Continuum Thermodynamics

Germain, P.; Nguyen, Quoc Son; Suquet, Pierre

doi:10.1115/1.3167184

Cited by 700 publications

(427 citation statements)

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“…It follows that the existence of a free-energy density can be assumed from which the entropy density and the stress can be derived. Some detailed and overall results on internal variable and constrained equilibrium state have been obtained by Kestin and Rice [17], Germain, Nguyen and Suquet [18], Maugin and Muschik [19], Chaboche [20,21] and Yang et al [22,23] and others.…”

Section: Thermodynamics With Internal Variablesmentioning

confidence: 99%

Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics

Leng

Yang

2011

Entropy

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Abstract:Within the thermodynamic framework with internal variables, the classical Hamilton's principle for elastic bodies is extended to inelastic bodies composed of materials whose free energy densities are point functions of internal variables, or the so-termed Green-inelastic bodies, subject to finite deformation and non-conservative external forces. Yet this general result holds true even without the Green-inelasticity presumption under a more general interpretation of the infinitesimal internal rearrangement. Three special cases are discussed following the generalized form: (a) the Green-elastic bodies whose free energy can be identified with the strain energy; (b) the Green-inelastic bodies composed of materials compliant with the additive decomposition of strain; and (c) the Green-inelastic bodies undergoing isothermal relaxation processes where the thermodynamic forces conjugate to internal variables, or the so-termed internal forces prove to be potential forces. This paper can be viewed as an extension of Yang et al. [1].

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Section: Thermodynamics With Internal Variablesmentioning

confidence: 99%

Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics

Leng

Yang

2011

Entropy

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“…Le cadre théorique qui a permis le développement des modèles de monocristal a été construit dans les années 70 [1][2][3][4][5][6], et les premières applications ont suivi quelques années plus tard [7,8]. L'histoire de la plasticité cristalline est donc bien connue, elle peutêtre consultée dans quelques livres de référence, comme [9,10].…”

Section: Introductionunclassified

Une introduction à la plasticité cristalline interactions avec l'environnement

Cailletaud

2009

PlastOx 2007 - Mécanismes Et Mécanique Des Interactions Plasticité - Environnement

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Résumé. Cette partie est une introduction aux modèles phénoménologiques de plasticité cristalline. On discute leurs propriétés, et leurs utilisations dans le cadre de modélisations de microstructures. Les versions plastiques et viscoplastiques sont citées. Les applications portent sur des monocristaux ou des polycristaux. Dans ce dernier cas, on a privilégié les modèles éléments finis, qui permettent de véritables calculs de microstructures. L'exposé se conclut par quelques exemples dans lesquels l'environnement jour un rle important.

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“…Finally, using the estimated plastic strain thresholds and R (shown in Fig. 14), the accumulated energy at damage initiation (or energy threshold) can be estimated using Eq (30) The energy values are tabulated in Table 5. For 0.25% and 0.4% cases, damage initiation energies are within ±3% however 0.2% case give energy value around 1.6 times higher than the other cases.…”

Section: Determination Of Damage Initiation Parametersmentioning

confidence: 99%

“…Therefore, alternative non local damage approach has been proposed [30,31] to model macroscopic stress-strain behaviour as volume average of microscopic cells over a RVE.…”

Section: Introductionmentioning

confidence: 99%

Determination of material parameters for a unified viscoplasticity-damage model for a P91 power plant steel

Kyaw

Rouse

et al. 2016

International Journal of Mechanical Sciences

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The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. AbstractSocietal pressures are mounting on electricity operators to operate traditional fossil-fuel power plants in an efficient and flexible manner in conjunction with renewable power plants. This requires the uses of high frequency start up -shut down load profiles in order to better match market demands. As such, high temperature/pressure components such as steam pipe sections and headers experience fluctuating mechanical and thermal loads. There is therefore an industrial need for the accurate prediction of fatigue and creep damage in order to estimate remnant component life. In the present work, a continuum damage model has been coupled with a Chaboche unified viscoplastic constitutive model in order to predict stress-strain behaviour of a P91 martensitic steel (a material used for power plant steam pipes) due to cyclic plasticity and damage accumulation. The experimental data used here are from the previous work [1]. Cyclic fully reversed strain controlled experiments (±0.4%, ±0.25% and ±0.2% strain ranges) and cyclic test with a dwell period (±0.5% strain ranges) for a P91 martensitic steel under isothermal conditions (600°C) are utilised. The physically relevant material parameters are determined and optimised using experimental results. Although many material parameter identification procedures can be found in the literature [1][2][3][4][5][6], there are uncertainties in determining the limits for the parameters used in the optimisation procedure. This could result in unrealistic parameters while optimising using experimental data. The issue is addressed here by using additional dwell test to identify the limits for stress relaxation parameters before using Cottrell's stress partition method to identify the limits for strain hardening parameters. Accumulated stored energy for damage initiation criterion and damage evolution parameters are also extracted from the experimental results. The estimated failure lifetimes for ±0.4%, ±0.25% and ±0.2% cases are 1600, 4250 and 9500 cycles, respectively, as opposed to 1424, 3522 and 10512 cycles as given by experiments.

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Continuum Thermodynamics

Cited by 700 publications

References 0 publications

Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics

Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics

Une introduction à la plasticité cristalline interactions avec l'environnement

Determination of material parameters for a unified viscoplasticity-damage model for a P91 power plant steel

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