Crack growth modelling in single crystals based on higher order continua

Aslan, Özgür; Forest, Samuel

doi:10.1016/j.commatsci.2008.09.016

Cited by 28 publications

(19 citation statements)

References 16 publications

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“…This model can simulate the slip localisation at the crack tip as predicted by Rice [16]. It was later used to simulate fatigue crack propagation based on continuum damage mechanics [17].…”

Section: Introductionmentioning

confidence: 99%

3D simulation of short fatigue crack propagation by finite element crystal plasticity and remeshing

Proudhon

Wang

et al. 2016

International Journal of Fatigue

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“…This model can simulate the slip localisation at the crack tip as predicted by Rice [16]. It was later used to simulate fatigue crack propagation based on continuum damage mechanics [17].…”

Section: Introductionmentioning

confidence: 99%

3D simulation of short fatigue crack propagation by finite element crystal plasticity and remeshing

Proudhon

Wang

et al. 2016

International Journal of Fatigue

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“…Cook and Weitsman [19], Eshel and Rosenfeld [20,21]). More recently, this approach and related extensions have been employed to analyze various problems involving, among other areas, fracture (Chen et al [22], Shi et al [23], Georgiadis [24], Radi and Gei [25], Grentzelou and Georgiadis [26,27], Gourgiotis and Georgiadis [28], Aravas and Giannakopoulos [29], Aslan and Forest [30], Gourgiotis et al [31], Piccolroaz et al [32], Sciarra and Vidoli [33]), wave propagation (see e.g. Maugin and Miled [34], Engelbrecht et al [35], dell'Isola et al [36], Polyzos and Fotiadis [37], Gourgiotis et al [38]), poroelasticity (Madeo et al [39]), mechanics of defects (Lazar and Maugin [40,41], Forest [42]), and stress concentration due to discrete loadings (Georgiadis and Anagnostou [14], Exadaktylos [43], Lazar and Maugin [44]).…”

Section: Introductionmentioning

confidence: 99%

The Boussinesq problem in dipolar gradient elasticity

2014

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The three-dimensional axisymmetric Boussinesq problem of an isotropic half-space subjected to a concentrated normal quasi-static load is studied within the framework of linear dipolar gradient elasticity. Our main concern is to determine possible deviations from the predictions of classical linear elastostatics when a more refined theory is employed to attack the problem. Of special importance is the behavior of the new solution near to the point of application of the load where pathological singularities exist in the classical solution. The use of the theory of gradient elasticity is intended here to model the response of materials with microstructure in a manner that the classical theory cannot afford. A linear version of this theory results by considering a linear isotropic expression for the strain-energy density that depends on strain-gradient terms, in addition to the standard strain terms appearing in classical elasticity. Through this formulation, a microstructural material constant is introduced, in addition to the standard Lamé constants. The solution method is based on integral transforms and is exact. The present results show significant departure from the predictions of classical elasticity. Indeed, continuous and bounded displacements are predicted at the points of application of the concentrated load. Such a behavior of the displacement field is, of course, more natural than the singular behavior exhibited in the classical solution.---

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“…In the previous work (Aslan and Forest, 2009), mesh dependency of the model for brittle damage has been overcome by a regularization procedure based on microdamage theory derived from micromorphic approach introduced by (Eringen and Suhubi, 1964). The main motivation for switching to a higher order continuum theory was introducing an intrinsic length-scale in order to capture size effects and to deal with mesh size and alignment dependency of the approach within a thermodynamically consistent framework.…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Fatigue Crack Growth in Single Crystals Based on Microdamage Theory

Aslan

Quilici

Forest

2011

International Journal of Damage Mechanics

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Proper life-time prediction modeling of single crystalline components is of increasing importance due to their common use in turbine industry. Viscoplastic damage approaches are of great interest in that context. However, mechanical properties of single crystals are strongly anisotropic and nonlinear in service conditions, bringing certain complexity into constitutive and numerical modeling. The aim of this work is to develop a thermodynamically consistent constitutive model based on generalized continua in order to simulate fatigue crack initiation and growth in single crystals. For that purpose, a standard crystal plasticity model is taken as a basis and coupled with the continuous damage model developed by Marchal et al. MoretSurLoing, France, Presses de l'Ecole des mines de Paris, pp. 353358]. As a variant of micromorphic theory, microdamage approach is applied to the model in order to obtain a regularized continuum damage formulation which solves mesh dependency problem by introducing an intrinsic length scale. A detailed finite element implementation procedure and its validation for monotonic crack growth areshown. Fatigue crack growth analyses have been performed on a single edge notched geometry and a comparison between numerical and experimental results is presented.

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Crack growth modelling in single crystals based on higher order continua

Cited by 28 publications

References 16 publications

3D simulation of short fatigue crack propagation by finite element crystal plasticity and remeshing

3D simulation of short fatigue crack propagation by finite element crystal plasticity and remeshing

The Boussinesq problem in dipolar gradient elasticity

Numerical Modeling of Fatigue Crack Growth in Single Crystals Based on Microdamage Theory

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