Engineering Plasticity 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.…”

On the Use of Genetic Algorithms to Assess the Seismic Resistance of Planar Frame Structures

“…This method therefore does not require the direct computation of stiffness matrix and it is not necessary to apply the complete history of loading. Within the framework of limit analysis many proposals have been presented, mainly by means of linear programming [2]- [4].…”

Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures

“…During the early period most of the developments in the field of analysis and optimal design of elasto-plastic structures were connected with the Italian school led by Maier and the Canadian school led by Cohn [1] The classical theorems have been extended to problems concerning dynamic loading, large deformations, strain hardening and nonassociated constitutive models and also several computational methods have been developed see e.g. [2], and [3][4][5].…”