Elastic–plastic and limit-state analyses of frames with softening plastic-hinge models by mathematical programming

An overview of the plastic-hinge analysis of 3D steel frames

“…Since the 1970s, the direct methods have been largely developed thanks to the application of mathematical programming; in particular, the linear programming problem can be generally solved through the simplex method (see Dantzig [20]). An overall picture on the application of the mathematical programming to structural analysis can be found from: the state-of-the-art report of Grierson [26]; the book edited by Cohn [13]; the state-of-the-art papers and the key note of Maier [56,57]; the book edited by Smith [71]; and other papers by Cocchetti [12], NguyenDang [66]. Additionally, some interesting computer programs were built up, e.g.…”

New Practical Approach to Plastic Analysis of Steel Structures

“…Further, the plastic deformations depend on variability of material, shape, size, and length of the member at every point, thus, it can't be confined to some particular sections only. Therefore, the modeling assumption for these analyses needs to be revised [11]. Kaliszky presents solution methods for elastoplastic and shakedown analysis of linearly elastic, perfectly plastic bodies [12].…”

Robustness analysis of structures based on plastic limit analysis with uncertain loads

“…The limit analysis still receives much attention by numerous researchers from the viewpoint of solution techniques [Muralidhar and Jagannatha Rao 1997;Andersen et al 1998;Cocchetti and Maier 2003;Krabbenhoft and Damkilde 2003]. Based on the probabilistic uncertainty models of structural systems, various approaches to stochastic limit analysis have also been proposed [Llyoyd Smith et al 1990;Rocho and Sonnenberg 2003;Staat and Heitzer 2003;Marti and Stoeckel 2004].…”