2015
DOI: 10.1016/j.compstruc.2014.12.004
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Interval elastoplastic analysis of structures

Abstract: a b s t r a c tThe present work considers the effects of uncertainties in a classical elastoplastic analysis. The uncertainties are related to the applied forces and the plastic material capacities, both of which are taken to lie within deterministic but bounded intervals. The primary aim is to obtain both upper and lower bound responses (e.g. of the displacement history). Our interval elastoplastic problem is formulated as an optimization problem which we refer to as an interval mathematical program with equi… Show more

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Cited by 12 publications
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“…The interval evaluation methods of structural performances based on a probabilistic or nonprobabilistic approach have been studied extensively (Ben-Haim and Elishakoff, 1990;Ben-Haim et al, 1996;Qiu and Wang, 2003;Elishakoff and Ohsaki, 2010;Fujita and Takewaki, 2011;Roy et al, 2012;Guo and Li, 2013;Han et al, 2014;Yang et al, 2015Yang et al, , 2017. Furthermore, the robustness evaluation methods have been proposed as advanced methods for evaluating the toughness of structures under various uncertain circumstances.…”
Section: Introductionmentioning
confidence: 99%
“…The interval evaluation methods of structural performances based on a probabilistic or nonprobabilistic approach have been studied extensively (Ben-Haim and Elishakoff, 1990;Ben-Haim et al, 1996;Qiu and Wang, 2003;Elishakoff and Ohsaki, 2010;Fujita and Takewaki, 2011;Roy et al, 2012;Guo and Li, 2013;Han et al, 2014;Yang et al, 2015Yang et al, , 2017. Furthermore, the robustness evaluation methods have been proposed as advanced methods for evaluating the toughness of structures under various uncertain circumstances.…”
Section: Introductionmentioning
confidence: 99%