Prediction of the shear strength of aluminum with θ phase inclusions based on precipitate statistics, dislocation and molecular dynamics

Abstract We propose a three-stage technique for predicting the flow stress of aluminum alloy combining atomistic calculations, parameterizing the dislocation–precipitate interaction model, and 2D dislocation dynamics. The precipitates of θ phase in aluminum matrix are considered as the object of atomistic calculations in this work. It is shown that, in contrast to the previously studied precipitates of the aluminum-copper system (GP zones, θ'' and θ' phases), θ phase appears as uncuttable inclusion during our atomistic study demonstrating only significant bending of its shape. The obtained rate and temperature dependencies of the average stress in the system are used to find the parameters of the previously proposed model of the dislocation–precipitate interaction (Krasnikov and Mayer, 2019; Krasnikov et al., 2020) in the case of θ phase. After fitting of the model parameters, the equation of motion of the dislocation in the presence of inclusions of θ phase is used in 2D dislocation dynamics. The dislocation dynamics model employs the experimental data on the size distribution of precipitates (Zuiko and Kaibyshev, 2018). The obtained values of the flow stresses of alloy demonstrate good agreement with the experimental results, and the dislocation dynamics model predicts the correct value of the thermal softening of alloy. The model predicts a strict dependence of the flow stress of alloy on the dispersion of the size distribution of precipitates at the constant average size.

[1]  Alexander E. Mayer,et al.  Dislocation dynamics in aluminum containing θ’ phase: Atomistic simulation and continuum modeling , 2019, International Journal of Plasticity.

[2]  A. Mayer,et al.  Influence of local stresses on motion of edge dislocation in aluminum , 2018 .

[3]  R. Kaibyshev,et al.  Precipitation structure and strengthening mechanisms in an Al-Cu-Mg-Ag alloy , 2017 .

[4]  C. V. Singh,et al.  Mechanisms of Guinier–Preston zone hardening in the athermal limit , 2010 .

[5]  A. Mayer,et al.  Dislocation based high-rate plasticity model and its application to plate-impact and ultra short electron irradiation simulations , 2011 .

[6]  J. Llorca,et al.  Precipitation during high temperature aging of Al−Cu alloys: A multiscale analysis based on first principles calculations , 2019, Acta Materialia.

[7]  S. Chandra,et al.  Hierarchical multiscale modeling of plasticity in copper: From single crystals to polycrystalline aggregates , 2018 .

[8]  C. V. Singh,et al.  Atomistic simulations of dislocation–precipitate interactions emphasize importance of cross-slip , 2011 .

[9]  Murray S. Daw,et al.  The embedded-atom method: a review of theory and applications , 1993 .

[10]  Yuan Gao,et al.  Investigations of pipe-diffusion-based dislocation climb by discrete dislocation dynamics , 2011 .

[11]  A. Stukowski Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool , 2009 .

[12]  A. Mayer,et al.  Molecular Dynamics Investigation of Dislocation Slip in Pure Metals and Alloys , 2019, Structural Integrity.

[13]  J. C. Hamilton,et al.  Dislocation nucleation and defect structure during surface indentation , 1998 .

[14]  Z. Xinming,et al.  Evolution of θ′ precipitate in aluminum alloy 2519A impacted by split Hopkinson bar , 2015 .

[15]  T. Záležák,et al.  High temperature dislocation processes in precipitation hardened crystals investigated by a 3D discrete dislocation dynamics , 2017 .

[16]  D. Raabe,et al.  Precipitation hardening effects on extension twinning in magnesium alloys , 2018, International Journal of Plasticity.

[17]  A. Kuksin,et al.  Atomistic simulation of the motion of dislocations in metals under phonon drag conditions , 2013 .

[18]  L. Hector,et al.  Solute strengthening from first principles and application to aluminum alloys , 2012 .

[19]  H. C. Andersen,et al.  Molecular dynamics study of melting and freezing of small Lennard-Jones clusters , 1987 .

[20]  Nathan R. Barton,et al.  A multiscale strength model for extreme loading conditions , 2011 .

[21]  S. Ringer,et al.  The effect of trace additions of sn on precipitation in Al-Cu alloys: An atom probe field ion microscopy study , 1995 .

[22]  S. Celotto,et al.  Structure evolution in dilute Al(Cu) alloys observed by 63Cu NMR , 2003 .

[23]  Bilge Yildiz,et al.  Onset mechanism of strain-rate-induced flow stress upturn. , 2012, Physical review letters.

[24]  A. Mayer,et al.  Modeling of plastic localization in aluminum and Al-Cu alloys under shock loading , 2014 .

[25]  P. N. Mayer,et al.  Localization of plastic flow at high-rate simple shear , 2013 .

[26]  Jianjun Li,et al.  Stress-level-dependency and bimodal precipitation behaviors during creep ageing of Al-Cu alloy: Experiments and modeling , 2018, International Journal of Plasticity.

[27]  A. Guinier,et al.  Heterogeneities in Solid Solutions , 1959 .

[28]  D. Warner,et al.  Investigating dislocation motion through a field of solutes with atomistic simulations and reaction rate theory , 2017 .

[29]  J. Segurado,et al.  Discrete dislocation dynamics simulations of dislocation-θ′ precipitate interaction in Al-Cu alloys , 2018, Journal of the Mechanics and Physics of Solids.

[30]  Hong He,et al.  Grain structure and precipitate variations in 7003-T6 aluminum alloys associated with high strain rate deformation , 2019, Materials Science and Engineering: A.

[31]  William A. Curtin,et al.  Solute strengthening in random alloys , 2017 .

