[PDF] Top 20 Towards a 3-dimensional phase-field model of non-isothermal alloy solidification

... our phase-field models require very fine meshes around the solid-liquid interface in order to ensure that the interface is resolved with sufficient ... See full document

... and phase transition characteristics of low melting point alloy (LMPA) fillers by using non-equilibrium phase field method with the use of the Navier-Stokes ...step towards simulating ... See full document

... the conservation of energy. In moving from discrete particle sys- tems to a continuum, the Hamiltonian energy function, being a summation of contributions from each particle, is extended by spec- ifying a Hamiltonian ... See full document

... Several numerical methods have been proposed in the literature for discretizing Sivashinsky equation. A semi-implicit finite difference scheme and a linearized finite difference method for the Sivashinsky equation in ... See full document

... In phase-field modelling of alloy solidification, applying the varia- tional principle to the Gibbs free energy results in equations for phase, solute and temperature, which optimally minimise the ... See full document

... particular phase field model we employ is an extension of [2], and is based on the three dimensional thermal- phase field model of [3] and two dimensional ... See full document

... the model advocated by [14]. This model is n-phase independent and exhibits a model con- struction that incorporates double index quantities ...the model is that it does not construct a ... See full document

... quantitative phase-field modelling to simulate the growth of dendrites under coupled thermo-solutal control [33, 34], breaking the previous reliance on marginal stability models for estimating the tip ... See full document

... based, phase field formulation of alloy solidification, with the grand potential energy formulation (GPF) of [Plapp ...two phase approach of [Kim-Kim-Suzuki ...for ... See full document

... Al-rich phase should correspond to the (metastable) equilibrium concentration, and the ageing treatment at 370°C can only result in further precipitation if the metastable equilibrium concentration changes during ... See full document

... The Phase-Field model used here is a variation of the coupled thermal-solute model for the simulation of microstructure formation in dilute binary alloys, given in ...the isothermal ... See full document

... the model of Kasperovich et al ...eutectic solidification, albeit at a much refined length scale, which is to be expected given the much higher cooling rates experienced in the drop- tube relative to the ... See full document

... simulation, phase-field models are for micro-meso scale, and CA methods are for meso-macro ...The phase-field method can simulate the microstructure evolution regardless of the complexityof the interface ... See full document

... strongly non-local and non-isothermal thermodynamic models for multiphase, multicomponent solids, with conservative and non-conservative ...Particularly, phase transitions as well as ... See full document

... The type of the intermetallic phases present in the solidification microstructure and the temperatures at which they crystallize primarily depend on alloy composition. In the present study, effects of the content of ... See full document

... the isothermal solidification model for binary alloy developed by Warren and Boettinger 15–17) was ...binary alloy and be phase ... See full document

... The objective of this work is to apply phase-field modelling to moderately undercooled melts where the dendritic growth is under coupled thermo-solutal control. To date this has largely only been studied ... See full document

... the phase interface ...the phase variable, φ , changes + 1 (bulk solid) to − 1 (bulk melt) over a very small distance, similarly the solute concentration varies rapidly both at, and immediately ahead of, ... See full document

... our phase-field models require very fine meshes around the solid-liquid interface in order to ensure that the interface is resolved with sufficient ... See full document

... the phase field approach to model the microstructure formation during alloy solidification has been developed in [6] and results in a system of nonlinear parabolic partial differential ... See full document