Limit and shakedown analysis of 3D steel frames via approximate ellipsoidal yield surfaces

Skordeli, M.-A.A.; Bisbos, C.D.

doi:10.1016/j.engstruct.2010.02.004

Cited by 46 publications

(39 citation statements)

References 39 publications

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“…Various yield criteria have been proposed for different materials and/or cross-sectional shapes that incorporate the interaction of all stresses [19,24]. Herein, two alternatives are examined, i.e.…”

Section: Yield Condition For 2d and 3d Interactionmentioning

confidence: 99%

“…Most of this development is based on a piecewise linearization of the convex yield surface that delimits the elastic domain as an intersection of half-spaces determined by a number of hyperplanes. More recently, methods for approximating the yield surface with ellipsoids were proposed forming second-order cone programming (SOCP) problems by Skordeli and Bisbos [19] and Bleyer and Buhan [20].…”

Section: Introductionmentioning

confidence: 99%

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Limit analysis of structures: A convex hull formulation

Manola

Koumousis

2015

Computers & Structures

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Section: Yield Condition For 2d and 3d Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Limit analysis of structures: A convex hull formulation

Manola

Koumousis

2015

Computers & Structures

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“…In (Skordeli and Bisbos 2010) the use of approximating yield surfaces for frame structures in the form of a single ellipsoid was suggested. However, this approximation is not very flexible, and degenerates to a sphere when expressed in terms of the normalized generalized stresses.…”

Section: A Simple Approachmentioning

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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“…To the authors' knowledge, the only attempt at treating limit and shakedown analysis of general composite frames under nonlinear yield surfaces was suggested by Skordeli and Bisbos [35]. In this work, steel frame yield surfaces were approximated by inner and outer ellipsoids so that the arising optimization problem became a SOCP problem.…”

Section: Introductionmentioning

confidence: 99%

“…Results obtained in this paper seemed very promising and motivated our present work. The novelty of this paper is to propose an accurate approximation procedure using more complex primitives than planes (piecewise linearization) or than one single ellipsoid (Skordeli and Bisbos [35]). The crucial part of the procedure is that only a few primitives will be needed to obtain a good approximation and to reduce the number of constraints for each criterion checking.…”

Section: Introductionmentioning

confidence: 99%

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

Bleyer

Buhan

2013

Computers & Structures

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surface approximation for lower and upper bound yield design of 3d composite frame structures. Computers and Structures, Elsevier, 2013, 129, pp. 86-98. <10.1016/j.compstruc.2013 AbstractThe present contribution advocates an up-scaling procedure for computing the limit loads of spatial structures made of composite beams. The resolution of an auxiliary yield design problem leads to the determination of a yield surface in the space of axial force and bending moments. A general method for approximating the numerically computed yield surface by a sum of several ellipsoids is developed. The so-obtained analytical expression of the criterion is then incorporated in the yield design calculations of the whole structure, using second-order cone programming techniques. An illustrative application to a complex spatial frame structure is presented.

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Limit and shakedown analysis of 3D steel frames via approximate ellipsoidal yield surfaces

Cited by 46 publications

References 39 publications

Limit analysis of structures: A convex hull formulation

Limit analysis of structures: A convex hull formulation

Cyclic Plastic Hinges with Degradation Effects for Frame Structures

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

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