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Thermo-Calc Software
Anwendertreffen, Aachen, 6.-7. September 2012
Henrik Larsson
Thermo-Calc Software AB
Thermo-Calc SoftwareThermo-Calc
A brief history:
1973 First CALPHAD meeting
1977 Development of Thermo-Calc starts
1981 First version of Thermo-Calc
1984 First sale of Thermo-Calc
1994 First sale of Dictra
Citations per Year
Calphad
Thermo-Calc1994 First sale of Dictra
1997 The company, Thermo-Calc Software AB,
is formed
2011 First sale of TC-Prisma
DICTRA
Thermo-Calc
Thermo-Calc Software
Thermo-Calc Software
•About 25 employees (majority have PhD) in Stockholm and Pittsburgh
•Agents in Germany, Brazil, India, China, South Korea, Japan and Australia
•Users in more than 70 countries •Users in more than 70 countries
Thermo-Calc Software
Industry� Several projects with industry support, e.g. development of thermodynamic and kinetic
databases for Ni-alloys.� Cooperation Agreement with QuesTeK Innovations LLC on development of software for
precipitation modeling.� Several Sub-license Agreements in place, e.g. with ACCESS e.V. for MICRESS®.
UniversitiesConsultancy Agreement with KTH, Sweden
Several established collaborations:
Thermo-Calc Software
� Consultancy Agreement with KTH, Sweden� Project Agreements with Several Chinese universities, e.g. Central South Univ. Changsha
“Industry/University Collaborative Research Centers”� HERO-M, Hierarchic Engineering of Industrial Materials (KTH, Sweden)� CCMD, Center for Computational Materials Design (Penn State and Georgia Tech, USA)� CIMJSEA, Center for Integrative Materials Joining Science for Energy Applications (OSU in
collaborations, USA)
Other collaborations� SGTE (Scientific Group Thermodata Europe)� VDEh-BFI-working group on "Thermodynamic modelling in metallurgy"
Thermo-Calc Software
� ROI of $3-$9 for every $1 invested (source IDC White paper on Modeling and Simulation: The Return on Investment in Materials Science, July 2004; sponsored by Accelrys Inc.)
� Accelerated development and implementation of new materials into plant and products.
� Better understanding of the material (stronger patents, understanding tail effects of
Benefits of modeling and simulation
compositional variation that can be difficult to determine experimentally).
� Innovative – can make calculations for a wider range of composition space than you would normally based on incremental development methods => lead to breakthrough ideas.
� Relevant experiments not always possible (e.g. canister material for nuclear waste storage).
� Does not replace the need for experiment and testing, but compliments it by better targeting of experiments.
Thermo-Calc Software
Thermo-Calc Software
Company Update
Since the meeting in Aachen last year:
•Two more PhD:s employed (In Stockholm and Pittsburgh)
•Major software release, TC-Prisma
•Several new/updated databases: •Several new/updated databases: TCFE7, TCMG1, MOBFE2, TTAL8, TTMG5, TCAL2
Upcoming:•Major software release, TC 3.0, at the end of the year•Dictra 27, 1st quarter 2012•TQ8, 1st quarter 2012
Thermo-Calc SoftwareProducts
• Thermo-CalcClassic console version and GUI version
• DictraDiffusion problem modelling
• TC-PrismaModelling of precipitation phenomena
• API:sTo access Thermo-Calc in your own code (Fortran, C, Matlab, tentatively: Python)
• DatabasesThermodynamic and kinetic
• Training
• Consultancy
Thermo-Calc SoftwareOutline
• TC-Prisma presentation and demo
• TC 3.0 demo
• TQ8
• Dictra 27: intro and results from a tentative case study
• New/updated databases
Thermo-Calc Software
TC-Prisma
Thermo-Calc SoftwareIntroduction – TC-PRISMA
TC-PRISMA A general computational tool for simulating kinetics ofdiffusion controlled multi-particle precipitation process in multi-component and multi-phase alloy systems. TC-PRISMA is based onLanger-Schwartz theory [1], and it adopts the Kampmann-Wagnernumerical (KWN) method [2] to compute the concurrent nucleation,growth, and coarsening of dispersed phase(s).
