Three-dimensional multiscale modeling of dendritic spacing selection during Al-Si directional solidification

Tourret, Damien; Clarke, Amy J.; Imhoff, Seth D.; Gibbs, Paul J.; Gibbs, John W.; Karma, Alain

doi:10.1007/s11837-015-1444-2

Title: Three-dimensional multiscale modeling of dendritic spacing selection during Al-Si directional solidification

Abstract

We present a three-dimensional extension of the multiscale dendritic needle network (DNN) model. This approach enables quantitative simulations of the unsteady dynamics of complex hierarchical networks in spatially extended dendritic arrays. We apply the model to directional solidification of Al-9.8 wt.%Si alloy and directly compare the model predictions with measurements from experiments with in situ x-ray imaging. The focus is on the dynamical selection of primary spacings over a range of growth velocities, and the influence of sample geometry on the selection of spacings. Simulation results show good agreement with experiments. Here, the computationally efficient DNN model opens new avenues for investigating the dynamics of large dendritic arrays at scales relevant to solidification experiments and processes.

Authors:

^[1]; Clarke, Amy J. ^[1]; Imhoff, Seth D. ^[1]; Gibbs, Paul J. ^[1]; Gibbs, John W. ^[1]; Karma, Alain ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Northeastern Univ., Boston, MA (United States)

Publication Date:: Wed May 27 00:00:00 EDT 2015

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Northeastern Univ., Boston, MA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1221795

Alternate Identifier(s):: OSTI ID: 1906119

Report Number(s):: LA-UR-15-22352
Journal ID: ISSN 1047-4838; PII: 1444

Grant/Contract Number:: AC52-06NA25396; FG02-07ER46400

Resource Type:: Accepted Manuscript

Journal Name:: JOM. Journal of the Minerals, Metals & Materials Society

Additional Journal Information:: Journal Volume: 67; Journal Issue: 8; Journal ID: ISSN 1047-4838

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Growth Velocity; Directional Solidification; Primary Dendrite; Primary Spacing; Dendritic Spacing

Citation Formats


                    Tourret, Damien, Clarke, Amy J., Imhoff, Seth D., Gibbs, Paul J., Gibbs, John W., and Karma, Alain. Three-dimensional multiscale modeling of dendritic spacing selection during Al-Si directional solidification.  United States: N. p., 2015. 
Web.  doi:10.1007/s11837-015-1444-2.

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                    Tourret, Damien, Clarke, Amy J., Imhoff, Seth D., Gibbs, Paul J., Gibbs, John W., & Karma, Alain. Three-dimensional multiscale modeling of dendritic spacing selection during Al-Si directional solidification.  United States.  https://doi.org/10.1007/s11837-015-1444-2

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                    Tourret, Damien, Clarke, Amy J., Imhoff, Seth D., Gibbs, Paul J., Gibbs, John W., and Karma, Alain. Wed .  
"Three-dimensional multiscale modeling of dendritic spacing selection during Al-Si directional solidification".  United States.  https://doi.org/10.1007/s11837-015-1444-2.  https://www.osti.gov/servlets/purl/1221795.

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@article{osti_1221795,

  title        = {Three-dimensional multiscale modeling of dendritic spacing selection during Al-Si directional solidification},

  author       = {Tourret, Damien and Clarke, Amy J. and Imhoff, Seth D. and Gibbs, Paul J. and Gibbs, John W. and Karma, Alain},

  abstractNote = {We present a three-dimensional extension of the multiscale dendritic needle network (DNN) model. This approach enables quantitative simulations of the unsteady dynamics of complex hierarchical networks in spatially extended dendritic arrays. We apply the model to directional solidification of Al-9.8 wt.%Si alloy and directly compare the model predictions with measurements from experiments with in situ x-ray imaging. The focus is on the dynamical selection of primary spacings over a range of growth velocities, and the influence of sample geometry on the selection of spacings. Simulation results show good agreement with experiments. Here, the computationally efficient DNN model opens new avenues for investigating the dynamics of large dendritic arrays at scales relevant to solidification experiments and processes.},

  doi          = {10.1007/s11837-015-1444-2},

  journal      = {JOM. Journal of the Minerals, Metals & Materials Society},

  number       = 8,

  volume       = 67,

  place        = {United States},

  year         = {Wed May 27 00:00:00 EDT 2015},

  month        = {Wed May 27 00:00:00 EDT 2015}

}

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https://doi.org/10.1007/s11837-015-1444-2

