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Journal articles on the topic 'Crystal Plasticity Finite Element Modelling'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

CHEN, Y. P., W. B. LEE, S. TO, and H. WANG. "FINITE ELEMENT MODELLING OF MICRO-CUTTING PROCESSES FROM CRYSTAL PLASTICITY." International Journal of Modern Physics B 22, no. 31n32 (December 30, 2008): 5943–48. http://dx.doi.org/10.1142/s0217979208051418.

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In ultra-precision machining (UPM), the depth of cut is within an extremely small fraction of the average grain size of the substrate materials to be cut. Polycrystalline materials commonly treated as homogeneous in conventional machining have to be considered as heterogeneous. The cutting force, one of the dominant factors influencing the integrity of the machined surface in UPM, is observed to strongly depend on the grain orientations. To accurately capture the intrinsic features and gain insight into the mechanisms of UPM of single crystals, the crystal plasticity constitutive model has been incorporated into the commercial FE software Marc by coding the user material subroutine Hypela2 available within it. The enhanced capability of the FE software will be adopted to simulate factors influencing the micro-cutting processes, such as grain orientation variation, the tool edge radius and the rake angle. The simulation results will provide useful information for the optimization of critical processing parameters and enhancement of quality of machined products.

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2

Brocks, Wolfgang, Alfred Cornec, and Dirk Steglich. "Two-Scale Finite Element Modelling of Microstructures." Advanced Materials Research 59 (December 2008): 3–17. http://dx.doi.org/10.4028/www.scientific.net/amr.59.3.

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Modelling the constitutive behaviour of metallic materials based on their microstructural features and the micromechanical mechanisms in the framework of continuum mechanics is addressed. Deformation at the lengthscale of grains is described by crystal plasticity. The macroscopic behaviour is obtained either by a homogenisation process yielding phenomenological equations or by a submodel technique. The modelling processes for two light-weight materials, namely magnesium and titanium aluminides are presented.

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3

Li, Hei Jie, Jing Tao Han, Zheng Yi Jiang, Hua Chun Pi, Dong Bin Wei, and A. Kiet Tieu. "Crystal Plasticity Finite Element Modelling of BCC Deformation Texture in Cold Rolling." Advanced Materials Research 32 (February 2008): 251–54. http://dx.doi.org/10.4028/www.scientific.net/amr.32.251.

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Taylor-type and finite element polycrstal models have been embedded into the commercial finite element code ABAQUS to carry out the crystal plasticity finite element modelling of BCC deformation texture based on rate dependent crystal constitutive equations. Initial orientations measured by EBSD were directly used in crystal plasticity finite element model to simulate the development of rolling texture of IF steel under various reductions. The calculated results are in good agreement with the experimental values. The predicted and measured textures tend to sharper with an increase of reduction, and the texture obtained from the Taylor-type model is much stronger than that by finite element model. The rolling textures calculated with 48 {110}<110>, {112}<111> and {123}<111> slip systems are close to the EBSD results.

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4

Bate, Peter. "Modelling deformation microstructure with the crystal plasticity finite–element method." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 357, no. 1756 (June 15, 1999): 1589–601. http://dx.doi.org/10.1098/rsta.1999.0391.

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5

Liu, Mao, Cheng Lu, and Anh Kiet Tieu. "Crystal plasticity finite element method modelling of indentation size effect." International Journal of Solids and Structures 54 (February 2015): 42–49. http://dx.doi.org/10.1016/j.ijsolstr.2014.11.008.

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6

Grilli, Nicolò, Alan C. F. Cocks, and Edmund Tarleton. "Crystal plasticity finite element modelling of coarse-grained α-uranium." Computational Materials Science 171 (January 2020): 109276. http://dx.doi.org/10.1016/j.commatsci.2019.109276.

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7

Sajjad, Hafiz Muhammad, Stefanie Hanke, Sedat Güler, Hamad ul Hassan, Alfons Fischer, and Alexander Hartmaier. "Modelling Cyclic Behaviour of Martensitic Steel with J2 Plasticity and Crystal Plasticity." Materials 12, no. 11 (May 31, 2019): 1767. http://dx.doi.org/10.3390/ma12111767.

