Approximate limit load evaluation of structural frames using linear elastic analysis

An efficient mathematical programming method for the elastoplastic analysis of frames

“…All the aforementioned procedures for the elastoplastic analysis of frames are based on mathematical programming (MP). One should only note here, that in the context of the evaluation of the limit load of frames only, Marin-Artieda and Dargush [13] have presented an approach that uses the Linear Matching method, which is not formulated within MP but appears to have difficult convergence properties. A more thorough presentation of the approach together with improved convergence appeared quite recently in Barrera et al [14].…”

Elastic modulus reduction method for limit analysis of thin plate and shell structures

“…In general, the value of q is specified as an initial guess in literatures. For example, 1 and 2 are proposed for plane strain and plane stress, respectively [13][14][15]. In order to avoid this guess work, it is reasonable to investigate the proper way to define the parameter q in a rational way, which has not been done satisfactorily up to now.…”

“…For limit analysis of complex frame structures in civil engineering, the authors [12] developed the elastic modulus reduction method (EMRM) by defining the element bearing ratio (EBR) based on the generalised yield criterion of spatial beam element and the strain energy equilibrium principle (SEEP). The EMAPs are attractive because they require only minimal conceptual bases for application and moderate computational effort to obtain satisfactory approximations of failure mechanisms and collapse loads for relatively complex structures [13]. Although recent research has improved the understanding of the EMAPs, the numerical examples in literatures reveal that the efficiency and accuracy of the EMAPs rely on the strategies of elastic modulus adjustments (SEMAs) [13][14][15].…”

“…The EMAPs are attractive because they require only minimal conceptual bases for application and moderate computational effort to obtain satisfactory approximations of failure mechanisms and collapse loads for relatively complex structures [13]. Although recent research has improved the understanding of the EMAPs, the numerical examples in literatures reveal that the efficiency and accuracy of the EMAPs rely on the strategies of elastic modulus adjustments (SEMAs) [13][14][15]. That is to say the elastic modulus adjustment parameter q plays an important role in limit analysis utilizing the EMAPs.…”

A quick estimate of the strength of uniaxially tied framed structures

“…Recently, Marin-Artieda and Dargush [2] have presented a different approach based on a sequence of elastic solutions obtained by varying the elastic modulus so that the bending moments everywhere in the frame remain less that the corresponding * Corresponding author. Tel.…”