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Cited by: 29 works

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Figures / Tables:

Figure 1: The Dendritic Needle Network model represents a dendritic grain, like the ammoniumbromide crystal from Ref. [35] in (a), as a hierarchical network of needle-like branches interacting through the long range diffusion field, as illustrated in (b). The instantaneous tip radius ρ(t) and velocity V (t) of each branchmore »

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Works referenced in this record:

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Similar Records

Title: Three-dimensional multiscale modeling of dendritic spacing selection during Al-Si directional solidification

Abstract

Citation Formats

Figures / Tables:

Cellular growth: The relation between growth velocity and cell size of some alloys of cadmium and zinc journal, November 1970

Dendrite growth at the limit of stability: tip radius and spacing journal, January 1981

Interdendritic Spacing: Part I. Experimental Studies journal, June 1984

Dynamical studies of dendritic growth journal, June 1985

Pattern formation during the directional solidification of binary systems journal, June 1985

InAsBi alloys grown by organometallic vapor phase epitaxy journal, November 1993

Primary spacing selection in directionally solidified alloys journal, January 1994

Testing shape selection in directional solidification journal, January 1987

Prediction of dendritic spacings in a directional-solidification experiment journal, April 1993

Response of primary dendrite spacing to varying temperature gradient during directional solidification journal, August 2004

Orientation dependence of primary dendrite spacing journal, September 1996

Onset of sidebranching in directional solidification journal, February 2010

Multiscale dendritic needle network model of alloy solidification journal, October 2013

Growth competition of columnar dendritic grains: A phase-field study journal, January 2015

A 3D Cellular Automaton algorithm for the prediction of dendritic grain growth journal, May 1997

A three-dimensional cellular automation-finite element model for the prediction of solidification grain structures journal, December 1999

Direct Modeling of Structures and Segregations Up to Industrial Casting Scales journal, August 2013

Phase-Field Simulation of Solidification journal, August 2002

Quantitative phase-field modeling of dendritic growth in two and three dimensions journal, April 1998

Phase-Field Formulation for Quantitative Modeling of Alloy Solidification journal, August 2001

Multiscale Modeling of Solidification: Phase-Field Methods to Adaptive mesh Refinement journal, December 2005

A Parallel 3D Dendritic Growth Simulator Using the Phase-Field Method journal, April 2002

Spatiotemporal Dynamics of Oscillatory Cellular Patterns in Three-Dimensional Directional Solidification journal, May 2013

Phase-field study of three-dimensional steady-state growth shapes in directional solidification journal, January 2010

Phase field modeling the selection mechanism of primary dendritic spacing in directional solidification journal, March 2012

Spacing characterization in Al–Cu alloys directionally solidified under transient growth conditions journal, October 2010

Phase-field study of spacing evolution during transient growth journal, November 2010

Phase-field study of competitive dendritic growth of converging grains during directional solidification journal, February 2012

Two-dimensional phase-field simulations of dendrite competitive growth during the directional solidification of a binary alloy bicrystal journal, December 2014

Side-branch growth in two-dimensional dendrites. I. Experiments journal, March 2005

Predictions of dendritic growth rates in the linearized solvability theory journal, May 1989

Theory of pattern selection in three-dimensional nonaxisymmetric dendritic growth journal, July 1993

Phase-field simulation of three-dimensional dendrites: is microscopic solvability theory correct? journal, April 1997

Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation journal, February 2000

From constrained to unconstrained growth during directional solidification journal, June 2000

Complete mapping of the anisotropic free energy of the crystal-melt interface in Al journal, October 2002

Analysis by synchrotron X-ray radiography of convection effects on the dynamic evolution of the solid–liquid interface and on solute distribution during the initial transient of solidification journal, June 2011

Initial dynamics of a solid–liquid interface within a thermal gradient journal, October 2014

Initial transient behavior in directional solidification of a bulk transparent model alloy in a cylinder journal, February 2015

Phase-field simulation of solidification morphology in laser powder deposition of Ti–Nb alloys journal, February 2012

