Shakedown analysis of elastoplastic structures: A review of recent developments

König, J. A.; Maier, G.

doi:10.1016/0029-5493(81)90183-7

Cited by 129 publications

(34 citation statements)

References 40 publications

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“…On the grounds of the above remarks, in the framework of the structural analysis and/or design procedures, it can be useful to make reference to the unrestricted dynamic shakedown theory (see, e.g., Borino and Polizzotto 1995;Ceradini 1969Ceradini , 1980König and Maier 1981;Polizzotto 1984), to define a suitable (linear/linearized convex) dynamic load domain characterized by a finite number of vertices (appropriate known dynamic loading histories) and to proceed analogously to the case of static shakedown, as here synthetically reported.…”

Section: Preliminary Problem Positionsmentioning

confidence: 99%

Optimization of structures with unrestricted dynamic shakedown constraints

Benfratello

Palizzolo

Tabbuso

2015

Struct Multidisc Optim

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The unrestricted dynamic shakedown theory is here utilized with the aim to formulate different optimal design problems for structures mainly subjected to seismic loads. In particular, reference is made to plane frame structures constituted by elastic perfectly plastic material subjected to load combinations characterized by the presence of simultaneous fixed and seismic actions. The design problems, formulated on the ground of a statical approach, are devoted to structures with and without seismic protection devices, with special emphasis to seismic isolators. For the proposed design problem formulations different constraints are utilized; actually, for structures without protection devices the design problem must impose that the optimal structure remains elastic for fixed loads, shakes down for serviceability seismic conditions and prevents the instantaneous collapse for high seismic loads; while for structures provided with a given base isolation system, it is imposed that they remain elastic for fixed loads and shakes down for full seismic conditions. Appropriate modal analyses are utilized in order to take into account for both classically and non-classically damped structures. The seismic load history to be considered for shakedown and collapse limit admissibility conditions is a repeated seismic load one according with the unrestricted shakedown theory. The effected applications are related to plane steel frames.

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Section: Preliminary Problem Positionsmentioning

confidence: 99%

Optimization of structures with unrestricted dynamic shakedown constraints

Benfratello

Palizzolo

Tabbuso

2015

Struct Multidisc Optim

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“…The theory is naturally extended to general cyclic loading processes (Corradi and Zavelani, 1974;Konig and Maier, 1981;Konig, 1987;Gro-Wedge, 1997). There are two mathematical approaches to attack a problem in elasticity as well as in plasticity.…”

Section: Introductionmentioning

confidence: 99%

Shear effects in shakedown analysis of offshore structures

Fadaee

Saffari

Tabatabaei

2008

J. Ocean Univ. China

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In this paper, a formulation for shakedown analysis of elastic-plastic offshore structures under cyclic wave loading is presented. In this formulation, a fast numerical solution method is used, suitable for the Finite Element Method (FEM) analysis of large offshore structures on which shear effects in addition to bending and axial effects are taken into account. The Morison equation is adopted for converting the velocity and acceleration terms into resultant forces and it is extended to consider arbitrary orientations of the structural members. The theoretical methods of the shakedown analysis are discussed in detail and the formulation is applied to an offshore structure to verify the concept employed and its analytical capabilities.

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“…Shakedown theory has been used to explain the behaviour of engineering structures loaded with repetitive force. The pressure vessels under thermal cyclic loading problem were the first application of this concept, and later it was applied to the rolling on metal surfaces problem (König and Maier 1981). When it comes to geomechanics the shakedown theory was used in the road structures (Werkmeister et al 2001;Werkmeister 2006;Tao et al 2010;Nega et al 2015;Sharp and Booker 1984;Boulbibane and Collins 2015).…”

Section: Introductionmentioning

confidence: 99%

“…The fundamental concept of shakedown theory is a division of the behaviour of the soil into five categories (König and Maier 1981):…”

Section: Introductionmentioning

confidence: 99%

Energy-based analysis of permanent strain behaviour of cohesive soil under cyclic loading

et al. 2017

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In this paper the original results of uniaxial cyclic compression test on cohesive soil are presented. The shakedown phenomena in cohesive soil are described. Energy-based method highlights the change of soil material behaviour from plastic shakedown through plastic creep shakedown to incremental collapse. The samples were cyclically loaded under undrained conditions with the constant amplitude of stress in one-way test procedure. In this study the energy-based method was presented as a proper method to categorise response of cohesive soil to cyclic loading in uniaxial conditions. A shakedown criterion factor, S E , was introduced to help understand the shakedown phenomena in cohesive soil. In cohesive soils the absence of a limit between plastic shakedown and plastic creep shakedown was pointed out.

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Shakedown analysis of elastoplastic structures: A review of recent developments

Cited by 129 publications

References 40 publications

Optimization of structures with unrestricted dynamic shakedown constraints

Optimization of structures with unrestricted dynamic shakedown constraints

Shear effects in shakedown analysis of offshore structures

Energy-based analysis of permanent strain behaviour of cohesive soil under cyclic loading

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