Yield surface approximation for lower and upper bound yield design of 3D composite frame structures

Bleyer, Jérémy; Buhan, Patrick de

doi:10.1016/j.compstruc.2013.08.011

Cited by 39 publications

(43 citation statements)

References 35 publications

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“…Referring to bounded strength domains, some authors have quite recently proposed to use the sum of convex ellipsoidal sets to approximate these domains [36]. More details concerning the mathematical aspects of the numerical approximation procedure are given in Appendix A.…”

Section: Principle Of Strength Domain's Approximations Using Convex Ementioning

confidence: 99%

Stability analysis of homogenized stone column reinforced foundations using a numerical yield design approach

Gueguin

Hassen²,

Buhan³

2015

Computers and Geotechnics

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This paper deals with the ultimate bearing capacity of soft clayey soils, reinforced by stone columns, analyzed in the framework of the yield design theory. Since such geotechnical structures are almost impossible to analyze directly due to the strong heterogeneity of the reinforced soil, an alternative homogenization approach is advocated here. First, numerical lower and upper bound estimates for the macroscopic strength criterion of the stone column reinforced soil are approximated in a rigorous way with convex ellipsoidal sets, which makes the approximated criteria much easier to handle than the initial ones. Then, both static and kinematic approaches are carried out numerically on the homogenized problem using the above approximated macroscopic strength domains in an adapted finite element method. The whole numerical procedure is applied on one classical geotechnical problem: the ultimate bearing capacity of stone column reinforced foundations. The strength capacity of the structure is rigorously framed and the efficiency of the proposed numerical method is highlighted in terms of accuracy and calculation time.

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Section: Principle Of Strength Domain's Approximations Using Convex Ementioning

confidence: 99%

Stability analysis of homogenized stone column reinforced foundations using a numerical yield design approach

Gueguin

Hassen²,

Buhan³

2015

Computers and Geotechnics

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“…Depending on the number of control points it may be cumbersome though and special care has to be taken to ensure convexity of the surface. An alternative quite simple and flexible generic surface format using a Minkowski sum of ellipsoids ensuring convexity, was suggested by (Bleyer and de Buhan 2013a;Bleyer and de Buhan 2013b). The format has a high accuracy but the actual formation of the Minkowski sum as well as derivation of the gradients may be difficult.…”

Section: Introductionmentioning

confidence: 99%

Cyclic Plastic Hinges with Degradation Effects for Frame Structures

Tidemann

Krenk

2017

J. Eng. Mech.

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A model of cyclic plastic hinges in frame structures including degradation effects for stiffness and strength is developed. The model is formulated via potentials in terms of section forces. It consists of a yield surface, described in a generic format permitting representation of general convex shapes including corners, and a set of evolution equations based on an internal energy potential and a plastic flow potential. The form of these potentials is specified by five parameters for each generalized stress-strain component describing: yield level, ultimate stress capacity, elastic and elasto-plastic stiffness, and a shape parameter. The model permits gradual changes in stiffness and strength parameters via damage-based degradation. The degradation effects are introduced in the energy and flow potentials and result in additional evolution equations for the corresponding strength and stiffness parameters. The cyclic plastic hinges are introduced into a six-component equilibrium-based beam element, using additive element and hinge flexibilities. When converted to stiffness format the plastic hinges are incorporated into the element stiffness matrix. The cyclic plastic hinge model has been implemented in a computer program and used for analysis of some simple structures illustrating the characteristic features of the cyclic response and the accuracy of the proposed model.

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“…An important point in the limit or shakedown analysis of these structures regards the definition and the evaluation of the beam sections yield function. This topic is important also for standard incremental elasto-plastic analysis and has received increasing attention in the literature [5,24,3,25,26].…”

Section: Introductionmentioning

confidence: 99%

“…A strategy for approximating the true nonlinear yield surfaces by using a Minkowski Sum of Ellipsoids (MSE) for limit analysis problems, has recently been proposed in [24]. The resultant Second Order Cone Programming problem is efficiently solved with the general purpose code MOSEK.…”

Section: Introductionmentioning

confidence: 99%

Effective treatment of complex statical and dynamical load combinations within shakedown analysis of 3D frames

Leonetti

Casciaro

Garcea

2015

Computers & Structures

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Yield surface approximation for lower and upper bound yield design of 3D composite frame structures

Cited by 39 publications

References 35 publications

Stability analysis of homogenized stone column reinforced foundations using a numerical yield design approach

Stability analysis of homogenized stone column reinforced foundations using a numerical yield design approach

Cyclic Plastic Hinges with Degradation Effects for Frame Structures

Effective treatment of complex statical and dynamical load combinations within shakedown analysis of 3D frames

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