Influence of rafted microstructures on creep in Ni-base single crystal superalloys: a 3D discrete dislocation dynamics study

Ni-base single-crystal superalloys exhibit a dynamic evolution of their microstructure during operation at elevated temperatures. The rafting of γ′ precipitates changes the mechanical behavior in a way that was understood insufficiently. In this work, we combine a phase-field method with a discrete dislocation dynamics model to clarify the influence of different rafted microstructures with the same initial dislocation density and configuration on creep behavior. The unrafted and rafted microstructures of Ni-base single crystal superalloys are simulated by a phase-field crystal plasticity method. By introducing these microstructures into a 3D discrete dislocation dynamics (DDD) model, the creep behavior under uniaxial loads of 350 and 250 MPa along [100] direction at 950 °C is studied. Due to the negative lattice mismatch of Ni-base superalloys, the N-type rafting with the formation of plate-like γ′ precipitates occurs under uniaxial tensile loads along {100} direction at high temperatures, while the P-type rafting with the formation of rod-like γ′ precipitates occurs under compressive loads. Taking the cuboidal, N-type rafted and P-type rafted microstructures as the initial and fixed microstructures for the same loading conditions, it is found from DDD simulations that the rafted microstructures result in smaller creep deformation than the cuboidal microstructure. The reason for this is that the coalescence of γ′ precipitates during the rafting diminishes the width of some γ channels, so as to increase the local Orowan stresses which retard the dislocation glide. For tensile loads, the N-type rafted microstructure has the best creep resistance. For a low compressive load, the P-type rafting shows a better creep resistance than N-type rafting.

[1]  I. Steinbach,et al.  Role of coherency loss on rafting behavior of Ni-based superalloys , 2020 .

[2]  I. Steinbach,et al.  Combined phase-field crystal plasticity simulation of P- and N-type rafting in Co-based superalloys , 2019, Acta Materialia.

[3]  R. Drautz,et al.  Influence of Excess Volumes Induced by Re and W on Dislocation Motion and Creep in Ni-Base Single Crystal Superalloys: A 3D Discrete Dislocation Dynamics Study , 2019, Metals.

[4]  I. Steinbach,et al.  Rejuvenation of Single-Crystal Ni-Base Superalloy Turbine Blades: Unlimited Service Life? , 2018, Metallurgical and Materials Transactions A.

[5]  M. Fivel,et al.  3D discrete dislocation dynamics study of creep behavior in Ni-base single crystal superalloys by a combined dislocation climb and vacancy diffusion model , 2017 .

[6]  A. Hussein,et al.  The strength and dislocation microstructure evolution in superalloy microcrystals , 2017 .

[7]  G. Eggeler,et al.  Double minimum creep of single crystal Ni-base superalloys , 2016 .

[8]  M. Graef,et al.  Quantification of rafting of γ′ precipitates in Ni-based superalloys , 2016 .

[9]  Yaming Fan,et al.  Constitutive modeling of creep behavior in single crystal superalloys: Effects of rafting at high temperatures , 2015 .

[10]  I. Steinbach,et al.  Primary combination of phase-field and discrete dislocation dynamics methods for investigating athermal plastic deformation in various realistic Ni-base single crystal superalloy microstructures , 2015 .

[11]  G. Eggeler,et al.  Influence of microstructure on macroscopic elastic properties and thermal expansion of nickel‐base superalloys ERBO/1 and LEK94 , 2015 .

[12]  R. Drautz,et al.  On the role of Re in the stress and temperature dependence of creep of Ni-base single crystal superalloys , 2015 .

[13]  Alexander Hartmaier,et al.  Influence of misfit stresses on dislocation glide in single crystal superalloys: A three-dimensional discrete dislocation dynamics study , 2015 .

[14]  H. Mughrabi The importance of sign and magnitude of γ/γ′ lattice misfit in superalloys—with special reference to the new γ′-hardened cobalt-base superalloys , 2014 .

[15]  Zhiqiang Wang,et al.  Parametric dislocation dynamics simulation of precipitation hardening in a Ni-based superalloy , 2014 .

[16]  F. Roters,et al.  Interfacial dislocation motion and interactions in single-crystal superalloys , 2014 .

[17]  G. Eggeler,et al.  On the nature of γ′ phase cutting and its effect on high temperature and low stress creep anisotropy of Ni-base single crystal superalloys , 2014 .

[18]  Ingo Steinbach,et al.  Phase-Field Model for Microstructure Evolution at the Mesoscopic Scale , 2013 .

[19]  Minsheng Huang,et al.  Modeling dislocation cutting the precipitate in nickel-based single crystal superalloy via the discrete dislocation dynamics with SISF dissociation scheme , 2013 .

[20]  G. Eggeler,et al.  Effect of climb on dislocation mechanisms and creep rates in γ′-strengthened Ni base superalloy single crystals: A discrete dislocation dynamics study , 2013 .