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In order to capture the stress-strain response of metallic materials under cyclic loading, it is necessary to consider the cyclic hardening behaviour in the constitutive model. Among different cyclic hardening approaches available in the literature, the Chaboche model proves to be very efficient and convenient to model the kinematic hardening and ratcheting behaviour of materials observed during cyclic loading. The purpose of this study is to determine the material parameters of the Chaboche kinematic hardening material model by using isotropic J2 plasticity and micromechanical crystal plasticity (CP) models as constitutive rules in finite element modelling. As model material, we chose a martensitic steel with a very fine microstructure. Thus, it is possible to compare the quality of description between the simpler J2 plasticity and more complex micromechanical material models. The quality of the results is rated based on the quantitative comparison between experimental and numerical stress-strain hysteresis curves for a rather wide range of loading amplitudes. It is seen that the ratcheting effect is captured well by both approaches. Furthermore, the results show that concerning macroscopic properties, J2 plasticity and CP are equally suited to describe cyclic plasticity. However, J2 plasticity is computationally less expensive whereas CP finite element analysis provides insight into local stresses and plastic strains on the microstructural length scale. With this study, we show that a consistent material description on the microstructural and the macroscopic scale is possible, which will enable future scale-bridging applications, by combining both constitutive rules within one single finite element model.

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8

Hartig, Ch, and H. Mecking. "Crystal Plastic Finite Element Simulation of Fe-Cu Polycrystals." Materials Science Forum 495-497 (September 2005): 1621–26. http://dx.doi.org/10.4028/www.scientific.net/msf.495-497.1621.

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The plastic and elastic deformation of PM two-phase Iron-Copper polycrystals was studied experimentally and modelled by a FEM model calculation, taking into account anisotropic elasticity and crystal plasticity. Following quantities were experimentally measured and calculated by a FEM model calculation: A local strain distribution and rolling textures. For a judgement of model predictions the orientation densities of the bcc a-fibres of Iron and of the fcc b-fibres of Copper were considered. Good predictions of the texture evolution were found in cases only, where local micromechanical interactions are not too much influenced by the heterogeneity of the microstructure. The implications of these results for the development and use of FEM schemes for modelling heterogeneous polycrystal plasticity are discussed.

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9

Qin, Xiaoyu, Guomin Han, Shengxu Xia, Weijie Liu, and De-Ye Lin. "Crystal Plasticity Finite Element Method for Cyclic Behavior of Single Crystal Nickel-Based Superalloy." Journal of Multiscale Modelling 12, no. 01 (February 18, 2021): 2150002. http://dx.doi.org/10.1142/s1756973721500025.

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This paper reports the modeling and simulation of cyclic behavior of single crystal nickel-based superalloy by using the crystal plasticity finite element method. Material constitutive model based on the crystal plasticity theory is developed and is implemented in a parallel way as user subroutine modules embedded in the commercial Abaqus[Formula: see text] software. For simplicity in calibration and without loss of generality, the crystal plasticity constitutive relationship used in this work takes the form that only contains a few parameters. The parameters are optimized by using the Powell algorithm. We employ the calibrated constitutive model with the finite element solver on a cuboid and a blade to simulate cyclic and anisotropic properties of single crystal superalloy. Results show that the predicted stress–strain curves are in good agreement with the experimental measurements, and anisotropic results are presented in both elastic and plastic regions.

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10

Wei, Pei Tang, Cheng Lu, Kiet Tieu, Guan Yu Deng, and Jie Zhang. "Modelling of Texture Evolution in High Pressure Torsion by Crystal Plasticity Finite Element Method." Applied Mechanics and Materials 764-765 (May 2015): 56–60. http://dx.doi.org/10.4028/www.scientific.net/amm.764-765.56.

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In this study, texture evolution during high pressure torsion (HPT) of aluminum single crystal is predicted by the crystal plasticity finite element method (CPFEM) model integrating the crystal plasticity constitutive theory with Bassani & Wu hardening model. It has been found by the simulation that, during the HPT process, the lattice rotates mainly around the radial direction of the sample. With increasing HPT deformation, the initial cube orientation rotates progressively to the rotated cube orientation, and then to the C component of ideal torsion texture which could be remained over a wide strain range. Further HPT deformation leads to the orientation towards to the ideal texture component.

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11

Grilli, Nicolò, Koenraad G. F. Janssens, and Helena Van Swygenhoven. "Crystal plasticity finite element modelling of low cycle fatigue in fcc metals." Journal of the Mechanics and Physics of Solids 84 (November 2015): 424–35. http://dx.doi.org/10.1016/j.jmps.2015.08.007.

