. K., 1989. [19] and , ’An analysis of axisymmetric extrusion with numerical and model material techniques’, in (ed.), Proc. Computer Modelling of Fabrication Processes and Constitutive Behaviour of Metals, Canadian Government Publishing Centre, 1986. pp. 39-53. [20] Charpentier, Metall. Trans. A A, 17A pp 2227– (1986) [21] Stanford-Beale, Compos. Sci. Technol. 35 pp 121– (1989) [22] and , ’Finite element analysis of plastic deformation of porous materials’, in (ed.), Metal Forming and Impact Mechanics, Pergamon Press, Oxford, 1985. pp. 103-122. [23] and , ’Finite element analysis of sheet metal forming problems using a viscous voided shell formulation’, in and (eds.), Proc. Conf. on Modelling of Metal Forming Processes, Kluwer Academic Publishers, Dordrecht, 1988. pp. 163-178. [24] Zienkiewicz, Commun. Appl. Numer. Methods 6 pp 71– (1990) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.