Large deformation framework for phase-field simulations at the mesoscale

Borukhovich, Efim; Engels, P.; Mosler, Jörn; Shchyglo, Oleg; Steinbach, Ingo

doi:10.1016/j.commatsci.2015.06.021

Cited by 11 publications

(6 citation statements)

References 15 publications

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“…Multiplying the above expression with J and taking note of Eqs. (13) and (14) together with (4), the Clausius-Duhem inequality can equivalently be written as…”

Section: Constitutive and Evolution Equationsmentioning

confidence: 99%

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A Cosserat–phase-field theory of crystal plasticity and grain boundary migration at finite deformation

Ask

Forest

Appolaire

et al. 2018

Continuum Mech. Thermodyn.

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In metallic polycrystals, an important descriptor of the underlying microstructure is the orientation of the crystal lattice of each grain. During thermomechanical processing, the microstructure can be significantly altered through deformation, nucleation of new subgrains and grain boundary migration. Cosserat crystal plasticity provides orientation as a degree of freedom and is therefore a natural choice for the development of a coupled framework to deal with concurrent viscoplasticity and grain growth. In order to take into account grain boundary motion, the Cosserat theory is adapted with inspiration from orientation phase-field models. This allows for the microstructure at a material point to evolve on the one hand due to deformation-induced lattice reorientation and on the other hand due to a sweeping grain boundary. With a proper separation of plastic evolution in the bulk of the grain and in the grain boundary, the model can successfully capture grain boundary migration due to lattice curvature and due to statistically stored dislocations.Keywords Cosserat crystal plasticity · Phase-field method · Grain boundary migration Communicated by Francesco dell'Isola.A. Ask · S. Forest (B) · K. Ammar MINES ParisTech,

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“…Multiplying the above expression with J and taking note of Eqs. (13) and (14) together with (4), the Clausius-Duhem inequality can equivalently be written as…”

Section: Constitutive and Evolution Equationsmentioning

confidence: 99%

“…Usual finite deformation phase-field theories mainly rely on a Lagrangian or Eulerian format for the phasefield gradient [13,14]. The framework proposed in this subsection is a new formulation of phase-field models coupled with plasticity compared to existing ones [9,18,62,63].…”

Section: Alternative Formulation Of Constitutive Equationsmentioning

confidence: 99%

A Cosserat–phase-field theory of crystal plasticity and grain boundary migration at finite deformation

Ask

Forest

Appolaire

et al. 2018

Continuum Mech. Thermodyn.

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“…Due to the large transformation Bain strains [ 34 ], the elastic large deformation approach developed by Borukhovich et al [ 8 , 9 ] is used for the mechanical solution. Additionally, austenite was simulated as a mechanical isotropic phase, and martensite was treated as an anisotropic tetragonal phase.…”

Section: Results: Martensite Microstructurementioning

confidence: 99%

“…An interested reader can find more deeper description of the used large deformations framework in [ 8 , 9 , 19 ], where aspects, such as homogenization of mechanical properties, objectivity and further implementation details are discussed, and result comparisons with Abaqus ([ 20 ]) are performed. The used iterative solution of Equation (30) is described in [ 7 ].…”

Section: Mechanicsmentioning

confidence: 99%

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Microstructure Design of Tempered Martensite by Atomistically Informed Full-Field Simulation: From Quenching to Fracture

Borukhovich

Stratmann

et al. 2016

Materials

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Martensitic steels form a material class with a versatile range of properties that can be selected by varying the processing chain. In order to study and design the desired processing with the minimal experimental effort, modeling tools are required. In this work, a full processing cycle from quenching over tempering to mechanical testing is simulated with a single modeling framework that combines the features of the phase-field method and a coupled chemo-mechanical approach. In order to perform the mechanical testing, the mechanical part is extended to the large deformations case and coupled to crystal plasticity and a linear damage model. The quenching process is governed by the austenite-martensite transformation. In the tempering step, carbon segregation to the grain boundaries and the resulting cementite formation occur. During mechanical testing, the obtained material sample undergoes a large deformation that leads to local failure. The initial formation of the damage zones is observed to happen next to the carbides, while the final damage morphology follows the martensite microstructure. This multi-scale approach can be applied to design optimal microstructures dependent on processing and materials composition.

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Phase Field

STEINBACH,

SHCHYGLO

2024

Digital Materials

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Large deformation framework for phase-field simulations at the mesoscale

Cited by 11 publications

References 15 publications

A Cosserat–phase-field theory of crystal plasticity and grain boundary migration at finite deformation

A Cosserat–phase-field theory of crystal plasticity and grain boundary migration at finite deformation

Microstructure Design of Tempered Martensite by Atomistically Informed Full-Field Simulation: From Quenching to Fracture

Phase Field

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