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Boundary stress resolution and its application to adaptive finite element analysis

  • Deng, Jianhui (Institute of Rock & Soil Mechanics, The Chiness Academy of Sciences) ;
  • Zheng, Hong (Institute of Rock & Soil Mechanics, The Chiness Academy of Sciences) ;
  • Ge, Xiurun (Institute of Rock & Soil Mechanics, The Chiness Academy of Sciences)
  • 발행 : 1998.01.25

초록

A novel boundary stress resolution method is suggested in this paper, which is based upon the displacements of finite element analysis and of high precision with stress boundary condition strictly satisfied. The method is used to modify the Zienkiewicz-Zhu ($Z^2$) a posteriori error estimator and for the h-version adaptive finite element analysis of crack problems. Successful results are obtained.

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참고문헌

  1. Ainsworth, M. and Zhu, J.Z., et al. (1989), "Analysis of the Zienkiewicz-Zhu a posteriori error estimator in the finite element method", Int. J. Numer. Methods Engeng., 28, 2161-2174. https://doi.org/10.1002/nme.1620280912
  2. Babuska, I. and Rheinbolt, W.C. (1978), "A posteriori error estimates for the finite element method", Int. J. Number, Methods Engng., 12, 1597-1695. https://doi.org/10.1002/nme.1620121010
  3. Babuska, I. and Rheinbolt, W.C. (1979), "Adaptive approaches and reliability estimates in finite element analysis", Comp. Meth App. Eng., 17/18, 519-540. https://doi.org/10.1016/0045-7825(79)90042-2
  4. Blacker, T.D. and Stepheson, M.B. (1991), "Paving: a new approaches to automated quadrilateral mesh generation", Int. J. Number, Methods Engng., 32, 811-847. https://doi.org/10.1002/nme.1620320410
  5. Deng, J.H., Xiong, W.L. and Ge, X.R. (1995), "Automatic generation of unstructured quadrilateral mesh for complex domain", J. Comp. Struct. Mech. and App. (in Chinese), 12(2), 196-204.
  6. Deng, J.H. (1994), "Adaptive finite element analysis of jointed rocks-methods and implementation", (Ph D Thesis), Wuhan University of Hydraulic and Electric engineering, R. R. China.
  7. Goodman, R.E., Taylor, R.L. and Brekke, T.L. (1968), "A model for the mechanics of jointed rock", J. Soil Mech. Fdns. Div., ASCE, 99, 637-659.
  8. Szabo, B.A. (1986), "Estimation and control of error based on p convergenes", Chapter 3 in Accuracy Estimates and Adaptive Refinement in Finite Element Comutations, Wiley.
  9. Zienkiewicz, O.C. and Zhu, J.Z. (1987), "A simple error estimator and adaptive procedure for practical engineering analysis", Int. J Numer. Methods Engng., 24, 337-357. https://doi.org/10.1002/nme.1620240206
  10. Zienkiewicz, O.C. and Taylor, R.L. (1989), The Finite Element Method, 4th ed., McGraw Hill Book Company.
  11. Zhu, J.Z., etc (1991), "A new approach to the development of automatic quadrilateral mesh generation", Int. J. Numer. Methods Engng., 32, 849-866. https://doi.org/10.1002/nme.1620320411

피인용 문헌

  1. Error estimates and adaptive finite element methods vol.18, pp.5/6, 2001, https://doi.org/10.1108/EUM0000000005788