[1] Langer J, Schwartz A. Phys. Rev. A 1980;21:948-958.[2] Wagner R, Kampmann R. Homogeneous Second Phase Precipitation. In: HaasenP, editor. Materials Science and Technology: A Comprehensive Treatment. Weinheim: Wiley-VCH, 1991. p. 213.
Thermo-Calc SoftwareIntroduction – TC-PRISMA
Features:
• Powered by Thermo-Calc and DICTRA calculation engine• Linked to Thermo-Calc and DICTRA databases
• Concurrent nucleation, growth, and coarsening • Multicomponent nucleation and growth models• Multicomponent nucleation and growth models• Account for different type of nucleation sites• Treat cross diffusion and high supersaturation
• Highly intuitive Graphic User Interface (GUI)• Run macros or scripts
Thermo-Calc SoftwareIntroduction – PRISMA vs DICTRA
TC-PRISMA vs DICTRA
DICTRA is for simulation of Diffusional Controlled TRAnsformationin multicomponent system
– Single-phase problems: homogenization, carburization
– Moving boundary problems: solidification, dissolution, growth, and coarsening
– No nucleation, and no unified treatment to growth and coarsening
– For precipitation, good for detailed multicomponent analysis of composition profile evolution in diffusion zone
TC-PRISMA is for precipitation simulation with multi-particle
interaction in multicomponent systems– Unified treatment of nucleation, growth, dissolution, and coarsening of
dispersed particles
– Not suitable for formation of non-dispersed high volume new phases
Thermo-Calc SoftwareIntroduction – TC-PRISMA
Output
• Particle Size Distribution
• Number Density
• Average Particle Radius
• Volume Fraction
Input
• Thermodynamic data
• Kinetic data
• Alloy composition
• Temperature - Time • Volume Fraction
• Matrix composition
• Precipitate composition
• Nucleation rate
• Critical radius
• TTP
• Temperature - Time
• Simulation time
• Property data (Interfacial energy, volume, etc.)
• Nucleation sites and related microstructure information
TC-PRISMA
Thermo-Calc Software
Simulation – Setup
Calphad Database Calculation
TC-PRISMA Software Basics
Calculation Settings� Numerical parameters� Grid Distribution
System� Databases
Matrix/Precipitate phases
Conditions� Multi particle or TTT � Composition
Additional Data� Interfacial Energies� Phase Boundary Mobility
� Grid Distribution� Growth Rate Model
� Matrix/Precipitate phases � Composition� Temperature� Simulation time� Nucleation Properties
� Phase Energy Additions� Mobility Enhancement� Phase Volumes
Thermo-Calc SoftwareIntroduction – TC-PRISMA
Al-Sc Al-Sc Ni-base
Ni-base Steel Steel
Thermo-Calc SoftwareModels and Model Parameters
Liq
αααα
LS (Langer-Schwartz) and KWN (Kampmann and Wagner Numerical) Approach
( ) [ ],( ) ( , ) ( , )
f r tr f r t j r tυ
∂ ∂=− +
Continuity equation
T
XB BA
αααα
ββββ
[ ]( ) ( , ) ( , )r f r t j r tt r
υ=− +∂ ∂
( ) ( ) 30 0
4,
3C C C C f r t r drα α β α π∞
= + − ∫
Mass balance
Thermo-Calc SoftwareGrowth rate models
( ) ( ) rMccc iiiiiii ξµµυ βααβαβααβ ///// −=−r
Vmii
βαββα σµµ 2// +=
Advanced – Analytical Flux-balance Approximation
Simplified – Pseudo-steady state Approximation
[Q. Chen, J. Jeppsson, J. Ågren, Acta Mater. 56(2008)1890-1896]
2 mm
VKG
r r
συ = ∆ −
Pseudo-binary dilute solution Approximation
r
D
XX
XXβαβ
βαα
υ /
/
−−=
/ 1 2exp( )e m
e e
X VX
X X X RTr
α βα β
α β ασ−=
−
( )12/ /
/
( ) ( )
( )i i i
i i i
X r X rK
X r M
β α α β
α β
ξ−
− =
∑
Thermo-Calc SoftwareMain Assumptions and Limitations
• Mean field
• 3D Spherical particle
• Stoichiometric precipitate or no diffusion in solution precipitate
• No hard impingement or splitting of particles or particles developed into dendritic or other non-equiaxed morphology
• Not suitable for spinodal decomposition• Not suitable for spinodal decomposition
• Not suitable for displacive transformation
Thermo-Calc Software
TQ8
Thermo-Calc SoftwareTQ-api
C Interface
Application
Thermo-Calc kernel
Fortran Interface
C Interface
Thermo-Calc Software
TQ8 (planned release 1st quarter 2013)
•A corresponding C interface has been implemented. Essentially a C layer on top of the Fortran routines
•Utility to set ”ideal” composition of a composition set; to make sure that, for example, FCC#2 corresponds to to make sure that, for example, FCC#2 corresponds to M(C,N)
•A general, dynamic interpolation scheme has been implemented. Linear expansion in T-P-composition space. Used internally in Dictra27.
