Phase field modeling of coupled crystal plasticity and deformation twinning in polycrystals with monolithic and splitting solvers

[1]  Francisco Armero,et al.  A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems , 1992 .

[2]  Ricardo A. Lebensohn,et al.  A model for texture development dominated by deformation twinning: Application to zirconium alloys , 1991 .

[3]  Jaemin Shin,et al.  First and second order numerical methods based on a new convex splitting for phase-field crystal equation , 2016, J. Comput. Phys..

[4]  Somnath Ghosh,et al.  A crystal plasticity FE model for deformation with twin nucleation in magnesium alloys , 2015 .

[5]  L. Lorenzis,et al.  Phase-field modeling of ductile fracture , 2015, Computational Mechanics.

[6]  M. Barnett.  Twinning and the ductility of magnesium alloys Part I: “Tension” twins , 2007 .

[7]  WaiChing Sun,et al.  A stabilized assumed deformation gradient finite element formulation for strongly coupled poromechanical simulations at finite strain , 2013 .

[8]  David Wells,et al.  The deal.II library, Version 9.0 , 2018, J. Num. Math..

[9]  G. Strang,et al.  Operator splitting , 2011 .

[10]  C. Linder,et al.  Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities , 2019, Computer Methods in Applied Mechanics and Engineering.

[11]  S. Kalidindi.  Incorporation of deformation twinning in crystal plasticity models , 1998 .

[12]  Gwénaëlle Proust,et al.  Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31 , 2009 .

[13]  WaiChing Sun,et al.  Computational thermo-hydro-mechanics for multiphase freezing and thawing porous media in the finite deformation range , 2017 .

[14]  WaiChing Sun,et al.  A configurational force for adaptive re-meshing of gradient-enhanced poromechanics problems with history-dependent variables , 2019 .

[15]  Tao Tang,et al.  Fast and stable explicit operator splitting methods for phase-field models , 2015, J. Comput. Phys..

[16]  WaiChing Sun,et al.  A phase field model for cohesive fracture in micropolar continua , 2020, ArXiv.

[17]  R. Quey,et al.  Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing , 2011 .

[18]  Guowei Liu,et al.  Abaqus implementation of monolithic and staggered schemes for quasi-static and dynamic fracture phase-field model , 2016 .

[19]  Christian Miehe,et al.  A comparative study of stress update algorithms for rate‐independent and rate‐dependent crystal plasticity , 2001 .

[20]  Qiushi Chen,et al.  ALBANY: USING COMPONENT-BASED DESIGN TO DEVELOP A FLEXIBLE, GENERIC MULTIPHYSICS ANALYSIS CODE , 2016 .

[21]  I. Beyerlein,et al.  Explicit incorporation of deformation twins into crystal plasticity finite element models , 2015 .

[22]  Laura De Lorenzis,et al.  A review on phase-field models of brittle fracture and a new fast hybrid formulation , 2015 .

[23]  O. Graessel,et al.  High strength Fe–Mn–(Al, Si) TRIP/TWIP steels development — properties — application , 2000 .

[24]  Lallit Anand,et al.  Single-crystal elasto-viscoplasticity: application to texture evolution in polycrystalline metals at large strains , 2004 .

[25]  R. Kondo,et al.  A phase-field model of twinning and detwinning coupled with dislocation-based crystal plasticity for HCP metals , 2014 .

[26]  Christian Linder,et al.  A variational framework to model diffusion induced large plastic deformation and phase field fracture during initial two-phase lithiation of silicon electrodes , 2016 .

[27]  WaiChing Sun,et al.  Circumventing mesh bias by r- and h-adaptive techniques for variational eigenfracture , 2019, International Journal of Fracture.

[28]  WaiChing Sun,et al.  Coupled phase-field and plasticity modeling of geological materials: From brittle fracture to ductile flow , 2018 .

[29]  Cv Clemens Verhoosel,et al.  Gradient damage vs phase-field approaches for fracture: Similarities and differences , 2016 .

[30]  WaiChing Sun,et al.  Computational thermomechanics of crystalline rock, Part I: A combined multi-phase-field/crystal plasticity approach for single crystal simulations , 2018, Computer Methods in Applied Mechanics and Engineering.

[31]  Somnath Ghosh,et al.  Crystal plasticity finite element modeling of discrete twin evolution in polycrystalline magnesium , 2017 .

[32]  I. Beyerlein,et al.  A single crystal plasticity finite element formulation with embedded deformation twins , 2019 .

[33]  G. Strang.  On the Construction and Comparison of Difference Schemes , 1968 .

[34]  WaiChing Sun,et al.  A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics , 2018, Computer Methods in Applied Mechanics and Engineering.

[35]  Peter Wriggers,et al.  Phase-field modeling of brittle fracture using an efficient virtual element scheme , 2018, Computer Methods in Applied Mechanics and Engineering.

[36]  WaiChing Sun,et al.  Modeling the hydro-mechanical responses of strip and circular punch loadings on water-saturated collapsible geomaterials , 2014 .

[37]  WaiChing Sun,et al.  SO(3)-invariance of informed-graph-based deep neural network for anisotropic elastoplastic materials , 2020, Computer Methods in Applied Mechanics and Engineering.

[38]  W. Bangerth,et al.  deal.II—A general-purpose object-oriented finite element library , 2007, TOMS.

[39]  Wei Ding,et al.  An integrated crystal plasticity–phase field model for spatially resolved twin nucleation, propagation, and growth in hexagonal materials , 2018, International Journal of Plasticity.

[40]  J. Knap,et al.  A phase field model of deformation twinning: Nonlinear theory and numerical simulations , 2011 .

[41]  WaiChing Sun,et al.  FFT-based solver for higher-order and multi-phase-field fracture models applied to strongly anisotropic brittle materials , 2020, Computer Methods in Applied Mechanics and Engineering.

[42]  WaiChing Sun,et al.  Lie-group interpolation and variational recovery for internal variables , 2013, Computational Mechanics.

[43]  J. Knap,et al.  Phase Field Modeling and Simulation of Coupled Fracture and Twinning in Single Crystals and Polycrystals , 2016 .

[44]  Jaemin Shin,et al.  First and second order operator splitting methods for the phase field crystal equation , 2015, J. Comput. Phys..

[45]  Shenyang Y. Hu,et al.  Simulations of stress-induced twinning and de-twinning: A phase field model , 2010 .

[46]  A. Wilkinson,et al.  Growth of {112¯2} twins in titanium: A combined experimental and modelling investigation of the local state of deformation , 2017 .

[47]  Thomas Wick,et al.  Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation , 2017 .

[48]  WaiChing Sun,et al.  A stabilized finite element formulation for monolithic thermo‐hydro‐mechanical simulations at finite strain , 2015 .

[49]  László Gránásy,et al.  Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients , 2009, J. Comput. Phys..