### Abstract

Language | English |
---|---|

Pages | 1-22 |

Number of pages | 22 |

Journal | Computational Mechanics |

Volume | 63 |

Issue number | 1 |

Early online date | 15 May 2018 |

DOIs | |

Publication status | Published - 31 Jan 2019 |

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### Keywords

- direct method
- shakedown analysis
- stress compensation method
- large-scale
- elastoplastic structures

### Cite this

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*Computational Mechanics*, vol. 63, no. 1, pp. 1-22. https://doi.org/10.1007/s00466-018-1581-x

**A numerical formulation and algorithm for limit and shakedown analysis of large-scale elastoplastic structures.** / Peng, Heng; Liu, Yinghua; Chen, Haofeng.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A numerical formulation and algorithm for limit and shakedown analysis of large-scale elastoplastic structures

AU - Peng, Heng

AU - Liu, Yinghua

AU - Chen, Haofeng

PY - 2019/1/31

Y1 - 2019/1/31

N2 - In this paper, a novel direct method called the stress compensation method (SCM) is proposed for limit and shakedown analysis of large-scale elastoplastic structures. Without needing to solve the specific mathematical programming problem, the SCM is a two-level iterative procedure based on a sequence of linear elastic finite element solutions where the global stiffness matrix is decomposed only once. In the inner loop, the static admissible residual stress field for shakedown analysis is constructed. In the outer loop, a series of decreasing load multipliers are updated to approach to the shakedown limit multiplier by using an efficient and robust iteration control technique, where the static shakedown theorem is adopted. Three numerical examples up to about 140,000 finite element nodes confirm the applicability and efficiency of this method for two-dimensional and three-dimensional elastoplastic structures, with detailed discussions on the convergence and the accuracy of the proposed algorithm.

AB - In this paper, a novel direct method called the stress compensation method (SCM) is proposed for limit and shakedown analysis of large-scale elastoplastic structures. Without needing to solve the specific mathematical programming problem, the SCM is a two-level iterative procedure based on a sequence of linear elastic finite element solutions where the global stiffness matrix is decomposed only once. In the inner loop, the static admissible residual stress field for shakedown analysis is constructed. In the outer loop, a series of decreasing load multipliers are updated to approach to the shakedown limit multiplier by using an efficient and robust iteration control technique, where the static shakedown theorem is adopted. Three numerical examples up to about 140,000 finite element nodes confirm the applicability and efficiency of this method for two-dimensional and three-dimensional elastoplastic structures, with detailed discussions on the convergence and the accuracy of the proposed algorithm.

KW - direct method

KW - shakedown analysis

KW - stress compensation method

KW - large-scale

KW - elastoplastic structures

U2 - 10.1007/s00466-018-1581-x

DO - 10.1007/s00466-018-1581-x

M3 - Article

VL - 63

SP - 1

EP - 22

JO - Computational Mechanics

T2 - Computational Mechanics

JF - Computational Mechanics

SN - 0178-7675

IS - 1

ER -