Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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Improved stress recovery for elements at boundaries

  • Stephen, D.B. (Finite Element Analysis Research Centre, Building J07, Engineering Faculty University of Sydney) ;
  • Steven, G.P. (Finite Element Analysis Research Centre, Building J07, Engineering Faculty University of Sydney)
  • Published : 1997.03.25
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Abstract

Patch recovery attempts to derive a more accurate stress filed over a particular element than the finite element shape function used for that particular element. Elements that have a free edge being the boundary to the structure have particular stress relationship that can be incorporated to the stress field to improve the accuracy of the approximation.

Keywords

References

  1. Barlow, J. (1976), "Optimal stress locations in finite element models", International Journal for Numerical Methods in Engineering, 10, 243-251. https://doi.org/10.1002/nme.1620100202
  2. Hinton, E., Campbell, J.S. (1974), "Local and global smoothing of discontinuous finite element functions using a least squares method", International Journal for Numerical Methods in Engineering, 8, 461-480. https://doi.org/10.1002/nme.1620080303
  3. Lee, C.K. and Lo, S.H. (1993), "Robust implementation of superconvergent patch recobery technique", Conference on Computational Mechanics, Sydney, 1275-1280.
  4. Mackinnon, R.J. and Carey, G.F. (1989), "Superconvergent derivatioves: a taylor series analysis", International Journal for Numerical Methods in Engineering, 28, 489-509. https://doi.org/10.1002/nme.1620280302
  5. Sokoknikoff, I.S. (1956), Mathematical Theory of Elasticity, Mc Graw-Hill Book Company, Inc., New York.
  6. Stephen, D.B. and Steven, G.P. (1996), "A modified Zienkiewicz-Zhu error estimator", Structural Engineering and Mechanics, 4(1), 1-8. https://doi.org/10.12989/sem.1996.4.1.001
  7. Wieberg, N.E. and Abdulwahab, F. (1993), "Patch recovery based on superconvergent derivatives and equilibrium", International Journal for Numerical Methods in Engineering, 36, 2703-2724. https://doi.org/10.1002/nme.1620361603
  8. Wieberg, N.E. and Li, X.D. (1994), "Superconvergent patch recovery of finite-element solution and a posteriori $L_2$ norm error estimate", Communications in Numerical Methods in Engineering, 10, 313-320. https://doi.org/10.1002/cnm.1640100406
  9. Wieberg, N.E. and Li, X.D. (1993), "A post-processing technique and a posteriori error estimate for the newmark method in dynamic analysis", Earthquake Engineering and Structural Dynamics, 22, 465-489. https://doi.org/10.1002/eqe.4290220602
  10. Zienkiewicz, O.C., Zhu, J.Z. (1992), "The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique", International Journal for Numerical Methods in Engineering, 33, 1331-1364. https://doi.org/10.1002/nme.1620330702
  11. Zienkiewicz, O.C., Zhu, J.Z. (1992), "The superconvergent patch recovery and a posteriori error estimates. Part 2: error estimates and adaptivity", International Journal for Numerical Methods in Engineering, 33, 1365-1382. https://doi.org/10.1002/nme.1620330703

Cited by

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