Nonlocal Modeling and Simulation of Ductile Damage and Failure in Metal Matrix Composites

Reusch, F.; Hortig, Christian; Svendsen, Bob

doi:10.1115/1.2840967

Cited by 12 publications

(7 citation statements)

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“…the models by Chen and Yuan (2002); Zhang et al (2018), and (iii) implicit gradient type, see e.g. the developments by Ramaswamy and Aravas (1998); Reusch et al (2003b,a);Håkansson et al (2006); Reusch et al (2008); Linse et al (2012); Hütter et al (2013); Hütter et al (2014); Zybell et al (2014). The integral and implicit gradient types are found to be largely equivalent and referred to being strongly nonlocal while explicit gradient type can be considered as being weakly nonlocal (Peerlings et al, 2001).…”

Section: Introductionmentioning

confidence: 93%

“…The implicit gradient type is employed in this work since it can be more easily integrated into a standard finite element implementation in comparison with the integral type (Peerlings et al, 1996). In the implicit gradient type, either the porosity (Ramaswamy and Aravas, 1998;Håkansson et al, 2006), the effective porosity (considered in the GTN model after applying the void expansion acceleration) (Reusch et al, 2003b(Reusch et al, ,a, 2008, or the volumetric equivalent plastic strain (Linse et al, 2012;Hütter et al, 2013;Hütter et al, 2014;Zybell et al, 2014) is generally chosen as a nonlocal variable.…”

Section: Introductionmentioning

confidence: 99%

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A nonlocal approach of ductile failure incorporating void growth, internal necking, and shear dominated coalescence mechanisms

Nguyễn

Pardoen²,

Noels

2020

Journal of the Mechanics and Physics of Solids

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An advanced modeling framework is developed for predicting the failure of ductile materials relying on micromechanics, physical ingredients, and robust numerical methods. The approach is based on a hyperelastic finite strain multi-surface constitutive model with multiple nonlocal variables. The three distinct nonlocal solutions for the expansion of voids embedded in an elastoplastic matrix are considered: a void growth phase governed by the Gurson-Tvergaard-Needleman yield surface, a void necking coalescence phase governed by a heuristic extension of the Thomason yield surface based on the maximum principal stress, and a competing void shearing coalescence phase triggered by the maximum shear stress. The first solution considers the diffused plastic deformation around the voids while the last two solutions correspond to a state of plastic localization between neighboring voids. This combination captures the Lode variable and shear effects, which play important roles in dictating the damage evolution rates. The implicit nonlocal formulation with multiple nonlocal variables, including the volumetric and deviatoric parts of the plastic strain, and the mean equivalent plastic strain of the matrix, regularizes the problem of the loss of solution uniqueness when material softening occurs whatever the localization mechanism. The predictive capability of the proposed model is demonstrated through different numerical simulations in which complex failure patterns such as slant and cup-cone of respectively plane strain and axisymmetric samples under tensile loading conditions develop.

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Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

A nonlocal approach of ductile failure incorporating void growth, internal necking, and shear dominated coalescence mechanisms

Nguyễn

Pardoen²,

Noels

2020

Journal of the Mechanics and Physics of Solids

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“…Examples of microstructure simulation based on this approach are (Austin et al, 2006;Clements et al, 2006;Ionita and Weitsman, 2006;Mas et al, 2006;Reusch et al, 2008).…”

Section: Rsve Of Idealized Particle Systemmentioning

confidence: 99%

A hierarchical framework for the multiscale modeling of microstructure evolution in heterogeneous materials.

