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On the increase of computational algorithm efficiency for elasto‐plastic shell analysis

On the increase of computational algorithm efficiency for elasto‐plastic shell analysis Presents a robust and unconditionally stable return‐mapping algorithm based on the discrete counterpart of the principle of maximum plastic dissipation. Develops the explicit expression for the consistent elasto‐plastic tangent modulus. All expressions are derived via tensor formulation showing the advantage over the classical matrix notation. The integration algorithm is implemented in the formulation of the four‐node isoparametric assumed‐strain finite‐rotation shell element employing the Mindlin‐Reissner‐type shell model. By applying the layered model, plastic zones can be displayed through the shell thickness. Material non‐linearity described by the von Mises yield criterion and isotropic hardening is combined with a geometrically non‐linear response assuming finite rotations. Numerical examples illustrate the efficiency of the present formulation in conjunction with the standard Newton iteration approach, in which no line search procedures are required. Demonstrates the excellent performance of the algorithm for large time respective load steps. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

On the increase of computational algorithm efficiency for elasto‐plastic shell analysis

Engineering Computations , Volume 14 (1): 23 – Feb 1, 1997

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Publisher
Emerald Publishing
Copyright
Copyright © 1997 MCB UP Ltd. All rights reserved.
ISSN
0264-4401
DOI
10.1108/02644409710157631
Publisher site
See Article on Publisher Site

Abstract

Presents a robust and unconditionally stable return‐mapping algorithm based on the discrete counterpart of the principle of maximum plastic dissipation. Develops the explicit expression for the consistent elasto‐plastic tangent modulus. All expressions are derived via tensor formulation showing the advantage over the classical matrix notation. The integration algorithm is implemented in the formulation of the four‐node isoparametric assumed‐strain finite‐rotation shell element employing the Mindlin‐Reissner‐type shell model. By applying the layered model, plastic zones can be displayed through the shell thickness. Material non‐linearity described by the von Mises yield criterion and isotropic hardening is combined with a geometrically non‐linear response assuming finite rotations. Numerical examples illustrate the efficiency of the present formulation in conjunction with the standard Newton iteration approach, in which no line search procedures are required. Demonstrates the excellent performance of the algorithm for large time respective load steps.

Journal

Engineering ComputationsEmerald Publishing

Published: Feb 1, 1997

Keywords: Consistent tangent modulus; Finite element analysis; Elasto‐plastic behaviour; Integration algorithm; Shell structures; Tangent matrices

References

  • A stabilized 9‐node non‐linear shell element
    Kebari, H.; Cassell, A.C.
  • A finite‐rotation theory for elastic‐plastic shell under consideration of shear deformations
    Basar, Y.; Weichert, D.
  • Elastic‐plastic analysis of internally pressurized torispherical shells
    Sori´c, J.; Zahlten, W.

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