An adaptive level‐set method with enhanced volume conservation for simulations in multiphase domains

Shakoor, Modesar; Bouchard, Pierre‐Olivier; Bernacki, Marc

doi:10.1002/nme.5297

Cited by 30 publications

(48 citation statements)

References 43 publications

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“…When multiphase microstructures are studied, this operation becomes more complex to make sure that the mesh is compatible with the morphology of the phases. For instance, adaptive level-set method can be used [58]. In the present case, the simulations will not be performed at the microstructural scale but using a macroscopic description of the material behavior.…”

Section: Mesh Of the Roimentioning

confidence: 99%

Toward 4D mechanical correlation

Hild

Bouterf

Chamoin

et al. 2016

Adv. Model. and Simul. in Eng. Sci.

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Background: The goal of the present study is to illustrate the full integration of sensor and imaging data into numerical procedures for the purpose of identification of constitutive laws and their validation. The feasibility of such approaches is proven in the context of in situ tests monitored by tomography. The bridging tool consists of spatiotemporal (i.e., 4D) analyses with dedicated (integrated) correlation algorithms. Methods: A tensile test on nodular graphite cast iron sample is performed within a lab tomograph. The reconstructed volumes are registered via integrated digital volume correlation (DVC) that incorporates a finite element modeling of the test, thereby performing a mechanical integration in 4D registration of a series of 3D images. In the present case a non-intrusive procedure is developed in which the 4D sensitivity fields are obtained with a commercial finite element code, allowing for a large versatility in meshing and incorporation of complex constitutive laws. Convergence studies can thus be performed in which the quality of the discretization is controlled both for the simulation and the registration. Results: Incremental DVC analyses are carried out with the scans acquired during the in situ mechanical test. For DVC, the mesh size results from a compromise between measurement uncertainties and its spatial resolution. Conversely, a numerically good mesh may reveal too fine for the considered material microstructure. With the integrated framework proposed herein, 4D registrations can be performed and missing boundary conditions of the reference state as well as mechanical parameters of an elastoplastic constitutive law are determined in fair condition both for DVC and simulation.

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Section: Mesh Of the Roimentioning

confidence: 99%

Toward 4D mechanical correlation

Hild

Bouterf

Chamoin

et al. 2016

Adv. Model. and Simul. in Eng. Sci.

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show abstract

“…With Fitz, a body fitted meshing and remeshing is possible while using complex metric as previously described. It was then proved in [19] that this new mesher associated with a volume conservation constraint which is compatible both with implicit and body-fitted interfaces, the modification of the interface due to remeshing can be delayed enough so that a Lagrangian Level-Set method becomes more than interesting compared to an Eulerian Level-Set method, even when large deformations or displacements occur.…”

Section: Discussionmentioning

confidence: 99%

Introduction to the level-set full field modeling of laths spheroidization phenomenon in α/β titanium alloys

et al. 2017

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Abstract. Fragmentation of α lamellae and subsequent spheroidization of α laths in α/β titanium alloys occurring during and after deformation are well known phenomena. We will illustrate the development of a new finite element methodology to model them. This new methodology is based on a level set framework to model the deformation and the ad hoc simultaneous and/or subsequent interfaces kinetics. We will focus, at yet, on the modeling of the surface diffusion at the α/β phase interfaces and the motion by mean curvature at the α/α grain interfaces.

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“…• FE simulations at the microscale explicitly accounting for the morphology of the studied two-phase material [4,6].…”

Section: Methodsmentioning

confidence: 99%

“…To achieve this goal, three modern techniques are seamlessly coupled, namely, laminography to image in situ tested large flat samples made of ductile materials [2], digital volume correlation (DVC) to measure 3D displacement (and strain) fields in the bulk [3], and 2D/3D finite element simulations using the experimental information on multiple length-scales [4]. In this paper, the overall methodology will be presented first to show how these three techniques can be combined.…”

Section: Introductionmentioning

confidence: 99%

“…This step is facilitated by the use of level-set functions to represent interfaces between phases and by a dedicated body-fitted mesh adaption technique that also addresses volume conservation issues. Topological mesh adaption is applied automatically during mesh motion to reach large plastic strains while maintaining an appropriate discretization and preventing element flip [4]. In a more general framework, failure can be modeled for the void nucleation and coalescence stages.…”

Section: Fe Modelingmentioning

confidence: 99%

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Numerical modeling of ductile fracture at the microscale combined with X-ray laminography and digital volume correlation

Bouchard

Navas

Shakoor

et al. 2017

AIP Conference Proceedings

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Abstract. Predicting ductile fracture for complex loading paths is essential within the framework of metal forming processes. Most models are developed and used at the macroscopic scale and do not account explicitly for material microstructures. This paper describes a methodology aiming at understanding and modeling ductile damage mechanisms at the microscale. This methodology relies on (i) the acquisition of X-Ray laminography pictures during in-situ tensile tests, (ii) digital volume correlation (DVC) to measure 3D displacement and strain fields in the bulk and (iii) 3D finite element (FE) modeling of the heterogeneous microstructure including ductile damage mechanisms. The methodology is illustrated on nodular graphite cast iron. FE simulations of the heterogeneous microstructure are conducted and compared with DVC results and the influence of boundary conditions is discussed.

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An adaptive level‐set method with enhanced volume conservation for simulations in multiphase domains

Cited by 30 publications

References 43 publications

Toward 4D mechanical correlation

Toward 4D mechanical correlation

Introduction to the level-set full field modeling of laths spheroidization phenomenon in α/β titanium alloys

Numerical modeling of ductile fracture at the microscale combined with X-ray laminography and digital volume correlation

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