Structural Engineering and Mechanics

  • 제3권2호
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  • Pages.185-192
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  • 1995
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

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A return mapping algorithm for plane stress and degenerated shell plasticity

  • Liu, Z. (Department of Civil Engineering, University of Queensland) ;
  • Al-Bermani, F.G.A. (Department of Civil Engineering, University of Queensland)
  • 발행 : 1995.03.25
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초록

A numerical algorithm for plane stress and shell elasto-plasticity is presented in this paper. The proposed strain decomposition (SD) algorithm is an elastic predictor/plastic corrector algorithm, and in the context of operator splitting, is a return mapping algorithm. However, it differs significantly from other return mapping algorithms in that only the necessary response functions are used without invoking their gradients, and the stress increment is updated only at the end of the time step. This makes the proposed SD algorithm more suitable for materials with complex yield surfaces and will guard against error accumulation during the time step. Comparative analyses of structural systems using the proposed strain decomposition (SD) algorithm and the iterative radial return (IRR) algorithm are presented. The results demonstrate the accuracy and usefulness of the proposed algorithm.

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참고문헌

  1. Creus, G.J., Torres, P.L. and Gorehs, A.G. (1984), "Elastoplastic frame analysis with generalized yield function and finite displacements", Comp. & Struct., 18(5), 925-929. https://doi.org/10.1016/0045-7949(84)90038-5
  2. Dyrbye, C. and Hansen, L. (1954), "Studies on the load carrying capacities of steel structures", Technical University of Denmark, Bulletin No.3.
  3. Hallquist, J.O. and Benson, D.J. (1986), "Finite element methods for plate and shell structures", Element Technology, 1, Hughes, T. J. R. and Hinton, E. Editors, Pineridge Press International, Swansea, 394-431.
  4. Onat, E.T. and Shu, L.S. (1962), "Finite deformation of a rigid perfectly plastic arch", J. Applied Mech., Trans. ASME, 549-553.
  5. Ortiz, M. and Popov, E.P. (1985), "Accuracy and Stability of integration algorithms for elastoplastic constitutive relations", Int. J Num. Meth. Engng., 21, 1561-1576. https://doi.org/10.1002/nme.1620210902
  6. Simo, J. C. and Taylor, R. L. (1986), "A return mapping algorithm for plane stress elastoplasticity", Int. J Num. Math. Engng., 22, 649-670. https://doi.org/10.1002/nme.1620220310
  7. Whirley, R. G., Hallquist, J. O. and Goudreau, G.L. (1989), "An assessment of numerical algorithm for plane stress and shell elastoplasticity on supercomputers", Eng. Comput., 6, 116-126. https://doi.org/10.1108/eb023765