Microstructure-based multiscale modeling of large strain plastic deformation by coupling a full-field crystal plasticity-spectral solver with an implicit finite element solver
Source abstract
Abstract
Abstract We present a fully embedded implementation of a full-field crystal plasticity model in an implicit finite element (FE) framework, a combination which realizes a multiscale approach for the simulation of large strain plastic deformation. At each integration point of the macroscopic FE model a spectral solver, based on Fast Fourier Transforms (FFTs), feeds-in the homogenized response from an underlying full-field polycrystalline representative volume element (RVE) model which is solved by using a crystal plasticity constitutive formulation. Both, a phenomenological hardening law and a dislocation density based hardening model, implemented in the open source software DAMASK, have been employed to provide the constitutive response at the mesoscale. The accuracy of the FE-FFT model has been benchmarked by one-element tests of several loading scenarios for an FCC polycrystal including simple tension, simple compression, and simple shear. The multiscale model is applied to simulate four application cases, i.e., plane strain deformation of an FCC plate, compression of an FCC cylinder, four-point bending of HCP bars, and beam bending of a dual-phase steel. The excellent capabilities of the model to predict the microstructure evolution at the mesoscale and the mechanical responses at both macroscale and mesoscale are demonstrated.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Microstructure and mechanical properties · Composite Material Mechanics · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (93)
Show source-provided references
1. Strain rate and temperature sensitive multi-level crystal plasticity model for large plastic deformation behavior: application to AZ31 magnesium alloy10.1016/j.ijplas.2016.04.005 ↗
2. Overview no. 42 Texture development and strain hardening in rate dependent polycrystals10.1016/0001-6160(85)90188-9 ↗
3. Three-dimensional deformation process simulation with explicit use of polycrystal plasticity models10.1016/0749-6419(93)90054-T ↗
4. A multi-scale approach to bridge microscale damage and macroscale failure: a nested computational homogenization-localization framework10.1007/s10704-012-9765-4 ↗
5. Modelling of recrystallisation textures in aluminium alloys: I. Model set-up and integration10.1016/j.actamat.2006.03.017 ↗
6. Modelling of recrystallisation textures in aluminium alloys: II. Model performance and experimental validation10.1016/j.actamat.2006.03.019 ↗
7. Dassault Systèmes · 2017
8. Quantitative prediction of textures in aluminium cold rolled to moderate strains10.1016/S0921-5093(01)01966-9 ↗
9. Crystal plasticity study on stress and strain partitioning in a measured 3D dual phase steel microstructure10.1134/S1029959917030079 ↗
10. Neighborhood influences on stress and strain partitioning in dual-phase microstructures10.1007/s11012-015-0281-2 ↗
11. A spectral method solution to crystal elasto-viscoplasticity at finite strains10.1016/j.ijplas.2012.09.012 ↗
12. Texture prediction from a novel grain cluster-based homogenization scheme10.1007/s12289-009-0561-2 ↗
13. Modeling the anisotropy of hot plastic deformation of two-phase titanium alloys with a colony microstructure10.1016/j.ijplas.2018.02.010 ↗
14. A multilevel finite element method (FE2) to describe the response of highly non-linear structures using generalized continua10.1016/S0045-7825(03)00348-7 ↗
15. FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials10.1016/S0045-7825(99)00224-8 ↗
16. An improved algorithm for the polycrystal viscoplastic self-consistent model and its integration with implicit finite element schemes10.1088/0965-0393/22/5/055023 ↗
17. An evolving plane stress yield criterion based on crystal plasticity virtual experiments10.1016/j.ijplas.2015.02.011 ↗
18. Hierarchical multi-scale modeling of texture induced plastic anisotropy in sheet forming10.1016/j.commatsci.2012.05.056 ↗
19. Multi-scale computational homogenization: trends and challenges10.1016/j.cam.2009.08.077 ↗
20. Relationship between rolling textures and shear textures in fcc and bcc metals10.1016/0956-7151(94)90283-6 ↗
21. Han · 2019
22. A multi-scale model for description of strain localization in friction stir welded magnesium alloy10.1016/j.commatsci.2015.04.002 ↗