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12

Tucker, Joseph C., Albert R. Cerrone, Anthony R. Ingraffea, and Anthony D. Rollett. "Crystal plasticity finite element analysis for René88DT statistical volume element generation." Modelling and Simulation in Materials Science and Engineering 23, no. 3 (February 18, 2015): 035003. http://dx.doi.org/10.1088/0965-0393/23/3/035003.

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13

Chang, Hyung Jun, Heung Nam Han, and Marc Fivel. "Multiscale Modelling of Nanoindentation." Key Engineering Materials 345-346 (August 2007): 925–30. http://dx.doi.org/10.4028/www.scientific.net/kem.345-346.925.

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Nanoindentation is an interesting technique used to probe the local mechanical properties of a material. Although this test has been widely used and developed over the world during the past few years, it remains a lot of uncertainties regarding the interpretation of nanoindentation data. In this study, we propose to simulate the nanoindentation test of FCC single crystals like Cu or Ni using three numerical models. At the lowest scale, molecular dynamics simulations give details of the nucleation of the first dislocations induced by the indentation. At an intermediate scale, discrete dislocation dynamics simulations are performed to study the evolution of the dislocation microstructure during the loading. Finally, at the upper scale, 3D finite element modelling using crystal plasticity constitutive equations give a continuum description of the indentation induced plasticity. It is shown how the different models are interconnected together.

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14

Shao, Yichuan, Tao Tang, Dayong Li, Weiqin Tang, and Yinghong Peng. "Crystal plasticity finite element modelling of the extrusion texture of a magnesium alloy." Modelling and Simulation in Materials Science and Engineering 23, no. 5 (June 16, 2015): 055011. http://dx.doi.org/10.1088/0965-0393/23/5/055011.

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15

Li, Hei Jie, Zheng Yi Jiang, Dong Bin Wei, Yan Bing Du, Jing Tao Han, and A. Kiet Tieu. "Surface Profile Simulation during Plane Strain Compression by Crystal Plasticity Finite Element Method." Advanced Materials Research 76-78 (June 2009): 538–43. http://dx.doi.org/10.4028/www.scientific.net/amr.76-78.538.

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With the technology advancement, crystal plasticity finite element modeling becomes more and more popular in the simulation of metal forming process. In order to obtain a better understanding of the difference between the Taylor model and finite element model during the simulation of metal forming process, an implicit time-integration procedure with the two polycrystal models is applied in the commercial finite element code ABAQUS to simulate the plane strain compression separately. FCC metal is used in this study. The simulation shows that the two polycrystal models both can predict the compression process approximately. The two modelling results of surface roughness show an agreement with that of the experimental results. However, the side profile calculated by the Taylor polycrystal model is much steeper and straighter than that of finite element polycrystal model. The experimental surface roughness curve shows a high frequency fluctuation. It is much steeper than those of the two models. The simulation results also show that the von Mises stress from the Taylor model is much higher than that of the finite element model.

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16

Dini, Daniele, Alexander M. Korsunsky, and Fionn P. E. Dunne. "Diffraction Post-Processor for Polycrystalline Plasticity Modelling." Materials Science Forum 524-525 (September 2006): 427–32. http://dx.doi.org/10.4028/www.scientific.net/msf.524-525.427.

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Microscopic and macroscopic deformation of a polycrystal due to an applied load can be modelled using crystal plasticity implemented within the Finite Element (FE) framework. However, while macroscopic predictions can readily be validated against conventional monotonic and cyclic stress-strain curves, verification at the microscopic level is harder to achieve, since it involves calibrating the predictions for stresses and strains in individual grains, or in grains grouped by certain criteria (e.g., orientation). In this paper an elasto-plastic polycrystal finite element model is introduced, and its calibration is performed at a mesoscopic level via comparison with neutron diffraction data obtained experimentally. Time-of-flight (TOF) neutron diffraction experiments carried out on ENGIN-X instrument at ISIS involved in situ loading of samples of C263 nickel-based superalloy. In order to compare the numerical predictions of the FE model with these experimental data, the corresponding mesoscale average elastic strains must be extracted from the results of the simulation by employing a ‘diffraction post-processor’. This provides a much improved technique for the calibration of FE formulation and enhances the confidence in the model. The FE diffraction post-processing procedures are discussed in detail, and comparison between the model predictions and experimental data are presented.

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17

Izadbakhsh, Adel, Kaan Inal, and Raja K. Mishra. "Crystal plasticity based finite element modelling of large strain deformation in AM30 magnesium alloy." Modelling and Simulation in Materials Science and Engineering 20, no. 3 (March 20, 2012): 035016. http://dx.doi.org/10.1088/0965-0393/20/3/035016.

