Multiscale modeling of the influence of Fe content in a Al-Si-Cu alloy on the size distribution of intermetallic phases and micropores

A multiscale model was developed to simulate the formation of Fe-rich intermetallics and pores in quaternary Al–Si–Cu–Fe alloys. At the microscale, the multicomponent diffusion equations were solved for multiphase (liquid-solid-gas) materials via a finite difference framework to predict microstructure formation. A fast and robust decentered plate algorithm was developed to simulate the strong anisotropy of the solid/liquid interfacial energy for the Fe-rich intermetallic phase. The growth of porosity was controlled by local pressure drop due to solidification and interactions with surrounding solid phases, in addition to hydrogen diffusion. The microscale model was implemented as a subroutine in a commercial finite element package, producing a coupled multiscale model. This allows the influence of varying casting conditions on the Fe-rich intermetallics, the pores, and their interactions to be predicted. Synchrotron x-ray tomography experiments were performed to validate the model by comparing the three-d...

[1]  K. Easterling,et al.  Phase Transformations in Metals and Alloys , 2021 .

[2]  J. Allison,et al.  The kinetics of Fe-rich intermetallic formation in aluminium alloys : In situ observation , 2009 .

[3]  J. Hoyt,et al.  Atomistic simulation study of the structure and dynamics of a faceted crystal-melt interface. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Fujio Izumi,et al.  VESTA: a three-dimensional visualization system for electronic and structural analysis , 2008 .

[5]  Zi-kui Liu,et al.  A thermodynamic description of the Al–Fe–Si system over the whole composition and temperature ranges via a hybrid approach of CALPHAD and key experiments , 2008 .

[6]  Peter D. Lee,et al.  Simulating tortuous 3D morphology of microporosity formed during solidification of Al–Si–Cu alloys , 2007 .

[7]  Mei Li,et al.  Virtual aluminum castings: An industrial application of ICME , 2006 .

[8]  Guido Gerig,et al.  User-guided 3D active contour segmentation of anatomical structures: Significantly improved efficiency and reliability , 2006, NeuroImage.

[9]  C. Dinnis,et al.  Iron-related porosity in Al–Si–(Cu) foundry alloys , 2006 .

[10]  A. K. Dahle,et al.  As-cast morphology of iron-intermetallics in Al–Si foundry alloys , 2005 .

[11]  A. L. Greer,et al.  Athermal heterogeneous nucleation of solidification , 2005 .

[12]  C. M. Elliott,et al.  Computation of geometric partial differential equations and mean curvature flow , 2005, Acta Numerica.

[13]  Peter D. Lee,et al.  Multiscale modelling of solidification microstructures, including microsegregation and microporosity, in an Al–Si–Cu alloy , 2004 .

[14]  Peter D. Lee,et al.  Simulation of the three-dimensional morphology of solidification porosity in an aluminium–silicon alloy , 2003 .

[15]  Peter D. Lee,et al.  A model of solidification microstructures in nickel-based superalloys: predicting primary dendrite spacing selection , 2003 .

[16]  A. Karma,et al.  Phase-Field Simulation of Solidification , 2002 .

[17]  K. A. Jackson.  The Interface Kinetics of Crystal Growth Processes , 2002 .

[18]  N. Kuijpers,et al.  Quantification of the evolution of the 3D intermetallic structure in a 6005A aluminium alloy during a homogenisation treatment , 2002 .

[19]  M. Rappaz,et al.  A Pseudo-Front Tracking Technique for the Modelling of Solidification Microstructures in Multi-Component Alloys , 2002 .

[20]  S. Osher,et al.  Level set methods: an overview and some recent results , 2001 .

[21]  J. Hunt,et al.  Hydrogen porosity in directionally solidified aluminium–copper alloys: a mathematical model , 2001 .

[22]  L. Nastac.  Numerical modeling of solidification morphologies and segregation patterns in cast dendritic alloys , 1999 .

[23]  G. B. Schaffer,et al.  The role of iron in the formation of porosity in Al-Si-Cu-based casting alloys: Part I. Initial experimental observations , 1999 .

[24]  C. Romming,et al.  β-Al4.5FeSi : A combined synchrotron powder diffraction, electron diffraction, high-resolution electron microscopy and single-crystal X-ray diffraction study of a faulted structure , 1998 .

[25]  B. Cantor,et al.  Intermetallic phase selection in 1XXX Al alloys , 1998 .

[26]  J. Hunt,et al.  Hydrogen porosity in directional solidified aluminium-copper alloys:in situ observation , 1997 .

[27]  C. Gandin,et al.  A 3D Cellular Automaton algorithm for the prediction of dendritic grain growth , 1997 .

[28]  A. L. Greer,et al.  Site-ordering effects on element partitioning during rapid solidification of alloys , 1996, Nature.

[29]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[30]  D. G. McCartney,et al.  A Numerical Finite Difference Model of Steady State Cellular and Dendritic Growth , 1984 .

[31]  H. Aaronson,et al.  The growth of γ plates in an Al-15% Ag alloy , 1969 .

[32]  W. Rosenhain,et al.  Eleventh report to the Alloys Research Committee : on some alloys of aluminium (light alloys) , 1921 .

[33]  R. Trivedi,et al.  Solidification microstructures: recent developments, future directions , 2000 .

[34]  D. Uhlmann,et al.  On the nature of crystal growth from the melt , 1967 .