23. A hierarchical multi-scale model for hexagonal materials taking into account texture evolution during forming simulation10.1016/j.commatsci.2013.10.023 ↗
24. Microstructure-based description of the deformation of metals: theory and application10.1007/s11837-011-0056-8 ↗
25. Tensile deformation of aluminum single crystals at low temperatures10.1016/0001-6160(60)90127-9 ↗
26. Bounds and self-consistent estimates for creep of polycrystalline materials
27. Prediction of the effects of hardening and texture heterogeneities by finite element analysis based on the Taylor model10.1016/j.ijplas.2012.10.006 ↗
28. Incorporation of deformation twinning in crystal plasticity models10.1016/S0022-5096(97)00051-3 ↗
29. Crystallographic texture evolution in bulk deformation processing of FCC metals10.1016/0022-5096(92)80003-9 ↗
30. Mechanical response of zirconium—II. Experimental and finite element analysis of bent beams10.1016/S1359-6454(01)00191-4 ↗
31. Anisotropic modeling of structural components using embedded crystal plasticity constructive laws within finite elements10.1016/j.ijmecsci.2015.11.021 ↗
32. Modeling bending of α-titanium with embedded polycrystal plasticity in implicit finite elements10.1016/j.msea.2012.11.037 ↗
33. Integration of self-consistent polycrystal plasticity with dislocation density based hardening laws within an implicit finite element framework: application to low-symmetry metals10.1016/j.jmps.2013.05.005 ↗
34. Kochmann · 2018 · 129
35. Efficient and accurate two-scale FE-FFT-based prediction of the effective material behavior of elasto-viscoplastic polycrystals10.1007/s00466-017-1476-2 ↗
36. Two-scale FE–FFT- and phase-field-based computational modeling of bulk microstructural evolution and macroscopic material behavior10.1016/j.cma.2016.03.001 ↗
37. An approach to micro-macro modeling of heterogeneous materials10.1007/s004660000212 ↗
38. Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme10.1002/nme.541 ↗
39. A multi-scale model of martensitic transformation plasticity10.1016/j.mechmat.2008.02.004 ↗
40. Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy10.1016/j.cma.2003.12.073 ↗
41. On two-scale adaptive FE analysis of micro-heterogeneous media with seamless scale-bridging10.1016/j.cma.2010.10.012 ↗
42. N-site modeling of a 3D viscoplastic polycrystal using fast Fourier transform10.1016/S1359-6454(01)00172-0 ↗
43. A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys10.1016/0956-7151(93)90130-K ↗
44. GA-based multiple objective optimisation for determining viscoplastic constitutive equations for superplastic alloys10.1016/S0749-6419(99)00031-5 ↗
45. Dislocation mechanism based size-dependent crystal plasticity modeling and simulation of gradient nano-grained copper10.1016/j.ijplas.2018.09.007 ↗
46. A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals10.1016/j.actamat.2004.04.012 ↗
47. On modeling the development of crystallographic texture in bulk forming processes10.1016/0749-6419(89)90020-X ↗
48. Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals10.1016/S0022-5096(02)00016-9 ↗
49. Computational homogenization analysis in finite plasticity Simulation of texture development in polycrystalline materials10.1016/S0045-7825(98)00218-7 ↗
50. A self consistent approach of the large deformation polycrystal viscoplasticity10.1016/0001-6160(87)90297-5 ↗
51. A numerical method for computing the overall response of nonlinear composites with complex microstructure10.1016/S0045-7825(97)00218-1 ↗
52. A multiscale simulation framework of the accumulative roll bonding process accounting for texture evolution10.1016/j.msea.2015.02.005 ↗
53. Simulation of rolling textures of bcc metals considering grain interactions and crystallographic slip on {110},{112} and {123} planes10.1016/0921-5093(94)09770-4 ↗
54. On the dependence of in-grain subdivision and deformation texture of aluminum on grain interaction10.1016/S1359-6454(02)00276-8 ↗
55. An adaptive sub-incremental strategy for the solution of homogenization-based multi-scale problems10.1016/j.cma.2013.01.003 ↗
56. Damask – the Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale10.1016/j.commatsci.2018.04.030 ↗
57. Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications10.1016/j.actamat.2009.10.058 ↗
58. Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements10.1016/j.ijplas.2011.07.002 ↗
59. Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials10.1016/j.ijplas.2014.02.006 ↗
60. Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling10.1016/S0045-7825(97)00139-4 ↗