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18

Xu, Y., D. S. Balint, and D. Dini. "A method of coupling discrete dislocation plasticity to the crystal plasticity finite element method." Modelling and Simulation in Materials Science and Engineering 24, no. 4 (March 24, 2016): 045007. http://dx.doi.org/10.1088/0965-0393/24/4/045007.

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19

POTIRNICHE, G. "Finite element modeling of microstructurally small cracks using single crystal plasticity." International Journal of Fatigue 25, no. 9-11 (September 2003): 877–84. http://dx.doi.org/10.1016/s0142-1123(03)00124-5.

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20

Liu, Mao, Anh Kiet Tieu, Ching-Tun Peng, and Kun Zhou. "Explore the anisotropic indentation pile-up patterns of single-crystal coppers by crystal plasticity finite element modelling." Materials Letters 161 (December 2015): 227–30. http://dx.doi.org/10.1016/j.matlet.2015.08.093.

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21

Khadyko, Mikhail, Bjørn Håkon Frodal, and Odd Sture Hopperstad. "Finite element simulation of ductile fracture in polycrystalline materials using a regularized porous crystal plasticity model." International Journal of Fracture 228, no. 1 (February 18, 2021): 15–31. http://dx.doi.org/10.1007/s10704-020-00503-w.

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AbstractIn the present study, a hypoelastic–plastic formulation of porous crystal plasticity with a regularized version of Schmid’s law is proposed. The equation describing the effect of the voids on plasticity is modified to allow for an explicit analytical solution for the effective resolved shear stress. The regularized porous crystal plasticity model is implemented as a material model in a finite element code using the cutting plane algorithm. Fracture is described by element erosion at a critical porosity. The proposed model is used for two test cases of two- and three-dimensional polycrystals deformed in tension until full fracture is achieved. The simulations demonstrate the capability of the proposed model to account for the interaction between different modes of strain localization, such as shear bands and necking, and the initiation and propagation of ductile fracture in large scale polycrystal models with detailed grain description and realistic boundary conditions.

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22

Luan, Qinmeng, Junyi Lee, Zebang Zheng, Jianguo Lin, and Jun Jiang. "Static recrystallization study on pure aluminium using crystal plasticity finite element and phase-field modelling." Procedia Manufacturing 15 (2018): 1800–1807. http://dx.doi.org/10.1016/j.promfg.2018.07.211.

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23

Ogosi, E. I., U. B. Asim, M. A. Siddiq, and M. E. Kartal. "Modelling Hydrogen Induced Stress Corrosion Cracking in Austenitic Stainless Steel." Journal of Mechanics 36, no. 2 (February 21, 2020): 213–22. http://dx.doi.org/10.1017/jmech.2019.60.

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ABSTRACTA model has been developed which simulates the deformation of single crystal austenitic stainless steels and captures the effects of hydrogen on stress corrosion cracking. The model is based on the crystal plasticity theory which relates critical resolved shear stress to plastic strain and the strength of the crystal. We propose an analytical representation of hydrogen interactions with the material microstructure during deformation and simulate the effects hydrogen will have on void growth prior to fracture. Changes in the mechanical properties of the crystal prior to fracture are governed by the interaction of hydrogen atoms and ensembles of dislocations as the crystal plastically deforms and is based on the hydrogen enhanced localised plasticity (HELP) mechanism. The effects of hydrogen on void growth are considered by analysing the effect of hydrogen on the mechanical property of material bounding an embedded void. The model presented has been implemented numerically using the User Material (UMAT) subroutine in the finite element software (ABAQUS) and has been validated by comparing simulated results with experimental data. Influencing parameters have been varied to understand their effect and test sensitivities.

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24

Liu, Mao, Kiet Anh Tieu, Kun Zhou, and Ching-Tun Peng. "Indentation analysis of mechanical behaviour of torsion-processed single-crystal copper by crystal plasticity finite-element method modelling." Philosophical Magazine 96, no. 3 (January 12, 2016): 261–73. http://dx.doi.org/10.1080/14786435.2015.1128127.

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25

Lu, Jiawa, Wei Sun, and Adib Becker. "Material characterisation and finite element modelling of cyclic plasticity behaviour for 304 stainless steel using a crystal plasticity model." International Journal of Mechanical Sciences 105 (January 2016): 315–29. http://dx.doi.org/10.1016/j.ijmecsci.2015.11.024.

