An anisotropic mesh adaptation strategy for damage and failure in ductile materials

Khaoulani, Rachid El; Bouchard, Pierre

doi:10.1016/j.finel.2012.04.006

Cited by 26 publications

(13 citation statements)

References 19 publications

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“…This approach has also been used by Andrade Pires et al (2004), with the argument that one must ensure that elements with high total damage work must be removed from the FE mesh to avoid non physical fracture patterns close to the crack tip. Vaz and Owen (2001); Andrade Pires et al (2004); Borouchaki et al (2005); Areias et al (2015); El khaoulani and Bouchard (2012 proposed to couple element erosion to mesh adaption in order to reduce mass loss issues raised by the deletion of elements. These adaptive element erosion methods are reviewed in Subsection 4.4.…”

Section: Element Erosionmentioning

confidence: 99%

“…For a first order FE interpolation, the interpolation error is given by the Hessian matrix. Therefore, El khaoulani and Bouchard (2012) reconstructed Hessian matrices of both the damage variable and its rate and used them to build an anisotropic mesh size field, also known as metric tensor. This tensor was given as input to an anisotropic mesh adaption algorithm developed by Gruau and Coupez (2005).…”

Section: Mesh Adaption In the Continuous Regimementioning

confidence: 99%

“…Element erosion is hence the most straightforward method to use in combination with both isotropic and anisotropic mesh adaption based on the damage variable, its rate, or the energy release rate. This option was chosen by Vaz and Owen (2001); Andrade Pires et al (2004); Borouchaki et al (2005); Areias et al (2015) with no regularization and by El khaoulani and Bouchard (2012 using non local implicit gradient theory. An example of simulation result with anisotropic mesh adaption and element erosion is shown in Figure 15.…”

Section: Remeshing Based Continuous-discontinuous Transition Modelingmentioning

confidence: 99%

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Computational Methods for Ductile Fracture Modeling at the Microscale

Shakoor

Navas

Muñoz

et al. 2018

Arch Computat Methods Eng

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This paper is a state-of-the-art review of computational damage and fracture mechanics methods applied to model ductile fracture at the microscale. An emphasis is made on robust and stable methods that can handle heterogeneous structures, large deformations, and cracks initiation and coalescence. Ductile materials' microstructures feature brittle and ductile components whose heterogeneous behavior can give raise to cracks initiation due to stress concentration. Due to large deformations, cracks initiated by brittle components failure transform into large voids. These major voids interact and coalesce by plastic localization within ductile components and lead to final failure. This process can involve minor voids nucleated directly within ductile components at sub-micron scales. State-of-the-art discontinuous approaches can be applied to discretize accurately brittle components and model their failure, given that large deformations can be handled. For ductile components, continuous approaches are discussed in this review as they can model the homogenized influence of minor voids, hence alleviating the burden and computational cost overhead that an explicit discretization of those voids would require. Close to final failure, when major voids are coalescing, and the influence of minor voids becomes compa-

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Section: Element Erosionmentioning

confidence: 99%

Section: Mesh Adaption In the Continuous Regimementioning

confidence: 99%

Section: Remeshing Based Continuous-discontinuous Transition Modelingmentioning

confidence: 99%

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Computational Methods for Ductile Fracture Modeling at the Microscale

Shakoor

Navas

Muñoz

et al. 2018

Arch Computat Methods Eng

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“…The Lemaitre damage model described in (eq. 2) is implemented in the Cimlib library (El Khaoulani and Bouchard 2012). The damage evolution is coupled to an elastic plastic behavior.…”

Section: Introductionmentioning

confidence: 99%

On the interest of using full field measurements in ductile damage model calibration

Roux

Bouchard

2015

International Journal of Solids and Structures

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International audienceThis paper is focused on the identification method by inverse analysis of ductile damage model parameters. The Lemaitre damage model is considered. The aim is to assess the interest of using local measurements, such as full field measurements, in the calibration process. Basic approach using only load-displacement measurements from a tensile test is first described and discussed. Secondly necking measurements are added in the calibration process. And finally an inverse analysis approach including full field measurements in a large deformation framework is presented. For each step particular attention is paid to the definition of the objective function to catch efficiently the softening behavior and the fracture of the sample. This step-by-step approach allows understanding the lack of information embedded in the load-displacement curve to calibrate such a model. It also highlights the multi-extrema aspect of the optimization problem. The introduction of local measurements, as necking and even more as displacement fields, is an efficient way of overcoming this lack of information. The analysis is based on kriging response-surfaces built during the minimization of the objective function. These surfaces highlight the weak sensitivity of one of the Lemaitre model parameters (the b parameter) when only the load-displacement curve is taken into account. The sensitivity is then improved when local measurements are considered. The use of local measurement also leads to the removal of correlation between model parameters

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“…Hamide et al [26] modelled arc welding on a steel plate using a thermo-mechanical [27] applied an automatic mesh adaptation method to model cracking in tensile tests of aluminium rods and similarly found that triangular elements eventually rearrange to become stretched orthogonally to directions of steep strain gradient. Both of the preceding cases effectively lead to an overall mesh rotation.…”

Section: Introductionmentioning

confidence: 99%

On the relationship between mesh and stress field orientations in linear stability analyses of thin plates and shells

Sadowski

Rotter

2013

Finite Elements in Analysis and Design

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Many problems in structural mechanics involve complex principal stress fields that are not orthogonal to the geometric axis of the structure. Such problems are often analysed with finite elements, but the quality of a finite element solution may be sensitive to the orientation of the mesh with respect to the principal axes of stress. This paper presents the outline of a procedure to generate well-structured inclined quadrilateral finite element meshes for the analysis of thin plate and shell structures. The procedure was developed using the commercial FE pre-processor ABAQUS CAE and the Python script language, though it may readily be applied in any pre-processor which supports an external scripting functionality.A set of mesh convergence studies using linear buckling analyses are presented on four benchmark problems with known analytical solutions to illustrate the effect of inclined meshes on the accuracy of the computed solution. These illustrations are intended to raise an awareness of the subtle but important relationship between mesh and stress field orientation and are presented for the benefit of practising finite element analysts in structural engineering.

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An anisotropic mesh adaptation strategy for damage and failure in ductile materials

Cited by 26 publications

References 19 publications

Computational Methods for Ductile Fracture Modeling at the Microscale

Computational Methods for Ductile Fracture Modeling at the Microscale

On the interest of using full field measurements in ductile damage model calibration

On the relationship between mesh and stress field orientations in linear stability analyses of thin plates and shells

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