61. A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms10.1016/j.cma.2013.10.017 ↗
62. An overview of dual-phase steels: advances in microstructure-oriented processing and micromechanically guided design10.1146/annurev-matsci-070214-021103 ↗
63. Integrated experimental–simulation analysis of stress and strain partitioning in multiphase alloys10.1016/j.actamat.2014.07.071 ↗
64. Strain localization and damage in dual phase steels investigated by coupled in-situ deformation experiments and crystal plasticity simulations10.1016/j.ijplas.2014.06.004 ↗
65. Plastic strain in metals
66. On the computation of the macroscopic tangent for multiscale volumetric homogenization problems10.1016/j.cma.2008.08.018 ↗
67. An adaptive multiscale resolution strategy for the finite deformation analysis of microheterogeneous structures10.1016/j.cma.2010.06.013 ↗
68. Simulation of the deformation texture of a 17%Cr ferritic stainless steel using the texture component crystal plasticity finite element method considering texture gradients10.1016/j.scriptamat.2005.12.038 ↗
69. Simulation of earing of a 17% Cr stainless steel considering texture gradients10.1016/j.msea.2007.11.063 ↗
70. A novel grain cluster-based homogenization scheme
71. Relaxed grain cluster (RGC) homogenization scheme10.1007/s12289-009-0619-1 ↗
72. Multiscale deep drawing analysis of dual-phase steels using grain cluster-based RGC scheme10.1088/0965-0393/23/4/045005 ↗
73. Mechanical response of zirconium—I. Derivation of a polycrystal constitutive law and finite element analysis10.1016/S1359-6454(01)00190-2 ↗
74. A study of residual stresses in Zircaloy-2 with rod texture10.1016/0956-7151(94)90191-0 ↗
75. Evolution of crystallographic texture and mechanical anisotropy during cup drawing
76. Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction10.1016/S0749-6419(00)00102-9 ↗
77. Quantitative prediction of cold rolling textures in low-carbon steel by means of the LAMEL model10.1155/TSM.31.109 ↗
78. Multiscale modelling of the plastic anisotropy and deformation texture of polycrystalline materials10.1016/j.euromechsol.2006.05.003 ↗
79. Deformation texture prediction: from the Taylor model to the advanced Lamel model10.1016/j.ijplas.2004.04.011 ↗
80. Modeling texture evolution during hot rolling of magnesium alloy AZ3110.1016/j.msea.2006.09.028 ↗
81. Simulation of earing during deep drawing of magnesium alloy AZ3110.1016/j.actamat.2006.09.007 ↗
82. On the role of the collinear dislocation interaction in deformation patterning and laminate formation in single crystal plasticity10.1016/j.mechmat.2018.06.007 ↗
83. A crystal plasticity model for twinning- and transformation-induced plasticity10.1016/j.actamat.2016.07.032 ↗
84. Coupling elasto-plastic self-consistent crystal plasticity and implicit finite elements: applications to compression, cyclic tension-compression, and bending to large strains10.1016/j.ijplas.2016.07.016 ↗
85. Transitioning rate sensitivities across multiple length scales: microstructure-property relationships in the Taylor cylinder impact test on zirconium10.1016/j.ijplas.2016.05.005 ↗
86. Modeling of sheet metal forming based on implicit embedding of the elasto-plastic self-consistent formulation in shell elements: application to cup drawing of AA6022-T410.1007/s11837-017-2255-4 ↗
87. A new visco-plastic self-consistent formulation implicit in dislocation-based hardening within implicit finite elements: application to high strain rate and impact deformation of tantalum10.1016/j.cma.2018.07.027 ↗
88. An implicit formulation of the elasto-plastic self-consistent polycrystal plasticity model and its implementation in implicit finite elements10.1016/j.mechmat.2019.103065 ↗
89. A new implementation of the spectral crystal plasticity framework in implicit finite elements10.1016/j.mechmat.2015.01.018 ↗
90. Spectral database solutions to elasto-viscoplasticity within finite elements: application to a cobalt-based FCC superalloy10.1016/j.ijplas.2015.03.007 ↗
91. A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations10.1016/j.ijplas.2016.01.002 ↗
92. Study of microstructural grain and geometric size effects on plastic heterogeneities at grain-level by using crystal plasticity modeling with high-fidelity representative microstructures10.1016/j.ijplas.2017.09.011 ↗
93. A texture optimization study for minimum earing in aluminium by use of a texture component crystal plasticity finite element method10.1016/j.actamat.2003.03.001 ↗