Thermo-Calc Software
TQ8 – cont.
• Intel Fortran compiler support on Linux
• Some changes in default compiler switches on Windows
• Minor change in argument list; ”iwse” is now an argument to all routines
Thermo-Calc SoftwareInterpolation scheme
Dynamic interpolation scheme
Possibility at a slight cost of accuracy to rapidly obtain equilibrium values for state variables and functions for many different values of a predefined set of conditionsmany different values of a predefined set of conditions
Multiple sets of conditions and requested variable values can be defined in order to obtain different values for different situations
Accuracy of the scheme can be adjusted by setting the number of steps in the composition / temperature / pressure space where the interpolation is performed
Thermo-Calc SoftwareAdaptive interpolation scheme
com
posi
tion/
Tem
pera
ture
Interpolation space composition/Temperature
Inte
rpol
atio
n sp
ace
com
posi
tion/
Tem
pera
ture
24
Thermo-Calc SoftwareInterpolation scheme
For a given set of conditions
The scheme builds up an interpolation matrix within the bounds of the conditions that have been previously defined
Provided that the subsequent condition values are kept within these limits the returned values are calculated from the interpolation matrix, if the condition values are outside these limits the scheme automatically extends the interpolation matrix.
The scheme extends the interpolation matrix so that it can return values The scheme extends the interpolation matrix so that it can return values from a growing range of conditions in composition, temperature and pressure.
In the case that the memory requirements for extending the interpolation exceeds the available memory, the nodes in matrix that have less frequently used will be removed, thereby freeing memory.
25
Thermo-Calc SoftwarePerformance
26
Thermo-Calc SoftwarePerformance
27
Thermo-Calc Software
Interpolationscheme testusing Dictra27
Fe-Cr-NiDiffusion couple
Using interpolation schemeCPU-time 11 s
Without interpolation schemeCPU-time 180 s
Thermo-Calc Software
Dictra 27 (planned release 1st quarter 2013)
A new, additional, moving phase boundary model has been implemented based on [Larsson, Reed, Acta Mat 56(2008)3754]
•Higher degree of robustness, longer simulation times•Higher degree of robustness, longer simulation times
•New model allow multiple phases on either side of an interface
•Automatic switching between the classic and the new moving phase boundary model
Thermo-Calc SoftwareDictra 27 – moving phase boundary models
Classic
• Local equilibrium assumption
• Sharp interface
• Solve flux balance equations at interface
• Allows diffusion problem to be solved
α γz
ck
( ) nkJJccv kkkk ,,1/K=−=− γαγαγα
separately in each phase
New
• Local equilibrium assumption
• Finite interfacial width
• Explicit expression for interface velocity
( )
( )∑
∑
−∂∂
−∂∂
=γα
α
γαα
γα
kkk
kkk
ccN
f
JJN
f
v
int
int/
Thermo-Calc SoftwareDictra 27
Multiple phases allowed on either side of an interface
For example:
Interphase precipitation:α+M(C,N) γ
Reaction product inside spinodal:
Be aware of the (potential) loss of degrees of freedom!
