Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models

Pycko, S.; Maier, G.

doi:10.1016/s0749-6419(95)00004-6

Cited by 68 publications

(28 citation statements)

References 22 publications

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“…In the Besseling overlay material model the shakedown behaviour is described only by σ u and σ y (Stein et al, 1993). Pycko andMaier (1995) andDe Saxce et al (2000) extended the shakedown theory to the advanced Armstrong and Frederick hardening law.…”

Section: Kinematic Hardening Formulationmentioning

confidence: 99%

Shakedown and ratchetting under tension–torsion loadings: analysis and experiments

Heitzer

Staat

Reiners

et al. 2003

Nuclear Engineering and Design

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SUMMARYStructural design analyses are conducted with the aim of verifying the exclusion of ratchetting. To this end it is important to make a clear distinction between the shakedown range and the ratchetting range. The performed experiment comprised a hollow tension specimen which was subjected to alternating axial forces, superimposed with constant moments. First, a series of uniaxial tests has been carried out in order to calibrate a bounded kinematic hardening rule. The load parameters have been selected on the basis of previous shakedown analyses with the PERMAS code using a kinematic hardening material model. It is shown that this shakedown analysis gives reasonable agreement between the experimental and the numerical results. A linear and a nonlinear kinematic hardening model of two-surface plasticity are compared in material shakedown analysis.

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Section: Kinematic Hardening Formulationmentioning

confidence: 99%

Shakedown and ratchetting under tension–torsion loadings: analysis and experiments

Heitzer

Staat

Reiners

et al. 2003

Nuclear Engineering and Design

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“…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]. Systematic surveys can be found e.g.…”

Section: Introductionmentioning

confidence: 99%

Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures

Błachowski

Tauzowski

Lógó

2017

Period. Polytech. Civil Eng.

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“…The long-term constitutive behaviour of ballast is based on a shakedown concept [12], where it is assumed that no permanent deformations occur if the cyclic load level is sufficiently small. If this elastic limit is exceeded, the permanent deformations may gradually decrease or increase, which is referred to as 275 shakedown and ratcheting, respectively.…”

Section: Introductionmentioning

confidence: 99%

A numerical model for foundation settlements due to deformation accumulation in granular soils under repeated small amplitude dynamic loading

François

Karg

Haegeman

et al. 2009

Num Anal Meth Geomechanics

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SUMMARYRepeated small amplitude dynamic loading of the soil in the vicinity of buildings, as arising from traffic or construction activities, may cause differential foundation settlements and structural damage. In this paper, a numerical model for soils under repeated dynamic loading is formulated. It is assumed that the dynamic part of the loading is small with respect to the static part, reflecting the stress conditions in the soil underneath buildings. As the plastic deformation in the soil is only observed after a considerable amount of dynamic loading cycles, only the accumulation of the average plastic deformation is considered. The model accounts for the dependency of the deformation on the stress conditions and the dynamic loading amplitude. The accumulation model is implemented in a finite element framework, using a consistent tangent approach in combination with a backward Euler integration scheme. A triaxial test is considered in a first numerical example. The available analytical solution for this problem allows to validate the numerical implementation. Second, the differential settlement of a two-storey building founded on loose sandy soil under repeated vehicle passages is considered. The differential foundation settlement causes the stresses to increase at the bottom of the wall, which may result in damage.

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Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models

Cited by 68 publications

References 22 publications

Shakedown and ratchetting under tension–torsion loadings: analysis and experiments

Shakedown and ratchetting under tension–torsion loadings: analysis and experiments

Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures

A numerical model for foundation settlements due to deformation accumulation in granular soils under repeated small amplitude dynamic loading

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