An implicit-gradient-enhanced incremental-secant mean-field homogenization scheme for elasto-plastic composites with damage

Wu, Ling; Noels, Ludovic; Adam, Laurent; Doghri, Issam

doi:10.1016/j.ijsolstr.2013.07.022

Cited by 44 publications

(86 citation statements)

References 71 publications

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“…This has been done in [29] in the context of a Lemaitre-Chaboche damage model [30,31] formulated in a non-local way [32][33][34][35]. The non-local formulation of the damage evolution is required in order to avoid the loss of the solution uniqueness at the structural level.…”

Section: Non-local Damage-enhanced Incremental-secant Approachmentioning

confidence: 99%

“…the method directly provides isotropic instantaneous stiffness operators, avoiding the isotropisation step, and the method remains accurate in case of non-monotonic and non-proportional loadings, the method is of particular interest when considering material behaviour with strain softening [28,29]. Indeed, because the secant formulation is applied from a virtually unloaded state, one phase of the composite material can be elastically unloaded during the softening of the other phase, contrarily to what happens with an incremental-tangent method [29]. In this last case, a Lemaitre-Chaboche damage model [30,31] formulated in nonlocal way [32][33][34][35] is adopted.…”

Section: Introductionmentioning

confidence: 99%

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An incremental-secant mean-field homogenization method with second statistical moments for elasto-plastic composite materials

Doghri

Noels

2015

Philosophical Magazine

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In this paper, the incremental-secant mean-field homogenisation (MFH) scheme recently developed by the authors is extended to account for second statistical moments.The incremental-secant MFH method possesses several advantages compared to other MFH methods. Indeed the method can handle non-proportional and non-monotonic loadings, while the instantaneous stiffness operators used in the Eshelby tensor are naturally isotropic, avoiding the isotropisation approximation required by the affine and incremental-tangent methods. Moreover, the incremental-secant MFH formalism was shown to be able to account for material softening when extended to include a non-local damage model in the matrix phase, thus enabling an accurate simulation of the onset and evolution of damage across the scales.In this work, by accounting for a second statistical moment estimation of the current yield stress in the composite phases, the plastic flow computation allows capturing with a better accuracy the plastic yield in the composite material phases, which in turn improves the accuracy of the predictions, mainly in the case of short fibre composite materials. The incremental-secant mean-field-homogenisation (MFH) can thus be used to model a wide variety of composite material systems with a good accuracy.

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Section: Non-local Damage-enhanced Incremental-secant Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An incremental-secant mean-field homogenization method with second statistical moments for elasto-plastic composite materials

Doghri

Noels

2015

Philosophical Magazine

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“…1 Note that an anisotropic version of the non-local implicit equations (16) and (17) exists for composite materials, e.g. [45].…”

Section: Implicit Non-local Damage Modelmentioning

confidence: 99%

“…(45), matches within a few percents error the results obtained by solving the strict non-local continuous problem, if the damage is rather high. Hence, we will use this estimation (45) to obtain the equivalent cohesive law of the non-local model and later to define the transition from a continuous CDM to a discontinuous CZM. Now let us consider the Eqs.…”

Section: Application To the Case Of An Exponential Non-local Damage Lawmentioning

confidence: 99%

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Elastic damage to crack transition in a coupled non-local implicit discontinuous Galerkin/extrinsic cohesive law framework

Becker

Noels

2014

Computer Methods in Applied Mechanics and Engineering

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One current challenge related to computational fracture mechanics is the modeling of ductile fracture and in particular the damage to crack transition. On the one hand, continuum damage models, especially in their non-local formulation which avoids the loss of solution uniqueness, can capture the material degradation process up to the localization of the damage, but are unable to represent a discontinuity in the structure. On the other hand cohesive zone methods can represent the process zone at the crack tip governing the crack propagation, but cannot account for the diffuse material damaging process.In this paper we propose to combine, in a small deformations setting, a non-local elastic damage model with a cohesive zone model. This combination is formulated within a discontinuous Galerkin finite element discretization. Indeed this DG weak formulation can easily be developed in a non-local implicit form and naturally embeds interface elements that can be used to integrate the traction separation law of the cohesive zone model. The method remains thus consistent and computationally efficient as compared to other cohesive element approaches.The effects of the damage to crack transition and of the mesh discretization are respectively studied on the compact tension specimen and on the double-notched specimen, demonstrating the efficiency and accuracy of the method.

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An implicit-gradient-enhanced incremental-secant mean-field homogenization scheme for elasto-plastic composites with damage

Cited by 44 publications

References 71 publications

An incremental-secant mean-field homogenization method with second statistical moments for elasto-plastic composite materials

An incremental-secant mean-field homogenization method with second statistical moments for elasto-plastic composite materials

Elastic damage to crack transition in a coupled non-local implicit discontinuous Galerkin/extrinsic cohesive law framework

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