Polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys

Michelic, Susanne Katharina; Thuswaldner, Jörg Μ.; Bernhard, Christian

doi:10.1016/j.actamat.2010.01.010

Cited by 41 publications

(38 citation statements)

References 43 publications

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“…The momentary local shape of the crystallization front is reproduced, and the evolution of the alloy structure is simulated with accuracy to the size of the automaton cell. The modelling is usually performed for the 2D regions [3][4][5][6][7][10][11][12][13][14][15], but the development of the 3D models can be seen during recent years [8,9].…”

Section: Introductionmentioning

confidence: 99%

“…Both the direction normal to the crystallization front and the curvature of the front should be known to solve the Equation (6). The first of these quantities was found by employing the method of a mass centre of a block of cells considered as the immediate neighbourhood.…”

Section: Construction Of the Cellular Automatonmentioning

confidence: 99%

“…The adopted explicit numerical scheme is characterised by the limited stability, which -for the case of cellular automata with lattice constant a of the order of 10 -6 mdemands for applying a small time step. The stability of the numerical method was determined from the condition [4,6]:…”

Section: Construction Of the Cellular Automatonmentioning

confidence: 99%

“…Cellular automata (CA) can be applied for modelling the structure within a whole casting [1,2] or within its part [3][4][5][6][7][8][9][10][11][12][13][14][15]. In the first case, the texture across the wall and changes in grain size are modelled, while in the second one -the morphology of individual crystals is predicted.…”

Section: Introductionmentioning

confidence: 99%

“…Calculations give the possibility to follow the sprouting and the evolution of dendrite arms of the first and the subsequent orders in dendrites or the close-coupled growth of phases during the eutectic crystallization, taking into account the interactions between the growing crystallites. It is possible to get information about the topology of the modelled structures and about the microsegregation of the alloying elements both in the liquid and in the solid phase [3][4][5][6][7][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Modelling of the Dendritic Crystallization by the Cellular Automaton Method

Zyska¹,

Konopka²,

Łągiewka³

et al. 2016

Archives of Foundry Engineering

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A numerical model of binary alloy crystallization, based on the cellular automaton technique, is presented. The model allows to follow the crystallization front movement and to generate the images of evolution of the dendritic structures during the solidification of a binary alloy. The mathematic description of the model takes into account the proceeding thermal, diffusive, and surface phenomena. There are presented the results of numerical simulations concerning the multi-dendritic growth of solid phase along with the accompanying changes in the alloying element concentration field during the solidification of Al + 5% wt. Mg alloy. The model structure of the solidified casting was achieved and compared with the actual structure of a die casting. The dendrite interaction was studied with respect to its influence on the generation and growth of the primary and secondary dendrite arms and on the evolution of solute segregation both in the liquid and in the solid state during the crystallization of the examined alloy. The morphology of a single, free-growing dendritic crystal was also modelled. The performed investigations and analyses allowed to state e.g. that the developed numerical model correctly describes the actual evolution of the dendritic structure under the non-equilibrium conditions and provides for obtaining the qualitatively correct results of simulation of the crystallization process.

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Section: Introductionmentioning

confidence: 99%

Section: Construction Of the Cellular Automatonmentioning

confidence: 99%

Section: Construction Of the Cellular Automatonmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modelling of the Dendritic Crystallization by the Cellular Automaton Method

Zyska¹,

Konopka²,

Łągiewka³

et al. 2016

Archives of Foundry Engineering

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Modeling of the Nonuniform Microstructure and Microsegregation Formation of the Shell in Round Billet Continuous Casting

Wei

Wang

Liu

et al. 2022

steel research int.

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To explore the influence of nonuniform heat transfer on the grain structure and microsegregation of carbon in shells inside the mold, a multiscale model considering heat conduction and dendritic growth is constructed for the round billet continuous casting. Adopting measured heat flux as the boundary conditions, heat conduction in the mold is solved by the finite difference scheme, and dendritic growth is modeled by the cellular automaton model. The temperature distribution of the round billet under measured heat flux is calculated, and the grain structure and the microsegregation of carbon in four selected regions are simulated. Herein, it is shown in the results that the different local heat fluxes lead to dissimilar variations in the surface temperature and grain structure of the shell. A close relationship exists between the carbon microsegregation and local heat flux; the carbon microsegregation decreases with heat flux. The high heat flux accelerates columnar dendritic growth and fines the columnar dendritic array so that the secondary arms are less developed and the microsegregation is improved.

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Multi-track, multi-layer dendrite growth and solid phase transformation analysis during additive manufacturing of H13 tool steel using a combined hybrid cellular automata/phase field, solid-state phase prediction models

Bailey

Shin

2022

Int J Adv Manuf Technol

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Using an efficient hybrid Cellular Automata/Phase Field (CA-PF) dendrite growth modeling in combination with a solid phase transformation model, microstructure evolution and solid-phase transformation were predicted during laser direct deposition (LDD) of H13 tool steel powder across multiple tracks and layers. Temperature and surface geometry data were provided by a comprehensive physics-based laser deposition model. The computational efficiency of the CA-PF model allows for simulating domains large enough to capture dendrite growth across an entire molten pool and into neighboring LDD tracks. The microstructure of the target track is strongly affected by heat from neighboring tracks including re-melting and re-solidification, and martensite tempering. Dendrite size and growth direction across the entire fusion zone, as well as predicted hardness values, are found to be in good agreement with experimental results.

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Polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys

Cited by 41 publications

References 43 publications

Modelling of the Dendritic Crystallization by the Cellular Automaton Method

Modelling of the Dendritic Crystallization by the Cellular Automaton Method

Modeling of the Nonuniform Microstructure and Microsegregation Formation of the Shell in Round Billet Continuous Casting

Multi-track, multi-layer dendrite growth and solid phase transformation analysis during additive manufacturing of H13 tool steel using a combined hybrid cellular automata/phase field, solid-state phase prediction models

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