αγ1+γ2
Thermo-Calc Software
Tentative simulation of diffusion during
welding of AISI 2304 duplex stainless steel
www.thermocalc.com
welding of AISI 2304 duplex stainless steel
using DICTRA 27 (release 2013)
Henrik Larsson, Paul Mason
CIMJSEA meeting, Lehigh University, July 2012
Acknowledgement: Staffan Hertzman, Outokumpu Stainless Research Foundation
Thermo-Calc SoftwareThe DICTRA Software
A 1D finite difference code for simulation of DIffusion Controlled TRAnsformations in multi component alloys.
The result of more than 20 years and 60 man-years R&D at:
Emphasis has been placed on
� Royal Institute of Technology (KTH) in Stockholm, Sweden� Max-Planck Institute für Eisenforschung in Düsseldorf, Germany
Emphasis has been placed on linking fundamental models to critically assessed thermodynamic and kinetic data, allowing simulations to be performed with realistic conditions on alloys of practical importance.
Helander et al., ISIJ Int. 37(1997), pp. 1139-45
Example: Interdiffusion in compound
Thermo-Calc SoftwareDICTRA – Already applied to numerous problems
Carburizing and decarburization
Microsegregation during solidification
Precipitate growth and dissolution
Precipitate coarsening
Interdiffusion in coating/substrate systems
TLP bonding of alloys and much more…
Ball screw for the AirbusA380 aircraft: a martensitic as carburized stainless steelExample: Simulation of carbon evolution in
high alloyed steels by Aubert & Duval,
2.60 m
0,0
0,4
0,8
1,2
1,6
2,0
2,4
2,8
3,2
3,6
4,0
4,4
4,8
0 100 200 300 400 500 600 700 800 900µm
%C
profil carbone calculé en fin d'enrichissement
profil carbone calculé après 3h de diffusion
Fe-12Cr-2Ni-2Mo-0.12C at 955°C::
Calculated carbon profile at the end of the enrichment step
Calculated carbon profile after 3h of diffusion
high alloyed steels by Aubert & Duval, France.
Turpin et al., Met. Trans. A 36(2005), pp. 2751-60
Distance from surface (µm)
Car
bo
n c
on
ten
t (%
)
Thermo-Calc SoftwareKinetic and Thermodynamic input
All simulations depend on assessed kinetic and thermodynamic data that is supplied in databases.
Diffusivities ∑
∂∂−
∂∂−=
i n
i
j
iikkik
nkj xx
MxxDµµδ )(
A numerical finite difference scheme is used for solving a system of coupled parabolic partial differential equations.
DATABASESKinetic Thermodynamic
Mobilities Gibbs Energy
2
2
x
G
∂∂
Thermo-Calc SoftwareKinetic Databases (in a CALPHAD spirit)
Diffusion without a chemical gradient:
- Tracer diffusion coefficientsE
xper
imen
tsT
heor
yDiffusion under a chemical gradient:
- Chemical interdiffusion coefficients
- Intrinsic diffusion coefficients- Ab-initio
-Correlation
Models
( ) ),,(ln PTxfRTMB =α
Correlation
Parameter Optimization
Database
Kinetic properties
Thermo-Calc Software
Dictra 27 (to be released 2013)
•New, complementary, moving phase boundary model-Finite interfacial width-Local equilibrium assumed at interface (as in classic model)-More robust, but also computationally more demanding-Allows multiple phases on either side of an interface-Allows multiple phases on either side of an interface
•Automatic switching between the new robust model and the classic computationally less demanding model
Thermo-Calc Software
weld
1D simulation of this section
Approximations:•1D
Simulation of welding - general
•1D•Same filler as base material (or assume no mix between filler and base)
•Ad hoc time-temperature function•Local equilibrium at solid-liquid interface•Local ferrite/austenite proportions in solid equilibrated at all times •Only consider 4 components, Fe-Cr-Ni-N
