Phase-Field Modeling of Morphological Change of Ferrite during Decomposition of Austenite in Fe-C Alloy

2007 ◽  
Vol 345-346 ◽  
pp. 935-938
Author(s):  
A. Yamanaka ◽  
Tomohiro Takaki ◽  
Yoshihiro Tomita
Keyword(s):  
Morphological Change ◽  
Phase Field ◽  
Numerical Approach ◽  
Field Method ◽  
Homogenization Method ◽  
Ferrite Phase ◽  
Phase Field Method ◽  
Element Analysis ◽  
Phase Field Simulation ◽  
Field Simulation

The integrated simulation model for microstructural design of Fe-C alloy using the phase-field method and the homogenization method is proposed. First, the phase-field simulation is performed to simulate the morphological change of the grain boundary ferrite to Widmanstätten ferrite. Then, in order to clarify the effects of the morphology of the ferrite phase on the micro- and macroscopic mechanical properties, the finite element analysis based on the homogenization method is conducted with the representative volume element obtained from the phase-field simulation. This numerical approach provides a powerful tool to investigate systematically the micro and macroscopic mechanical behavior with the morphological change of the ferrite phase in the Fe-C alloy.

Investigation of Spinodal Decomposition in Fe-Cr Alloys: CALPHAD Modeling and Phase Field Simulation

2011 ◽  
Vol 172-174 ◽  
pp. 1060-1065 ◽  
Author(s):  
Wei Xiong ◽  
Klara Asp Grönhagen ◽  
John Ågren ◽  
Malin Selleby ◽  
Joakim Odqvist ◽  
...  
Keyword(s):  
Spinodal Decomposition ◽  
Phase Field ◽  
Accurate Determination ◽  
Enthalpy Of Mixing ◽  
Field Method ◽  
Phase Field Method ◽  
Phase Field Simulation ◽  
Mobility Data ◽  
Field Simulation ◽  
Calphad Modeling

This work is dedicated to simulate the spinodal decomposition of Fe-Cr bcc (body centered cubic) alloys using the phase field method coupled with CALPHAD modeling. Thermodynamic descriptions have been revised after a comprehensive review of information on the Fe-Cr system. The present work demonstrates that it is impossible to reconcile the ab initio enthalpy of mixing at the ground state with the experimental one at 1529 K using the state-of-the-art CALPHAD models. While the phase field simulation results show typical microstructure of spinodal decomposition, large differences have been found on kinetics among experimental results and simulations using different thermodynamic inputs. It was found that magnetism plays a key role on the description of Gibbs energy and mobility which are the inputs to phase field simulation. This work calls for an accurate determination of the atomic mobility data at low temperatures.

Phase Field Simulation of Rafting Behavior of γ`Phase in Nickel Base Superalloy

2008 ◽  
Vol 33-37 ◽  
pp. 471-476 ◽  
Author(s):  
Akiyuki Takahashi ◽  
Yutaka Kobayashi ◽  
Masanori Kikuchi
Keyword(s):  
Network Model ◽  
Phase Field ◽  
Lattice Misfit ◽  
Field Method ◽  
Phase Field Method ◽  
Dislocation Network ◽  
Nickel Base Superalloy ◽  
Interfacial Dislocation ◽  
Phase Field Simulation ◽  
Field Simulation

This paper describes phase field simulations of the rafting behavior of γ’ phase with a simple interfacial dislocation network model. The interfacial dislocation network model accounts for the effect of the network on the lattice misfit between γ and γ’ phases and the subsequent rafting behavior. The model is implemented into the phase field simulation to see the dependence of the rafting behavior of γ’ phases on the interfacial dislocation network. Without the dislocation network model, the amount of the rafting was negligibly small. On the other hand, with the dislocation network model, the γ’ phases shows a large amount of rafting, which is in good agreement with the results of the experimental observations. Therefore, the combination of the phase field method and the simple interfacial dislocation network model developed in this work is appropriate for the simulation of the rafting of γ’ phases.

