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 determineThis 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.…
Dokumentart: | Artikel (Wissenschaftlicher) |
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Verfasserangaben: | Hung Nguyen-Xuan, Timon RabczukORCiDGND, T. Nguyen-Thoi, T. Tran, Dr.-Ing. Nhon Nguyen-Thanh |
DOI (Zitierlink): | https://doi.org/10.1002/nme.3317Zitierlink |
Titel des übergeordneten Werkes (Englisch): | International Journal for Numerical Methods in Engineering |
Sprache: | Englisch |
Datum der Veröffentlichung (online): | 26.08.2017 |
Jahr der Erstveröffentlichung: | 2012 |
Datum der Freischaltung: | 26.08.2017 |
Veröffentlichende Institution: | Bauhaus-Universität Weimar |
Institute und Partnereinrichtugen: | Fakultät Bauingenieurwesen / Institut für Strukturmechanik (ISM) |
Erste Seite: | 287 |
Letzte Seite: | 310 |
GND-Schlagwort: | Angewandte Mathematik; Strukturmechanik |
DDC-Klassifikation: | 600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften |
500 Naturwissenschaften und Mathematik / 510 Mathematik / 519 Wahrscheinlichkeiten, angewandte Mathematik | |
BKL-Klassifikation: | 31 Mathematik / 31.80 Angewandte Mathematik |
50 Technik allgemein / 50.31 Technische Mechanik | |
Lizenz (Deutsch): | Copyright All Rights Reserved - only metadata |