Thermo-Calc Software
Simulation domain
1500 µm
t=0 s
T=1300 K T=1300 K
SolidLiquid nucleates here
Heating finished after 1 s
α+γ
Simulation of welding - setup
t=1 s
T=1300 K T=2000 K
Solid
t=15 s
T=1300 K T=1300 K
Solid
Liquid Heating finished after 1 s
Cooling finished after 15 s
α+γ
α+γ
Thermo-Calc Software
Tem
pera
ture
[K]
Heating, 1 s
t=1 s
Simulation of welding – time/temp/dist function
Distance [m]Base material Weld
Tem
pera
ture
[K]
Cooling, 14 s
t=0, 15 s
Thermo-Calc Software
Time for nucleation/growth/dissolution offerrite/austenite in the solid region is ignored
ChemicallyHomogeneous 2304
Temperature [K]
Fe 23 Cr 4 Ni 0.12 N
Tsol=1720 KTliq=1760 K
Schematically:
For
Simulation of welding
Distance
Distance
Temperature [K]
Fraction ferrite
0.5
1.0
1300
1580If
Then
Thermo-Calc Software
Distance
Temperature
Typical rolled duplex microstructure
Simulation of welding
αα+γ
Solid Liquid
α−L local equilibrium
microstructure
HTHAZ microstructure
Micrographs from E Westin, Thesis, KTH, 2010
Thermo-Calc Software
Spatially non-isothermal simulations
z
T
T
QcM
zcMJ k
kkk
kkk ∂∂−
∂∂−=
∗µFlux of component k:
Driving forces:
Simulation of welding
Chemical potential gradient Temperature gradient(Ludwig-Soret effect)
Driving forces:
∗kQ Heat of transport
Problem: Data is scarce
In multiphase regions, [M kck] and Qk
* are ”averages” over phases present locally
Thermo-Calc Software
Simulation results without heat of transport
Fra
ctio
n fe
rrite
t=15 s
Simulation of welding
Fra
ctio
n fe
rrite
Welding of AISI 2304 using ISO 23 7 NL fillerFrom: E Westin, Thesis, KTH, 2010
Thermo-Calc Software
Simulation results without heat of transport
Simulation of welding
Fra
ctio
n fe
rrite
Thermo-Calc Software
Heat of transport data
44
100
−=
−=
∗
∗
C
C
Q
Q
γ
αIn ferrite:
In austenite:
Shewmon, Acta Met 8(1960)605
Höglund, Ågren, J Phase Equil Diff 31(2010)212Okafor et al, Met Trans A 13A(1982)1713
Simulation of welding
0
0
44
,, =
=
=
=
−=
∗
∗
∗∗
∗∗
NiFeCr
LN
CN
CN
C
Q
Q
Q
γγ
αα
In austenite:
Assume:
Okafor et al, Met Trans A 13A(1982)1713
0<∗kQ
Diffusion towardshot end
Thermo-Calc SoftwareSimulation of welding
Simulation results with heat of transport data for Nitrogen
Fra
ctio
n fe
rrite
Thermo-Calc Software
Comparison – effect of heat of transport
Fra
ctio
n fe
rrite
Fra
ctio
n fe
rrite
With Without
Simulation of welding
Thermo-Calc SoftwareSummary
• Dictra 27 to be released 2013• A more general, more robust moving phase boundary model, but
computationally more demanding
• Tentative simulation of diffusion during welding• Qualitative agreement with experiment
• Impact of various simulation parameters need to be investigated:• Impact of various simulation parameters need to be investigated:- Time-temperature function
- Heat of transport
- Filler material
- ...
Thermo-Calc Software
Database update
• TCFE7
• MOBFE2• MOBFE2
• TCMG1.1
• TCAL1.2
Thermo-Calc SoftwareSteels - TCFE7 and MOBFE2
Improvements from version 6 includes:
� The elements Ta and Zr and relevant phases associated with these elements
have been added.
� Extended description of solid oxides incorporated from TCOX4.� Al-Ca-Cr-Fe-Mg-Mn-Ni-Si-O
TCFE7 and MOBFE2 were released in March 2012.
� Improving the present descriptions for liquid, sigma- and mu-phase.
� Improving the present description with respect to boron.
� Improvements to some specific systems, such as e.g. Fe-Nb, Fe-Nb-C,
and Fe-Mn-N.
� Incorporating a description for G-phase.
� Improvements of the miscibility gaps in carbide systems.
� Updating the molar volume data.
