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Computation of limit and shakedown loads using a node-based smoothed finite element method

  • This paper presents a novel numerical procedure for computing limit and shakedown loads of structures using a node-based smoothed FEM in combination with a primal–dual algorithm. An associated primal–dual form based on the von Mises yield criterion is adopted. The primal-dual algorithm together with a Newton-like iteration are then used to solve this associated primal–dual form to determine simultaneously both approximate upper and quasi-lower bounds of the plastic collapse limit and the shakedown limit. The present formulation uses only linear approximations and its implementation into finite element programs is quite simple. Several numerical examples are given to show the reliability, accuracy, and generality of the present formulation compared with other available methods.

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Document Type:Article
Author: Hung Nguyen-Xuan, Timon RabczukORCiDGND, T. Nguyen-Thoi, T. Tran, Dr.-Ing. Nhon Nguyen-Thanh
DOI (Cite-Link):https://doi.org/10.1002/nme.3317Cite-Link
Parent Title (English):International Journal for Numerical Methods in Engineering
Date of Publication (online):2017/08/26
Year of first Publication:2012
Release Date:2017/08/26
Publishing Institution:Bauhaus-Universität Weimar
Institutes:Fakultät Bauingenieurwesen / Institut für Strukturmechanik
First Page:287
Last Page:310
GND Keyword:Angewandte Mathematik; Strukturmechanik
Dewey Decimal Classification:600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften
500 Naturwissenschaften und Mathematik / 510 Mathematik / 519 Wahrscheinlichkeiten, angewandte Mathematik
BKL-Classification:31 Mathematik / 31.80 Angewandte Mathematik
50 Technik allgemein / 50.31 Technische Mechanik
Licence (German):License Logo Copyright All Rights Reserved - only metadata