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We begin with a short introduction of the phase-field model for brittle fractures based on the variational approach in Section 2. Subsequently, we present the numerical implementation of the phase-field model in COMSOL in Section 3. In Section 4, we examine some 2D and 3D numerical examples ...
Phase field modelhas been widely used to investigate the mechanism of austenite decomposition and formation in steels, and it has shown its great potential to simulate the microstructure evolution during the processing of commercial steels. However, there are still some unresolved issues in the field...
faces.Essentially all phase-,eld models of solidi,cation belong to this type.As a matter of fact, the term phase-,eld model was,rst introduced in modeling solid-i,cation of a pure melt (9–11).The thermodynamic and kinetic coef,cients in a phase-,eld model are then chosen to match ...
Phase-field methods in materials science and engineering (provatas:phase-field o-bk) || appendix a: thin interface limit of a binary alloy phase field model This chapter incorporates interfacial energy into the mean field free energy, resulting in a free energy functional-coined the Ginzburg-Landa...
We present a phase-field model (PFM) for solidification in binary alloys, which is found from the phase-field model for a pure material by direct comparison of the variables for a pure material solidification and alloy solidification. The model appears to be equivalent with the Wheeler-Boettinge...
Many functional and quantum materials derive their functionality from the responses of both their electronic and lattice subsystems to thermal, electric, and mechanical stimuli or light. Here we propose a dynamical phase-field model for predicting and mo
strain constitutive model. Because of this, PD is able to capture fracture as an emergent phenomena arising from the non-local equation of motion. This contrasts with classic fracture theory where, off the crack, the elastic interaction is modeled by the equation of elastodynamics and the ...
Appolaire B., Gautier E., " Modelling of phase transformations in titanium alloys with a phase field model", Lecture Notes in Computational Science & Engineering, vol. 32, p. 196-201, 2003.Modelling of phase transformations in titaniumalloys with a phase field model. Appolaire B,Gautier E....
Phase field model for microstructure evolution of subgrain in deformation alloy It is well know that static recrystallization (SRX), which occurs during post- deformation annealing, is greatly affected by the deformation formed during ... Y Gao,Z Luo,L Huang,... - 《Acta Metallurgica Sinica》...