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26

Li, Hei Jie, Zheng Yi Jiang, Dong Bin Wei, Jing Tao Han, and A. Kiet Tieu. "Crystal Plasticity Finite Element Modelling of the Influence of Friction on Surface Roughening during Uniaxial Planar Compression." Materials Science Forum 654-656 (June 2010): 1606–9. http://dx.doi.org/10.4028/www.scientific.net/msf.654-656.1606.

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The friction is a key factor that influences the surface quality in metal forming. To figure out the relationship between the friction and the surface roughening, a finite element model is employed in the commercial finite element software ABAQUS to simulate the surface roughness of top side of Al plate during uniaxial planar compression. With the change of friction conditions, the surface roughening varies. The average surface roughness (Ra) shows a relationship with the friction coefficient. During the surface roughening process, the grain slip takes place in the “soft orientation”, and the “hard orientations” become the barrier of the slip.

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27

Resk, H., L. Delannay, M. Bernacki, T. Coupez, and R. Logé. "Adaptive mesh refinement and automatic remeshing in crystal plasticity finite element simulations." Modelling and Simulation in Materials Science and Engineering 17, no. 7 (August 14, 2009): 075012. http://dx.doi.org/10.1088/0965-0393/17/7/075012.

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28

Koga, Tomoaki, and Yuichi Tadano. "Forming Limit Analysis of Hexagonal Metal Considering Volume Fraction of Deformation Twinning." Key Engineering Materials 794 (February 2019): 226–31. http://dx.doi.org/10.4028/www.scientific.net/kem.794.226.

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In the plastic deformation of hexagonal metals, deformation twinning plays an important role as well as slip deformation. Therefore, a modelling of deformation twinning is essential in the crystal plasticity modeling. In this study, a model considering the volume fraction of deformation twinning is presented in the framework of crystal plasticity, and it is combined with a finite element-based homogenization scheme to represent the polycrystalline behavior. The presented model is adopted to a sheet necking formulation. Plastic flow behaviors under several strain paths are evaluated using the present framework, and the effect of volume fraction of deformation twinning on the formability of hexagonal metal is discussed.

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29

Lan, Yong Jun, and C. Pinna. "Modelling Static Recrystallisation Textures Using a Coupled Crystal Plasticity-Phase Field Technique." Materials Science Forum 702-703 (December 2011): 663–66. http://dx.doi.org/10.4028/www.scientific.net/msf.702-703.663.

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An integrated crystal plasticity-phase field model has been developed to simulate the static recrystallisation textures of both Face-Centred Cubic (FCC) and Body-Centred Cubic (BCC) metals. Nucleation sites are determined using the Orientation Dependent Recovery (ODR) theory. Both the interface mobility and the grain boundary energy are set to be dependent on mis-orientation angles in the simulations. A pre-deformed microstructure without a particular texture is generated using a Monte Carlo simulation. Plane strain compression textures before recrystallisation are predicted by a Crystal Plasticity Finite Element (CPFE) model showing a good agreement with the typical experimental rolling textures. It is shown that the typical recrystallisation textures for FCC and BCC metals can be simulated correctly using a Phase Field (PF) method by choosing appropriate critical values for the nucleation criterion. A comparison between the two different nucleation criteria based on the ODR theory or the stored energy is also presented.

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30

Geng, Yaoyi, and Noel Harrison. "Functionally graded bimodal Ti6Al4V fabricated by powder bed fusion additive manufacturing: Crystal plasticity finite element modelling." Materials Science and Engineering: A 773 (January 2020): 138736. http://dx.doi.org/10.1016/j.msea.2019.138736.

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31

JI, Hansong, Qinghua SONG, Munish Kumar GUPTA, Wentong CAI, Youle ZHAO, and Zhanqiang LIU. "Grain scale modelling and parameter calibration methods in crystal plasticity finite element researches: a short review." Journal of Advanced Manufacturing Science and Technology 1, no. 2 (2021): 2021005. http://dx.doi.org/10.51393/j.jamst.2021005.

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32

da Fonseca, Joao Quinta, and Pete S. Bate. "Evolution of Internal Stresses during the Plastic Deformation of IF Steel and Their Correlation with Crystal Orientation." Materials Science Forum 495-497 (September 2005): 1055–60. http://dx.doi.org/10.4028/www.scientific.net/msf.495-497.1055.