� MOBFE2 has been updated to include mobility data for Ta and Zr for compatibility
Thermo-Calc SoftwareTCFE7
Extended description of solid oxides
Acknowledgement: Malin Selleby, KTH
Thermo-Calc SoftwareTCFE7
Validation of composition of various carbides
Thermo-Calc SoftwareTCFE7
Liquidus temperature Density
Thermo-Calc Software
Cemented Carbides
In the long term the best solution would be a Co-base databaseOur recommendation at present: Use TCFE7
CCC1: C,Co,Nb,Ta,Ti,WTCFE7: C,Co,Cr,Fe,Mo,N,Nb,Ni,Ta,Ti,V,W,Zr
Thermo-Calc SoftwareMagnesium alloys - TCMG
� 23 elements
� 149 binary systems
Mg Al Ca Ce Gd Mn Nd Sn Sr Y Zn Zr
Ag Cu Fe K La Li Na Ni Pr Si Th
TCMG1 TCMG2(2012.12)(2012.02)
More ternary systems
Multicomponent systems
Refinements
TCMG1.1(2012.08)
� 149 binary systems� 59 ternary systems� 396 phases
� Major updates from V1.0 to V1.1:o Reassessment of Gd-Mg-Zno Added: Ca-Nd, Ca-Mn, Ce-Gd and Nd-Sro Added: Ca-Mg-Zr, Gd-Mg-Zr, Ce-Gd-Mg and Gd-Mg-Sr
Thermo-Calc SoftwareTCMG
Assessed binaries and ternaries
Thermo-Calc SoftwareMg-Gd-Zn
� Solubility of Zn in GdMg 3 (D03, cF448, F-43m)
� Mg-rich phase equilibria
� M. Yamasaki, et al. Acta Mater. 55 (2007) 6798.� Y. Wu, et al., J. Mater. Sci. 44 (2009) 1607.� H.Y. Qi, et. al., J. Mater. Sci. 47 (2012) 1319.� Y. Liu, et al. Mater. Trans. 49 (2008) 941.� S. Zhang, et al. Magnesium Technology 2011.
Calculated Mg-rich corner of the Gd-Mg-Zn phase equilibria at 473 K
� H.L. Chen, unpublished work, in this project.
Thermo-Calc SoftwareMg-Gd-Zn
� H.L. Chen, unpublished work, in this project.Alloys, at. % As-cast
microstructure
Solidification
calculation
References
Mg-1.33Zn-1Gd (Mg)+I (Mg)+I [2007Liu]Mg-2Zn-8Gd (Mg)+w (Mg)+w [2008Liu1]Mg-2Zn-4Gd (Mg)+w (Mg)+w [2008Liu1]Mg-2Zn-2Gd (Mg)+w (Mg)+w [2008Liu1]Mg-5Zn-3.33Gd (Mg)+w+I (Mg)+w+I [2008Liu1]Mg-5Zn-2.50Gd (Mg)+I+w (Mg)+I+w [2008Liu1]Mg-5Zn-1.67Gd (Mg)+I+w (Mg)+I+w [2008Liu1]Mg-5Zn-0.83Gd (Mg)+w+I (Mg)+I [2008Liu1]Mg-5Zn-0.50Gd (Mg)+I (Mg)+I [2008Liu1]Mg-5Zn-0.28Gd (Mg)+I (Mg)+I+Mg51Zn20 [2008Liu1]Mg-5Zn-0.20Gd (Mg)+I (Mg)+I+Mg51Zn20 [2008Liu1]Mg-5Zn-0.13Gd (Mg)+I (Mg)+I+Mg51Zn20 [2008Liu1]Mg-0.6Gd-3.5Zn (Mg)+I+MgZn (Mg)+I [2007Liu]
Calculated liquidus projection of Gd-Mg-Zn
Mg-0.6Gd-3.5Zn (Mg)+I+MgZn2 (Mg)+I [2007Liu]Mg-2Gd-1Zn (Mg)+w (Mg)+w [2007Yam]Mg-2Gd-1Zn-0.18Zr (Mg)+w+14H (Mg)+w [2009Wu1]Mg-1.0Zn-1.0Gd (Mg)+w+14H (Mg)+w [2011Zha]Mg-1.5Zn-1.5Gd (Mg)+w+14H (Mg)+w [2011Zha]Mg-2.0Zn-2.0Gd (Mg)+w+14H (Mg)+w [2011Zha]Mg-2.5Zn-2.5Gd (Mg)+w+14H (Mg)+w [2011Zha]Mg-1.0Zn-0.8Gd (Mg)+w (Mg)+I+w [2011Zha]Mg-1.2Zn-1.0Gd (Mg)+w (Mg)+w+I [2011Zha]Mg-2.0Zn-1.5Gd (Mg)+w (Mg)+w+I [2011Zha]Mg-2.5Zn-2.0Gd (Mg)+w (Mg)+w [2011Zha]Mg-1.5Zn-1.0Gd (Mg)+I+w (Mg)+I+w [2011Zha]Mg-2.5Zn-1.5Gd (Mg)+I+w (Mg)+I+w [2011Zha]Mg-3.0Zn-2.0Gd (Mg)+w+I (Mg)+w+I [2011Zha]
� Y. Liu, et. al., Mater. Trans. 49 (2008) 941.� S. Zhang, et al., Magnesium Technology 2011.
