A non-local extension of Gurson-based ductile damage modeling

Reusch, F.; Svendsen, Bob; Klingbeil, Dietmar

doi:10.1016/s0927-0256(02)00402-0

Cited by 66 publications

(26 citation statements)

References 13 publications

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“…general overviews in [11][12][13][14] and its application to thin-walled structures in [15][16][17][18][19][20] or porous plasticity models, e.g. [21][22][23][24], have already been extensively validated by means of numerous tests on laboratory test pieces, e.g. [15][16][17][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Application of the cohesive model for predicting the residual strength of a large scale fuselage structure with a two-bay crack

Cornec

Schönfeld

Schwalbe

et al. 2009

Engineering Failure Analysis

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The residual strength of a curved and stiffened panel containing a two-bay crack was assessed using the cohesive model. This panel represents a section of a wide-body aeroplane fuselage. The tests were conducted at IMA GmbH Dresden in cooperation with Airbus Industries Germany. The structural panel was modelled using 3D finite elements and a layer of cohesive elements ahead of each crack tip allowing for 70 mm crack extension. Identification of the cohesive parameters was done on small laboratory test pieces. Special effort was made for the transfer of these parameters to the structure.Reasonably conservative predictions of the residual strength of the panel were achieved.The boundary conditions of the loading devices of the test rig are shown to have substantial influence on the predictions.

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Section: Introductionmentioning

confidence: 99%

Application of the cohesive model for predicting the residual strength of a large scale fuselage structure with a two-bay crack

Cornec

Schönfeld

Schwalbe

et al. 2009

Engineering Failure Analysis

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“…Licht and Suquet 3) investigated the growth of a cylindrical cavity in a finite shell of a nonlinear power law viscous material and obtained a closed solution. Reusch et al 4) extended the Gurson' model to the case of isotropic ductile damage and crack growth. Perrin et al 5) presented an analytical and numerical study of accelerated void growth in porous ductile solids.…”

Section: Introductionmentioning

confidence: 99%

Constitutive Relation of Casting Aluminum Alloy A101 Involving Void Evolution

et al. 2005

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Casting aluminum alloys are highly heterogeneous materials with different types of voids that govern the mechanical behavior of the material. In this paper, based on the analysis of a cylindrical void model and the assumption of matrix incompressibility, the void evolution of a casting aluminum alloy is derived. Through the analysis of the micro-velocity and the strain fields of the cylindrical void model, an endochronic constitutive equation involving void evolution is obtained for cast aluminum alloys. The corresponding finite element procedure is developed and applied to the analysis of the mechanical behavior and the porosity of casting aluminum alloy A101. The computed results show satisfactory agreement with experimental data.

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“…In contrast to this, the extension of local Gurson-based damage modelling pursued here [7,8] retains the original Gurson modelling of as based on the evolution relation (5). Indeed, the non-local extension presented here is based on a scalar-valued continuum damage field .…”

Section: A Gradient Type Modification To the Evolution Equation Of Pomentioning

confidence: 99%

“…In the context of ductile damage, the non-local process of void coalescence is associated with this term [8]. For the solution of (9) in the context of an initial-boundary-value problem the Neumann boundary condition…”

Section: A Gradient Type Modification To the Evolution Equation Of Pomentioning

confidence: 99%

“…In particular, these are based on the introduction of a gradient type evolution equation of the damage variable regarding the spatial distribution of damage and thus the incorporation of a material length scale [6,7,8]. Such a non-local formulation of a damage model exhibits a multifield problem, which needs a closer look on the formulation of possible criteria for the preservation of the well-posedness of the underlying constitutive equations and thus the stability of the deformation process and the uniqueness of the obtained solution [10,11,12].…”

Section: Introductionmentioning

confidence: 99%

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On the Investigation of Material Stability during the Simulation of Ductile Damage in Metallic Materials

Reusch¹,

Svendsen²,

Martynyak³

et al.

Civil-Comp Proceedings

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INTRODUCTIONThe numerical analysis of ductile damage and failure in engineering materials is often based on the micromechanical model of Gurson [1,2,3] and is quite sufficient for a large number of applications in solid mechanics. However, numerical studies in the context of the finite-element method demonstrate that, as with other such types of local damage models, the numerical simulation of the initiation and propagation of damage zones is not reliable and strongly mesh-dependent. The numerical problems concern the global load-displacement response as well as the onset, size and orientation of damage zones and thus to the reliability of the obtained results [4,5].One possible way to overcome these problems with and shortcomings of the local modelling is the application of so-called non-local damage models. In particular, these are based on the introduction of a gradient type evolution equation of the damage variable regarding the spatial distribution of damage and thus the incorporation of a material length scale [6,7,8]. Such a non-local formulation of a damage model exhibits a multifield problem, which needs a closer look on the formulation of possible criteria for the preservation of the well-posedness of the underlying constitutive equations and thus the stability of the deformation process and the uniqueness of the obtained solution [10,11,12]. The development and application of a criterion for loss of ellipticity is presented and accounts for the regularisation of the solution obtained by the non-local Gurson model [12]. Furthermore the regularizing effects of the non-locality of the damage evolution are investigated and it's effect on the stability of the numerical solution is presented.

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A non-local extension of Gurson-based ductile damage modeling

Cited by 66 publications

References 13 publications

Application of the cohesive model for predicting the residual strength of a large scale fuselage structure with a two-bay crack

Application of the cohesive model for predicting the residual strength of a large scale fuselage structure with a two-bay crack

Constitutive Relation of Casting Aluminum Alloy A101 Involving Void Evolution

On the Investigation of Material Stability during the Simulation of Ductile Damage in Metallic Materials

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