Microstructure analysis of AZ31 magnesium alloy welds using phase-field models journal, September 2012

Pattern formation in constrained dendritic growth with solutal buoyancy journal, May 2009

Columnar-to-Equiaxed Transition in Solidification Processing of AlSi7 Alloys in Microgravity the CETSOL Project journal, May 2014

Cellular growth: The relation between growth velocity and cell size of some alloys of cadmium and zinc
journal, November 1970

Dendrite growth at the limit of stability: tip radius and spacing
journal, January 1981

Interdendritic Spacing: Part I. Experimental Studies
journal, June 1984

Dynamical studies of dendritic growth
journal, June 1985

Pattern formation during the directional solidification of binary systems
journal, June 1985

InAsBi alloys grown by organometallic vapor phase epitaxy
journal, November 1993

Primary spacing selection in directionally solidified alloys
journal, January 1994

Testing shape selection in directional solidification
journal, January 1987

Prediction of dendritic spacings in a directional-solidification experiment
journal, April 1993

Response of primary dendrite spacing to varying temperature gradient during directional solidification
journal, August 2004

Orientation dependence of primary dendrite spacing
journal, September 1996

Onset of sidebranching in directional solidification
journal, February 2010

Multiscale dendritic needle network model of alloy solidification
journal, October 2013

Growth competition of columnar dendritic grains: A phase-field study
journal, January 2015

A 3D Cellular Automaton algorithm for the prediction of dendritic grain growth
journal, May 1997

A three-dimensional cellular automation-finite element model for the prediction of solidification grain structures
journal, December 1999

Direct Modeling of Structures and Segregations Up to Industrial Casting Scales
journal, August 2013

Phase-Field Simulation of Solidification
journal, August 2002

Quantitative phase-field modeling of dendritic growth in two and three dimensions
journal, April 1998

Phase-Field Formulation for Quantitative Modeling of Alloy Solidification
journal, August 2001

Multiscale Modeling of Solidification: Phase-Field Methods to Adaptive mesh Refinement
journal, December 2005

A Parallel 3D Dendritic Growth Simulator Using the Phase-Field Method
journal, April 2002

Spatiotemporal Dynamics of Oscillatory Cellular Patterns in Three-Dimensional Directional Solidification
journal, May 2013

Phase-field study of three-dimensional steady-state growth shapes in directional solidification
journal, January 2010

Phase field modeling the selection mechanism of primary dendritic spacing in directional solidification
journal, March 2012

Spacing characterization in Al–Cu alloys directionally solidified under transient growth conditions
journal, October 2010

Phase-field study of spacing evolution during transient growth
journal, November 2010

Phase-field study of competitive dendritic growth of converging grains during directional solidification
journal, February 2012

Two-dimensional phase-field simulations of dendrite competitive growth during the directional solidification of a binary alloy bicrystal
journal, December 2014

Side-branch growth in two-dimensional dendrites. I. Experiments
journal, March 2005

Predictions of dendritic growth rates in the linearized solvability theory
journal, May 1989

Theory of pattern selection in three-dimensional nonaxisymmetric dendritic growth
journal, July 1993

Phase-field simulation of three-dimensional dendrites: is microscopic solvability theory correct?
journal, April 1997

Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation
journal, February 2000

From constrained to unconstrained growth during directional solidification
journal, June 2000

Complete mapping of the anisotropic free energy of the crystal-melt interface in Al
journal, October 2002

Analysis by synchrotron X-ray radiography of convection effects on the dynamic evolution of the solid–liquid interface and on solute distribution during the initial transient of solidification
journal, June 2011

Initial dynamics of a solid–liquid interface within a thermal gradient
journal, October 2014

Initial transient behavior in directional solidification of a bulk transparent model alloy in a cylinder
journal, February 2015

Phase-field simulation of solidification morphology in laser powder deposition of Ti–Nb alloys
journal, February 2012

Microstructure analysis of AZ31 magnesium alloy welds using phase-field models
journal, September 2012

Pattern formation in constrained dendritic growth with solutal buoyancy
journal, May 2009

Columnar-to-Equiaxed Transition in Solidification Processing of AlSi7 Alloys in Microgravity the CETSOL Project
journal, May 2014