[32]  V.S. Krasnikov,et al.  Interaction of dislocation with GP zones or θ" phase precipitates in aluminum: Atomistic simulations and dislocation dynamics , 2020 .

[33]  Jaehyun Cho,et al.  The Coupled Atomistic/Discrete-Dislocation method in 3d part I: Concept and algorithms , 2018, Journal of the Mechanics and Physics of Solids.

[34]  A. Kuksin,et al.  Dynamics and kinetics of dislocations in Al and Al–Cu alloy under dynamic loading , 2014 .

[35]  David L. McDowell,et al.  Thermal activation of dislocations in large scale obstacle bypass , 2017 .

[36]  C. V. Singh,et al.  Harnessing atomistic simulations to predict the rate at which dislocations overcome obstacles , 2016 .

[37]  J. Silcock,et al.  The Orientation and Shape of θ Precipitates Formed in an AlCu Alloy , 1967 .

[38]  J. Embury Plastic flow in dispersion hardened materials , 1985 .

[39]  David L. McDowell,et al.  Concurrent atomistic–continuum simulations of dislocation–void interactions in fcc crystals , 2015 .

[40]  J. Segurado,et al.  An atomistic investigation of the interaction of dislocations with Guinier-Preston zones in Al-Cu alloys , 2018, Acta Materialia.

[41]  M. Starink,et al.  Mechanisms of combined GP zone and θ′ precipitation in an Al-Cu alloy , 1997 .

[42]  D. Miracle,et al.  Strengthening mechanisms of an Al-Mg-Sc-Zr alloy , 2002 .

[43]  V. Gerold On the structures of Guinier-Preston zones in AlCu alloys introductory paper , 1988 .

[44]  O. Naimark Structural-scale transitions in solids with defects and symmetry aspects of field theory , 2010 .

[45]  S. J. Cimpoeru,et al.  Dynamic shear testing of 2024 T351 aluminium at elevated temperature , 2019, Materials Science and Engineering: A.

[46]  Y. Mishin,et al.  Interatomic potential for the Al-Cu system , 2011 .

[47]  Shaofan Li,et al.  A multiscale dislocation pattern dynamics: Towards an atomistic-informed crystal plasticity theory , 2019, Journal of the Mechanics and Physics of Solids.

[48]  D. Bacon,et al.  Dislocation—Obstacle Interactions at Atomic Level in Irradiated Metals , 2009 .

[49]  Yun-lai Deng,et al.  Flow behavior and microstructure evolution of 7055 aluminum alloy impacted at high strain rates , 2016 .

[50]  T. Dorin,et al.  Quantification and modelling of the microstructure/strength relationship by tailoring the morphological parameters of the T1 phase in an Al–Cu–Li alloy , 2014 .

[51]  Yaxin Zhu,et al.  Study on interactions of an edge dislocation with vacancy-H complex by atomistic modelling , 2017 .

[52]  H. Berendsen,et al.  Molecular dynamics with coupling to an external bath , 1984 .

[53]  Stephan Wulfinghoff,et al.  Atomistically motivated interface model to account for coupled plasticity and damage at grain boundaries , 2019, Journal of the Mechanics and Physics of Solids.

[54]  Pierre Hirel,et al.  Atomsk: A tool for manipulating and converting atomic data files , 2015, Comput. Phys. Commun..

[55]  M. Zikry,et al.  Microstructural Characterization of a High-Strength Aluminum Alloy Subjected to High Strain-Rate Impact , 2011 .

[56]  Steve Plimpton,et al.  Fast parallel algorithms for short-range molecular dynamics , 1993 .

[58]  V. Bulatov,et al.  Automated identification and indexing of dislocations in crystal interfaces , 2012 .

[59]  Y. Bayandin,et al.  Collective properties of defects, multiscale plasticity, and shock induced phenomena in solids , 2017 .

[60]  A. Ngan,et al.  Origin of double-peak precipitation hardening in metallic alloys , 2018, International Journal of Plasticity.

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

[62]  S. Ringer,et al.  Precipitate stability in AlCuMgAg alloys aged at high temperatures , 1994 .

[63]  A. Kuksin,et al.  Plastic deformation under high-rate loading: The multiscale approach , 2010 .

[64]  M. Alava,et al.  Multiscale modeling of dislocation-precipitate interactions in Fe: From molecular dynamics to discrete dislocations. , 2016, Physical review. E.

[65]  R. Kaibyshev,et al.  Aging behavior of an Al–Cu–Mg alloy , 2018, Journal of Alloys and Compounds.

[66]  S. Uvarov,et al.  Nonequilibrium transitions in ensembles of defects attributed to dynamic localization of plastic deformation , 2014 .

[67]  J. Molinari,et al.  Coupled atomistic/discrete dislocation method in 3D Part II: Validation of the method , 2018, Journal of the Mechanics and Physics of Solids.

[68]  R. Fonda,et al.  Interfacial structure of ? precipitates in Al?5wt.%Cu alloys? , 1989 .

[69]  C. Sinclair,et al.  Atomistic insights into cluster strengthening in aluminum alloys , 2018, Materialia.

[70]  B. Liu,et al.  A statistical theory of probability-dependent precipitation strengthening in metals and alloys , 2019, Journal of the Mechanics and Physics of Solids.

[71]  D. McDowell,et al.  A rationale for modeling hydrogen effects on plastic deformation across scales in FCC metals , 2018, International Journal of Plasticity.

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

[73]  S. Schmauder,et al.  Molecular dynamics investigations of the strengthening of Al-Cu alloys during thermal ageing , 2017 .