Thermo-Calc Software
The 14H phase in Mg-Zn-Gd, Long Period Stacking Ordered, ”LPSO”, structure
Kawamura, Yamasaki, Mater Trans 48(2007)2986
Thermo-Calc SoftwareAluminium alloys - TCAL
� 26 elements
� 147 binary, 58 ternary, and 12 quaternary systems
TCAL1.0 TCAL2(2012.12)(2011.05)
+ Volume
+ more key systems
TCAL1.1(2012.05)
TCAL1.2(2012.08)
Al Cu Fe Mg Mn Ni Si Zn
B C Cr Ge Sn Sr Ti V Zr
Ag Ca H Hf K La Li Na Sc
� 147 binary, 58 ternary, and 12 quaternary systems
� 346 phases
� Major updates from V1.0 to V1.2:
o Refinement of Al-Zn-Mg-Cu-(Fe), Al-Cu-Mg-Si and Al-Fe-Mn-Si systems
o Adding Cu-Li, Li-Mg, Al-Cu-Li and Al-Li-Mg
o Re-validated against wrought Al alloys from 2xxx to 8xxx series and 2xx.x and 3xx.x series foundry Al alloys
o Adding Al-Cr-Si (+Al13Cr4Si4)
o …
Thermo-Calc SoftwareTCAL
Assessed binaries and ternaries
Thermo-Calc SoftwareAl-Cu-Mg-Zn alloy system
Figures: Calculated isothermal sections at 733 K
(a) at 6 wt.% Zn
(b) at 8 wt.% Zn
(c) at 90 wt.% Al
Thermo-Calc SoftwareAl-Cu-Mg-Si alloy system
Figures: Calculated isothermal sections at 773 K
(a) at 1.2 wt.% Si (b) at 4.5 wt.% Cu
Thermo-Calc SoftwareValidation against commercial alloys
Scheil calculation of the A356.1 alloy(Al), Al1 5Si2Mn4, Al9Fe2Si2, (Si), Al18Fe2Mg7Si10, and Mg2Si (in a small amount) are found in microstructures
Equilibrium calculation of the A356.1 alloy
Thermo-Calc SoftwareValidation against commercial alloys
For alloy 204.2, (Al), Al13Fe4, Al7Cu2Fe and Al2Cu are found in the microstructure as predicted from the calculations.
For alloy 332.1, (Al), Al15Si2Mn4, Al9Fe2Si2, (Si), Al18Fe2Mg7Si10, Q_AlCuMgSi, and Al2Cu are found in the microstructure as predicted from the calculations, while Mg2Si is missing in the calculation.
Thermo-Calc SoftwareAl-Cu-Li - (Mg-Zn-Ag) alloy systems
4 ternary phases considered in Al-Cu-Li
T1, Al2CuLiT2, A10.57Cu0.11Li0.32TR, Al0.55Cu0.117Li0.333TB, Al0.60Cu0.32Li0.08
Al-Cu
Al-Mg
Cu
Mg
Li
Thermo-Calc Software
Work in progress
TCNI6 (new elements: O, Ru, Y)SSUB5 (∼400 new substances)MOBAL3MOBNI3