[21]  G. Eggeler,et al.  High-temperature and low-stress creep anisotropy of single-crystal superalloys , 2013 .

[22]  B. Fedelich,et al.  Experimental characterization and mechanical modeling of creep induced rafting in superalloys , 2012 .

[23]  D. Dimiduk,et al.  Critical percolation stresses of random Frank–Read sources in micrometer-sized crystals of superalloys , 2012 .

[24]  S. Forest,et al.  A phase field model incorporating strain gradient viscoplasticity: Application to rafting in Ni-base superalloys , 2012 .

[25]  Liguo Zhao,et al.  Discrete dislocation dynamics modelling of mechanical deformation of nickel-based single crystal superalloys , 2012 .

[26]  G. Cailletaud,et al.  Constitutive modeling of the creep behavior of single crystal superalloys under non-isothermal conditions inducing phase transformations , 2010 .

[27]  Thomas Link,et al.  Creep damage of single-crystal nickel base superalloys: mechanisms and effect on low cycle fatigue , 2010 .

[28]  T. Bieler,et al.  Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications , 2010 .

[29]  A. Finel,et al.  Coupling phase field and viscoplasticity to study rafting in Ni-based superalloys , 2010 .

[30]  I. Steinbach Phase-field models in materials science , 2009 .

[31]  Yunzhi Wang,et al.  Contributions from elastic inhomogeneity and from plasticity to γ' rafting in single-crystal Ni-Al , 2008 .

[32]  C. Shen,et al.  Phase field modeling of channel dislocation activity and γ′ rafting in single crystal Ni–Al , 2007 .

[33]  R. Reed,et al.  Primary creep in single crystal superalloys: Origins, mechanisms and effects , 2007 .

[34]  R. Reed The Superalloys: Fundamentals and Applications , 2006 .

[35]  Markus Apel,et al.  Multi phase field model for solid state transformation with elastic strain , 2006 .

[36]  H. Harada,et al.  CREEP DEFORMATION MECHANISMS IN SOME MODERN SINGLE-CRYSTAL SUPERALLOYS , 2004 .

[37]  W. Cai,et al.  Massively-Parallel Dislocation Dynamics Simulations , 2004 .

[38]  D. Knowles,et al.  Mechanism of 〈112〉/3 slip initiation and anisotropy of γ′ phase in CMSX-4 during creep at 750°C and 750 MPa , 2003 .

[39]  M. Hirao,et al.  Rafting mechanism for Ni-base superalloy under external stress: elastic or elastic–plastic phenomena? , 2003 .

[40]  M. Kamaraj Rafting in single crystal nickel-base superalloys — An overview , 2003 .

[41]  Alan Needleman,et al.  Discrete dislocation modeling in three-dimensional confined volumes , 2001 .

[42]  H. Mughrabi,et al.  Microstructure and High-Temperature Strength of Monocrystalline Nickel-Base Superalloys , 2000 .

[43]  R. Reed,et al.  Creep of CMSX-4 superalloy single crystals: effects of rafting at high temperature , 1999 .

[44]  M. Fivel,et al.  Developing rigorous boundary conditions to simulations of discrete dislocation dynamics , 1999 .

[45]  Nasr M. Ghoniem,et al.  Fast-sum method for the elastic field of three-dimensional dislocation ensembles , 1999 .

[46]  R. Reed,et al.  On the kinetics of rafting in CMSX-4 superalloy single crystals , 1999 .

[47]  M. Fivel,et al.  Mesoscopic scale simulation of dislocation dynamics in fcc metals: Principles and applications , 1998 .

[48]  Hussein M. Zbib,et al.  On plastic deformation and the dynamics of 3D dislocations , 1998 .

[49]  F. Nabarro,et al.  The thermodynamic driving force for rafting in superalloys , 1996 .

[50]  Frank Reginald Nunes Nabarro,et al.  Rafting in Superalloys , 1996 .

[51]  J. Buffière,et al.  A dislocation based criterion for the raft formation in nickel-based superalloys single crystals , 1995 .

[52]  A. Argon,et al.  Directional coarsening in nickel-base single crystals with high volume fractions of coherent precipitates , 1994 .

[53]  A. Argon,et al.  Creep resistance of CMSX-3 nickel base superalloy single crystals , 1992 .

[54]  P. Veyssiére,et al.  On precipitate shearing by superlattice stacking faults in superalloys , 1988 .

[55]  J. Strudel,et al.  On The Creep Resistance of Some Nickel Base Single Crystals , 1984 .

[56]  L. J. Ebert,et al.  Gamma prime shape changes during creep of a nickel-base superalloy , 1983 .

[57]  J. Tien,et al.  The effect of uniaxial stress on the periodic morphology of coherent gamma prime precipitates in nickel-base superalloy crystals , 1971 .

[58]  B. Kear,et al.  The mechanism of creep in gamma prime precipitation-hardened nickel-base alloys at intermediate temperatures , 1970 .