Application of artificial neural networks in micromechanics for polycrystalline metals

Abstract Machine learning techniques are widely used to understand and predict data trends and therefore can provide a huge computational advantage over conventional numerical techniques. In this work, an artificial neural network (ANN) model is coupled with a rate-dependant crystal plasticity finite element method (CPFEM) formulation to predict the stress-strain behavior and texture evolution in AA6063-T6 under uniaxial tension and simple shear. Firstly, stress-strain and texture evolution results from the crystal plasticity simulations were verified with experimental observations for AA6063-T6 under simple shear and tension. Next, results from crystal plasticity simulations were used to train, validate and test the ANN model. The proposed ANN framework, was successfully applied on single crystal simulation results to predict stress-strain and texture data. Then, the proposed ANN framework was applied to predict the stress-strain curves and texture evolution of AA6063-T6 during uniaxial tension and simple shear. The flexibility of the proposed ANN model was also tested, for simple shear, with a completely new data set and the predicted results showed excellent agreement with corresponding crystal plasticity simulations. Finally, the predictive capability of the proposed model was further demonstrated by successfully validating the ANN model for non-proportional loading paths such as uniaxial tension followed by simple shear and simple shear followed by tension. The results presented in this research clearly demonstrate that the proposed ANN model provided significant computational time improvements without any major sacrifice in accuracy.

[1]  R. Asaro,et al.  Overview no. 42 Texture development and strain hardening in rate dependent polycrystals , 1985 .

[2]  A. Brahme,et al.  A new strain hardening model for rate-dependent crystal plasticity , 2011 .

[3]  Mark F. Horstemeyer,et al.  On dislocation-based artificial neural network modeling of flow stress , 2010 .

[4]  Klaus-Robert Müller,et al.  Deep Boltzmann Machines and the Centering Trick , 2012, Neural Networks: Tricks of the Trade.

[5]  W. Muhammad,et al.  Experimental and numerical investigation of texture evolution and the effects of intragranular backstresses in aluminum alloys subjected to large strain cyclic deformation , 2017 .

[6]  M. Mohammadi,et al.  An elasto-plastic constitutive model for evolving asymmetric/anisotropic hardening behavior of AZ31B and ZEK100 magnesium alloy sheets considering monotonic and reverse loading paths , 2015 .

[7]  Sofiane Guessasma,et al.  Microstructure of APS alumina–titania coatings analysed using artificial neural network , 2004 .

[8]  J. Zhong,et al.  Application of neural networks to predict the elevated temperature flow behavior of a low alloy steel , 2008 .

[9]  H. K. D. H. Bhadeshia,et al.  Neural Networks in Materials Science , 1999 .

[10]  Alok Choudhary,et al.  A predictive machine learning approach for microstructure optimization and materials design , 2015, Scientific Reports.

[11]  Dierk Raabe Challenges in computational materials science , 2002 .

[12]  J. Rossiter,et al.  A new crystal plasticity scheme for explicit time integration codes to simulate deformation in 3D microstructures: Effects of strain path, strain rate and thermal softening on localized deformation in the aluminum alloy 5754 during simple shear , 2010 .

[13]  H Çetinel,et al.  Artificial neural networks modeling of mechanical property and microstructure evolution in the Tempcore process , 2002 .

[14]  B. S. Murty,et al.  Prediction of grain size of Al–7Si Alloy by neural networks , 2005 .

[15]  Klaus-Robert Müller,et al.  Assessment and Validation of Machine Learning Methods for Predicting Molecular Atomization Energies. , 2013, Journal of chemical theory and computation.

[16]  A. Brahme,et al.  Coupled crystal plasticity – Probabilistic cellular automata approach to model dynamic recrystallization in magnesium alloys , 2015 .

[17]  Klaus-Robert Müller,et al.  Efficient BackProp , 2012, Neural Networks: Tricks of the Trade.

[18]  Georges Cailletaud,et al.  Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity: Application to crystal plasticity model identification and the study of stress and strain fields near grain boundaries , 2005 .

[19]  A. Brahme,et al.  Determination of the Minimum Scan Size to Obtain Representative Textures by Electron Backscatter Diffraction , 2012, Metallurgical and Materials Transactions A.

[20]  W. Muhammad,et al.  Experimental investigation and through process crystal plasticity-static recrystallization modeling of temperature and strain rate effects during hot compression of AA6063 , 2017 .

[21]  Nasser M. Nasrabadi,et al.  Pattern Recognition and Machine Learning , 2006, Technometrics.

[22]  Dierk Raabe,et al.  Prediction of cold rolling texture of steels using an Artificial Neural Network , 2009 .

[23]  M. Worswick,et al.  Mechanical response of AZ31B magnesium alloy: Experimental characterization and material modeling considering proportional loading at room temperature , 2014 .

[24]  Q. Pan,et al.  Artificial Neural Network Modeling to Evaluate and Predict the Deformation Behavior of ZK60 Magnesium Alloy During Hot Compression , 2010 .

[25]  Farid Abed-Meraim,et al.  Numerical integration of rate‐independent BCC single crystal plasticity models: comparative study of two classes of numerical algorithms , 2016 .

[26]  Ronald Davis,et al.  Neural networks and deep learning , 2017 .

[27]  Geoffrey E. Hinton,et al.  Learning representations by back-propagating errors , 1986, Nature.

[28]  Donald F. Specht,et al.  A general regression neural network , 1991, IEEE Trans. Neural Networks.

[29]  Vladimir Cherkassky,et al.  Self-Organizing Neural Network for Non-Parametric Regression Analysis , 1990 .

[30]  N. Haghdadi,et al.  Artificial neural network modeling to predict the hot deformation behavior of an A356 aluminum alloy , 2013 .

[31]  James H. Garrett,et al.  Knowledge-Based Modeling of Material Behavior with Neural Networks , 1992 .

[32]  Hamid Abdi,et al.  Artificial neural network modeling of flow stress in hot rolling , 2014 .

[33]  K. Inal,et al.  Finite element analysis of localization in FCC polycrystalline sheets under plane stress tension , 2002 .

[34]  R. Asaro,et al.  An experimental study of shear localization in aluminum-copper single crystals , 1981 .

[35]  Cristian Teodosiu,et al.  Characterization of the strain-induced plastic anisotropy of rolled sheets by using sequences of simple shear and uniaxial tensile tests , 2006 .

[36]  A. Pandey,et al.  Experimental and numerical investigations of yield surface, texture, and deformation mechanisms in AA5754 over low to high temperatures and strain rates , 2013 .

[37]  N. Haghdadi,et al.  Artificial neural network modeling to predict the high temperature flow behavior of an AZ81 magnesium alloy , 2012, Materials & Design.

[38]  Y. Lin,et al.  Prediction of metadynamic softening in a multi-pass hot deformed low alloy steel using artificial neural network , 2008 .

[39]  K. Jenab,et al.  The Use of ANN to Predict the Hot Deformation Behavior of AA7075 at Low Strain Rates , 2013, Journal of Materials Engineering and Performance.

[40]  Frédéric Barlat,et al.  Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals , 2008 .