A Phase-Field Simulation of Nucleation from Subgrain and Grain Growth in Static Recrystallization

2008 ◽  
Vol 584-586 ◽  
pp. 1045-1050 ◽  
Author(s):  
Mayu Muramatsu ◽  
Yuichi Tadano ◽  
Kazuyuki Shizawa
Keyword(s):  
Phase Field ◽  
Reaction Diffusion ◽  
Computational Procedure ◽  
Field Method ◽  
Phase Field Method ◽  
Phase Field Simulation ◽  
Field Simulation ◽  
Nucleus Growth ◽  
Reaction Diffusion Model ◽  
Three Stages

A new recrystallization phase-field method is proposed, in which the three stages of recrystallization phenomena, i.e., recovery, nucleation and nucleus growth are sequentially taken into account in a computation. From the information of subgrain patterns and crystal orientations in a polycrystal that are obtained by a dislocation-crystal plasticity FE analysis based on a reaction-diffusion model, subgrain groups surrounded by high angle boundary are found out. Next, subgrains in the group are coalesced into a nucleus by rotation of crystal orientation and migration of subgrain boundaries through a phase-field simulation. Then a computation of nucleus growth is performed also using the phase-field method on account of an autonomic incubation period of nucleation, in which stored dislocation energy assumes a role of driving force. It is shown that the present method can numerically reproduce the three stages of recrystallization as a sequence of computational procedure.

scholarly journals Additive Manufacturing of Cementitious Materials by Selective Paste Intrusion: Numerical Modeling of the Flow Using a 2D Axisymmetric Phase Field Method

Materials ◽  
2020 ◽  
Vol 13 (21) ◽  
pp. 5024
Author(s):  
Alexandre Pierre ◽  
Daniel Weger ◽  
Arnaud Perrot ◽  
Dirk Lowke
Keyword(s):  
Numerical Modeling ◽  
3D Printing ◽  
Cement Paste ◽  
Phase Field ◽  
Numerical Approach ◽  
Cementitious Materials ◽  
Field Method ◽  
Phase Field Method ◽  
Shape Accuracy ◽  
Cement Pastes

The 3D printing of concrete has now entered a new era and a transformation of the construction sector is expected to reshape fabrication with concrete. This work focuses on the selective paste intrusion method, which consists of bonding dry particles of aggregate with a cement paste. This innovative technique could lead to the production of very precise component for specific applications. The main obstacle to tackle in order to reach a high shape accuracy of high mechanical performances of 3D printing elements by selectively activating the material is the control of the distribution of the cement paste through the particle bed. With the aim to better understand the path followed by the solution as it penetrates a cut-section of the granular packing, two-dimensional numerical modeling is carried out using Comsol software. A phase-field method combined with a continuous visco-plastic model has been used to study the influence of the average grain diameter, the contact angle, and the rheological properties of cement pastes on the penetration depth. We compare the numerical modeling results to existing experimental results from 3D experiments and a one-dimensional analytical model. We then highlight that the proposed numerical approach is reliable to predict the final penetration of the cement pastes.

Phase Field Simulation of the Pure Material Dendrite Growth in a Forced Flow

2012 ◽  
Vol 571 ◽  
pp. 3-7
Author(s):  
Jing Liu ◽  
Ying Shuo Wang
Keyword(s):  
Phase Field ◽  
Vertical Direction ◽  
Field Method ◽  
Dendritic Morphology ◽  
Forced Flow ◽  
Phase Field Method ◽  
Pure Material ◽  
Phase Field Models ◽  
Field Simulation ◽  
Control Equation

The phase field method is effective in simulating the formation of solidification microstructure. Based on the phase field models of coupling flow field and noise field proposed by Tong and Beckermann, using finite difference method to solve control equation, apartly simulating the dendritic morphology under the condition of convection or none convection, and drawing the following conclusions after comparing the results: in the side, the dendrite will no longer be symmetrical under the condition of countercurrent and downstream, the dendrite tip grows faster with countercurrent than that of the latter, while the dendrite grows almost naturally in the vertical direction of convection.

scholarly journals A mesoscale numerical approach to predict damage behavior in concrete basing on phase field method

2021 ◽  
Author(s):  
Nguyen Hoang Quan ◽  
Tran Bao Viet ◽  
Nguyen Thanh Tung
Keyword(s):  
Phase Field ◽  
Crack Nucleation ◽  
Crack Density ◽  
Numerical Procedure ◽  
Simulation Method ◽  
Numerical Approach ◽  
Field Method ◽  
Phase Field Method ◽  
Generation Process ◽  
Damage And Fracture

In this paper, we develop a numerical approach to simulate the 2D complex damage and fracture process of quasi-brittle concrete materials. Based on the phase field theory for the case of elastic isotropic multicomponent materials and the generation process based upon Monte Carlo’s simulation method, we construct a numerical  procedure to solve complex damage thermodynamic problems. The diffusive phase field variable obtained from this calculation can be used to represent the crack nucleation and propagation within 2D complex mesostructure. Some factors that affect the numerical result (type of crack density function and type of split decomposition of strain energy) are accounted to make the predictions more accurate for the case of concrete material. Some new numerical examples are provided to show the usefulness of the approach. 

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