Study of Peritectic Phase Transition in High-Mn Steel Using Phase-Field Method

AbstractThe promising phase-field method has been intensively studied for crack approximation in brittle materials. The realistic representation of material degradation at a fully evolved crack is still one of the main challenges. Several energy split formulations have been postulated to describe the crack evolution physically. A recent approach based on the concept of representative crack elements (RCE) in Storm et al. (The concept of representative crack elements (RCE) for phase-field fracture: anisotropic elasticity and thermo-elasticity. Int J Numer Methods Eng 121:779–805, 2020) introduces a variational framework to derive the kinematically consistent material degradation. The realistic material degradation is further tested using the self-consistency condition, which is particularly compared to a discrete crack model. This work extends the brittle RCE phase-field modeling towards rate-dependent fracture evolution in a viscoelastic continuum. The novelty of this paper is taking internal variables due to viscoelasticity into account to determine the crack deformation state. Meanwhile, a transient extension from Storm et al. (The concept of representative crack elements (RCE) for phase-field fracture: anisotropic elasticity and thermo-elasticity. Int J Numer Methods Eng 121:779–805, 2020) is also considered. The model is derived thermodynamic-consistently and implemented into the FE framework. Several representative numerical examples are investigated, and consequently, the according findings and potential perspectives are discussed to close this paper.

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A variational interface-preserving and conservative phase-field method for the surface tension effect in two-phase flows

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110166 ◽

2021 ◽

Vol 433 ◽

pp. 110166

Author(s):

Xiaoyu Mao ◽

Vaibhav Joshi ◽

Rajeev Jaiman

Keyword(s):

Surface Tension ◽

Phase Field ◽

Field Method ◽

Phase Field Method ◽

Surface Tension Effect ◽

Two Phase Flows ◽

Two Phase

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Phase Field Model for Influence of Edge Dislocation on Precipitation

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.415-417.1482 ◽

2011 ◽

Vol 415-417 ◽

pp. 1482-1485

Author(s):

Chuang Gao Huang ◽

Ying Jun Gao ◽

Li Lin Huang ◽

Jun Long Tian

Keyword(s):

Edge Dislocation ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Field Method ◽

Phase Field Method ◽

Second Phase ◽

Free Energy Function ◽

Phase Nucleation ◽

Good Agreement

The second phase nucleation and precipitation around the edge dislocation are studied using phase-field method. A new free energy function is established. The simulation results are in good agreement with that of theory of dislocation and theory of non-uniform nucleation.

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