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Hyper-reduced arc-length algorithm for stability analysis in elastoplasticity

delete2021-01-01
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H
Hugo Launay
J
Jacques Besson
D
David Ryckelynck *
F
François Willot
DOI:10.1016/j.ijsolstr.2020.10.014delete
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摘要

摘要

En 中文
In this article an hyper-reduced scheme for the Crisfield's algorithm (Crisfield, 1981) applied to buckling simulations and plastic instabilities is presented. The two linear systems and the ellipse equation entering the algorithm are projected on a reduced space and solved in a reduced integration domain, resulting in a system of hyper-reduced equations. Use is made of the Gappy proper orthogonal decomposition to recover stresses outside the reduced integration domain. Various methods are proposed to construct a reduced bases, making use of simulation data obtained with standard finite element method and a stress-based error criterion for the hyper reduced calculations is proposed. A greedy algorithm coupled with this error criterion is used to generate intelligently full standard finite element simulations and enrich the reduced base, demonstrating the adequacy of the error criterion. Finally, numerical results pertaining to elastoplastic structures undergoing finite strains, with emphasis on buckling and limit load predictions are presented. A parametric study on the geometry of the structure is carried out in order to determine the domain of validity of the proposed hyper-reduced modeling approach. (C) 2020 Elsevier Ltd. All rights reserved.
Keyword:
Model order reduction
Hyper-reduction
Reduced integration domain
Crisfield algorithm
POD
Plastic instability
Buckling
Limit load
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期刊

International Journal of Solids and Structures 封面图
International Journal of Solids and Structures
IF:
3.8
论文数:
1.2W
被引数:
3.1W

机构

U
Universite PSL
学者数:
3.3W
论文数: 2.5W
被引数: 91
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