Luscher¹

2010

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ACKNOWLEDGEMENTSAs far as I am concerned, there is no better way to celebrate a success than to share the credit with those that have contributed to the effort. Here I share credit with those people that have had tremendous impact to the successful completion of requirements for my PhD degree at Georgia Tech, including this dissertation.Of primary importance in this acknowledgement is to convey how substantial I consider my wife's sacrifices over the last five years. With the sole exception of unmarried PhD candidates, Ido not imagine that there exists a PhD thesis whose acknowledgement section does not make reference to the author's spouse. So I strive to make this acknowledgement of my wife's contributions to my success so compelling and unique that it escapes the status of 'formality'. To attempt this, I will provide a single anecdote selected from five years of worthy material.Stephanie Luscher endured months alone keeping our house in Los Alamos while I was in Atlanta attending classes and fulfilling residency requirements. During that time, she continued working as an engineering design review coordinator at Los Alamos National Lab. While in Oregon to visit family during the winter of 2004-5, a water pipe inside our Los Alamos house froze and burst. Over the next week, 90,000 gallons of water flowed throughout our house ruining just about everything. We returned home and opened soggy Christmas presents from the relative comfort of our car parked in the driveway while contemplating our next course of action.Our house required extensive repairs including a new heating system, kitchen cabinets, flooring, and complete refinishing of the interior walls. We lived in a motor home, a rented house, and a hotel over the course of six months of these repairs. Within two weeks of this happening, I was back in Atlanta and Stephanie was left to manage the reconstruction effort by herself. Of course, this is a single example of how Stephanie has sacrificed, and tended to the many details of life, in order to allow me to focus attention on the work presented within this thesis. Stephanie, I thank iv you for the support and sacrifice you have made to help me accomplish this goal. I'm glad you embraced "my goal" as "our goal."Well in advance of thoughts regarding graduate school, my parents instilled a few helpful traits in me. As a young boy, during hot summers spent roofing with my Dad, Mark Luscher, I learned to work hard and to play hard. My Dad taught me that sometimes "getting the job done" is not elegant; it simply requires you to roll up your sleeves and get to work. As a complement to this, my Mom taught me the importance of precision and attention to detail. Together, my parents have taught me the importance of family, which supersedes all else. Engineering division leader (W-DO), gave me opportunities to excel within the weapons program. Ryan Maupin, group leader for Advanced Engineering Analysis (W-13) has enthusiastically supported and trusted me, both as my manager and friend, to pursue a course of research th...

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“…In many studies (e.g. Samal et al (2008), Seidenfuss et al (2011), andReusch et al (2008)), the local values are fixed at the moment of failure, although the fully failed zone still has to be solved for equilibrium. Linse et al (2012) tried to introduce a new surface with trivial Neumann boundary conditions where failure occurred, but faced severe numerical problems.…”

Section: Introductionmentioning

confidence: 99%

Numerical implementation of a non-local GTN model for explicit FE simulation of ductile damage and fracture

Bergo

Morin

Hopperstad

2021

International Journal of Solids and Structures

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In this study, we follow the work of Tvergaard & Needleman (1995), Tvergaard & Needleman (1997) and Needleman & Tvergaard (1998) and present the numerical implementation and some initial applications of a non-local Gurson-Tvergaard-Needleman (GTN) model for explicit finite element (FE) analysis. The delocalization relates to the damage mechanism and is incorporated in terms of an integral condition on the rate of change of the porosity. In order to demonstrate the mesh independence during all stages of ductile damage and fracture, several material test specimens have been simulated until full fracture using different mesh sizes. For comparison purposes, results are also obtained for the corresponding local GTN model in all cases. The effect of the material characteristic length on the ductile damage and fracture behavior and on the mesh sensitivity of the results is discussed. It is shown that simulation results obtained in all stages of the ductile fracture process, including void growth, fracture initiation by coalescence and crack propagation all the way to a fully fractured specimen, are mesh independent from a certain ratio of mesh size relative to the material characteristic 2 length, provided the non-local integral is evaluated on the current configuration. This ratio is unique for each individual specimen simulated as it depends on the spatial gradients of the porosity and the material parameters adopted for the problem at hand. It is shown that excessive averaging at large deformations occurs if the non-local integral is evaluated on the reference configuration, i.e., without updating the element interaction matrix resulting from the discretization of the non-local integral.

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Nonlocal Modeling and Simulation of Ductile Damage and Failure in Metal Matrix Composites

Cited by 12 publications

References 12 publications

A nonlocal approach of ductile failure incorporating void growth, internal necking, and shear dominated coalescence mechanisms

A nonlocal approach of ductile failure incorporating void growth, internal necking, and shear dominated coalescence mechanisms

A hierarchical framework for the multiscale modeling of microstructure evolution in heterogeneous materials.

Numerical implementation of a non-local GTN model for explicit FE simulation of ductile damage and fracture

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