A unified approach for high and low cycle fatigue based on shakedown concepts

Constantinescu, Andréï; Van, K. Dang; Maitournam, M.H.

doi:10.1046/j.1460-2695.2003.00675.x

Cited by 65 publications

(55 citation statements)

References 15 publications

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“…45,84 Computational methods for the lifetime assessment of stents are discussed based on a shakedown analysis of the fatigue phenomena, as treated in, e.g., Ref. 21. More precisely, the shakedown analysis classifies the mechanical stress-strain response of a structure under cyclic loading in three main categories: (i) elastic shakedown if the response is linear and no hysteretic loop is observed, (ii) plastic shakedown if the response exhibits a hysteretic loop, and (iii) ratcheting if the response is a non-closed path drifting to larger-andlarger strains.…”

Section: Computational Approaches For the Lifetime Assessment Of Stentsmentioning

confidence: 99%

Fatigue of Metallic Stents: From Clinical Evidence to Computational Analysis

et al. 2015

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The great success of stents in treating cardiovascular disease is actually undermined by their long-term fatigue failure. The high variability of stent failure incidence suggests that it is due to several correlated aspects, such as loading conditions, material properties, component design, surgical procedure, and patient functional anatomy. Numerical and experimental non-clinical assessments are included in the recommendations and requirements of several regulatory bodies and they are thus exploited in the analysis of stent fatigue performance. Optimization-based simulation methodologies have been developed as well, to improve the fatigue endurance of novel designs. This paper presents a review on the fatigue issue in metallic stents, starting from a description of clinical evidence about stent fracture up to the analysis of computational approaches available from the literature. The reported discussion on both the experimental and numerical framework aims at providing a general insight into stent lifetime prediction as well as at understanding the factors which affect stent fatigue performance for the design of novel components.

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Section: Computational Approaches For the Lifetime Assessment Of Stentsmentioning

confidence: 99%

Fatigue of Metallic Stents: From Clinical Evidence to Computational Analysis

et al. 2015

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“…The case of elastic shakedown was identified as the most favorable for the electromechanical efficiency because the hysteresis in the charge-voltage response was found to be reduced. It can be added that elastic shakedown is also expected to be fa-vorable for the mechanical fatigue behavior (Constantinescu et al, 2003). Building on such arguments, elastic shakedown appears as the most desirable regime for lithium-ion batteries.…”

Section: Consequencesmentioning

confidence: 99%

“…5 we focus on the particular case of elastic shakedown which is arguably the most beneficial with respect to fatigue (see e.g. Constantinescu et al (2003) and references therein). Our objective is to obtain a priori restrictions on the loading for ensuring that elastic shakedown occurs, in the spirit of Melan theorem in standard plasticity (Melan, 1936;Koiter, 1960;Symonds, 1951).…”

Section: Introductionmentioning

confidence: 99%

Cyclic steady states in diffusion-induced plasticity with applications to lithium-ion batteries

Peigney

2018

Journal of the Mechanics and Physics of Solids

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Electrode materials in lithium-ion batteries offer an example of medium in which stress and plastic flow are generated by the diffusion of guest atoms. In such a medium, deformation and diffusion are strongly coupled processes. For designing electrodes with improved lifetime and electro-mechanical efficiency, it is crucial to understand how plasticity and diffusion evolve over consecutive charging-recharging cycles. With such questions in mind, this paper provides general results for the large-time behavior of media coupling plasticity with diffusion when submitted to cyclic chemo-mechanical loadings. Under suitable assumptions, we show that the stress, the plastic strain rate, the chemical potential and the flux of guest atoms converge to a cyclic steady state which is largely independent of the initial state. A special emphasis is laid on the special case of elastic shakedown, which corresponds to the situation where the plastic strain stops evolving after a sufficiently large number of cycles. Elastic shakedown is expected to be beneficial for the fatigue behavior and -in the case of lithium-ion batteries -for the electro-chemical efficiency. We provide a characterization of the chemo-mechanical loadings for which elastic shakedown occurs. Building on that characterization, we suggest a general method for designing structures in such fashion that they operate in the elastic shakedown regime, whatever the initial state is. An attractive feature of the proposed method is that incremental analysis of the fully coupled plasticity-diffusion problem is avoided. The results obtained are applied to the model problem of a battery electrode cylinder particle under cyclic charging. Closed-form expressions are obtained for the set of charging rates and charging amplitudes for which elastic shakedown occurs, as well as for the corresponding cyclic steady states of stress, lithium concentration and chemical potential. Some results for a spherical particle are also presented.

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“…Depending on the specific form of these theories, the relevant stresses for fatigue analysis are estimated at a certain distance from the notch (point method), or averaged along a line (line method) or along an area (area method). [3,4,5] The aim of this paper is to study the suitability of the Dang Van criterion, [6,7,8] which is associated with an adequate representative volume element (or critical volume) for the estimation of the fatigue strength of notched specimens. It is based on elastic-plastic simulations and calibrated with tests conducted at CETIM on smooth and notched specimens subjected to: tension-compression with or without mean stress; rotating-bending; fully reversed torsion.…”

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Fatigue Design of Notched Components with Stress Gradients and Cyclic Plasticity

Maitournam¹,

Van²,

Flavenot³

2009

Adv Eng Mater

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Conference: 27th Spring Meeting on Fatigue and Plasticity Paris, FRANCE, 2008International audienceThis paper shows that fatigue strength of notched specimens under cyclic loading can be simply and accurately estimated by using elastic-plastic computations and averaging stress over a critical volume obtained by an optimisation process minimizing the dispersion between experiments and simulations. The Dang Van high cycle fatigue criterion is considered. Fatigue tests (tension-compression, bending and torsion) carried out by the Cetim, are used to calibrate the critical volume

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A unified approach for high and low cycle fatigue based on shakedown concepts

Cited by 65 publications

References 15 publications

Fatigue of Metallic Stents: From Clinical Evidence to Computational Analysis

Fatigue of Metallic Stents: From Clinical Evidence to Computational Analysis

Cyclic steady states in diffusion-induced plasticity with applications to lithium-ion batteries

Fatigue Design of Notched Components with Stress Gradients and Cyclic Plasticity

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