Superplastic Deforming Analysis Based on Element Free Galerkin Method


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Superplastic large deformation problems always meet handicaps associated with severe mesh distortion and iterative remeshing when traditional mesh-based numerical approaches are used. To eliminate these difficulties, meshless simulation of element free Galerkin method (EFGM) for rigid-viscoplastic(RVP) model and incompressible materials is built upon the Moving Least Squares (MLS) approximation and modified Markov variational principles. Also, a numerical quadrature that aligns integration cells with the local supports of shape functions is presented to compute integrations involved in the objective functions. Satisfying results of a superplastic upsetting example with very large compression ratio demonstrate the feasibility and accuracy for the meshfree method to simulate superplastic large deformation process.



Materials Science Forum (Volumes 551-552)

Edited by:

K.F. Zhang




Y. Y. Yang and J. Li, "Superplastic Deforming Analysis Based on Element Free Galerkin Method", Materials Science Forum, Vols. 551-552, pp. 309-315, 2007

Online since:

July 2007





[1] K.F. Zhang, Z.R. Wang, X.M. Lai and G.L. Kan: Mater. Sci. Forum Vol. 243-245 (1997), p.735.

[2] T. Belytschko, Y. Krongauz, D. Organ, M. Fleming and P. Krysl: Comput. Methods Appl. Mech. Engrg Vol. 139 (1996), p.3.

[3] J.S. Chen, C. Pan, C.T. Wu and W.K. Liu: Comput. Appl. Mech. Eng Vol. 139 (1996), p.195.

[4] T. Belytschko, Y.Y. Lu and L. Gu: Int. J. Numer. Methods Engrg Vol. 37 (1994), p.229.

[5] L. Gavete, J.J. Benito, S. Falcon and A. Ruiz: Eur. J. Mech. A/Solids Vol. 19 (2000), p.699.

[6] S. Kobayashi, S. I. Oh, T. Altan: Metal Forming and the Finite-element Method (Oxford University Press, New York 1989).

[7] J. Dolbow and T. Belytschko: Arch. Comp. Mech. Eng Vol. 5 (1998), p.207.

[8] G. R. Liu and Z. H. Tu: Comput. Methods Appl. Mech. Engrg Vol. 191 (2002), p. (1923).

[9] J. Dolbow and T. Belytschko: Computational Mechanics Vol. 23 (1999), p.219.

[10] W. L. Xu, X. C. Li, Z. H. Jin and Y. Y. Yang: Journal of Harbin Institute of Technology Vol. 31 (1999), p.128.

[11] R. Hambli, A. Potiron, F. Guerin and B. Dumon: Journal of Materials Processing Technology Vol. 112 (2001), p.83.