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Shakedown analysis under stochastic uncertainty by chance constrained programming

Trân Ngoc Trình, Trần Thanh Ngoc, Matthies Hermann Georg, Stavroulakis Georgios, Staat M.

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URIhttp://purl.tuc.gr/dl/dias/BE1C68AB-16F0-44DE-AB8A-9B7647758596-
Identifierhttps://link.springer.com/chapter/10.1007/978-3-319-59810-9_6-
Identifierhttps://doi.org/10.1007/978-3-319-59810-9_6-
Languageen-
Extent19 pagesen
TitleShakedown analysis under stochastic uncertainty by chance constrained programmingen
CreatorTrân Ngoc Trìnhen
CreatorTrần Thanh Ngocen
CreatorMatthies Hermann Georgen
CreatorStavroulakis Georgiosen
CreatorΣταυρουλακης Γεωργιοςel
CreatorStaat M.en
PublisherSpringer Verlagen
Content SummaryIn this paper we propose a stochastic programming method to analyse limit and shakedown of structures under uncertainty condition of strength. Based on the duality theory, the shakedown load multiplier formulated by the kinematic theorem is proved actually to be the dual form of the shakedown load multiplier formulated by static theorem. In this investigation a dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The edge-based smoothed finite element method (ES-FEM) with three-node linear triangular elements is used for structural analysisen
Type of ItemΚεφάλαιο σε Βιβλίοel
Type of ItemBook Chapteren
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-04-18-
Date of Publication2017-
SubjectStochastic programmingen
SubjectFinite element method en
Bibliographic CitationN.T. Tran, T.N. Tran, H. G. Matthies, G. E. Stavroulakis and M. Staat, "Shakedown analysis under stochastic uncertainty by chance constrained programming," in Advances in Direct Methods for Materials and Structures. Switzerland: Springer, 2018, pp. 85-103. doi: 10.1007/978-3-319-59810-9-6en
Book TitleAdvances in Direct Methods for Materials and Structuresen
Book Seriesen

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