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Due to their polycrystalline nature, metals develop intergranular stresses during elastic and inelastic deformation. These stresses are thought to play a role in the fatigue properties of metals and to significantly affect residual stress measurements. The development of intergranular stresses during deformation of interstial free steel was modelled using crystal plasticity finite element modelling. Predictions were compared with measurements made using fast synchrotron diffraction and good qualitative agreement was found. Effects of mesh size and shape, element packing and neighbourhood on the predicted mean elastic strains and their variance were investigated.

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33

Guo, He-Jie, and Dong-Feng Li. "Crystal plasticity-based micromechanical finite element modelling of ductile void growth for an aluminium alloy under multiaxial loading conditions." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 233, no. 1 (October 14, 2018): 52–62. http://dx.doi.org/10.1177/1464420718805828.

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This work proposes a crystal plasticity-based micromechanical finite element model to account for the inelastic crystallographic slip in an aluminium alloy and its effect on the development of micro-voids. Three-dimensional unit cell with periodic boundary conditions is used to represent the porous single crystal, which is subject to multiaxial external loads with constant stress triaxiality. The effects of stress triaxiality and crystallographic orientation on the ductile failure response for the porous single crystal are then quantified. Through the Taylor–Reuss mean field homogenisation, the stress–strain responses for porous polycrystal under multiaxial stress states are also investigated and compared with the conventional modelling results. The present work indicates that void coalescence strain at single crystal level strongly depends on the crystallographic orientation, particularly when stress triaxiality is low, and the overall stress–strain response of porous polycrystal can be affected by the crystallographic slip-based micro-void growth and polycrystallinity of the material.

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34

Lan, Yong Jun, and C. Pinna. "Modelling the Static Recrystallisation Texture of FCC Metals Using a Phase Field Method." Materials Science Forum 715-716 (April 2012): 739–44. http://dx.doi.org/10.4028/www.scientific.net/msf.715-716.739.

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A three dimensional phase field model has been developed to simulate the texture formed during the static recrystallisation of FCC metals with medium or high stacking fault energy, such as aluminium, copper and nickel. Before recrystallisation the deformation texture as well as the stored energy was simulated using a three dimensional crystal plasticity finite element model. This output calculated on the distorted finite element mesh was first mapped onto the regular grid of the phase field model using a linear interpolation method and then used as initial condition for the subsequent recrystallisation texture modelling. This model has successfully predicted the typical recrystallisation texture components: cube {001}<100>, R {124}<211> in the aluminium alloy. In addition, the softening fraction and three dimensional microstructure produced during static recrystallisation have also been simulated by this model.

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35

Vattré, A., B. Devincre, F. Feyel, R. Gatti, S. Groh, O. Jamond, and A. Roos. "Modelling crystal plasticity by 3D dislocation dynamics and the finite element method: The Discrete-Continuous Model revisited." Journal of the Mechanics and Physics of Solids 63 (February 2014): 491–505. http://dx.doi.org/10.1016/j.jmps.2013.07.003.

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36

Liu, B., D. Raabe, F. Roters, P. Eisenlohr, and R. A. Lebensohn. "Comparison of finite element and fast Fourier transform crystal plasticity solvers for texture prediction." Modelling and Simulation in Materials Science and Engineering 18, no. 8 (October 27, 2010): 085005. http://dx.doi.org/10.1088/0965-0393/18/8/085005.

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37

Dumoulin, S., O. Engler, O. S. Hopperstad, and O. G. Lademo. "Description of plastic anisotropy in AA6063-T6 using the crystal plasticity finite element method." Modelling and Simulation in Materials Science and Engineering 20, no. 5 (June 21, 2012): 055008. http://dx.doi.org/10.1088/0965-0393/20/5/055008.

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38

Yihan, Luan, Meng Xiangyue, Xue Liang, Steven Y. Liang, and Lu Xiaohong. "Simulation of a micro-milling single crystal copper process based on crystal plastic constitutive theory." SIMULATION 96, no. 12 (July 9, 2020): 957–68. http://dx.doi.org/10.1177/0037549720937051.

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The anisotropy of single crystal copper and crystal orientation have a significant effect on the micro-milling process. At present, there is no systematic and perfect theory to explain the influence of single crystal orientation on the micro-milling process. Therefore, it is urgent to conduct an in-depth study on the micro-milling process of single crystal copper. In this paper, based on the theory of crystal plasticity, considering the anisotropy of single crystal copper, the VUMAT material subroutine of single crystal copper is programmed by the Fortran language, and the crystal plastic constitution is introduced into the finite element simulation. The model of the micro-milling tool and work-piece is established and meshed. Considering the friction among the tool and the work-piece, material removal, etc., the three-dimensional finite element simulation model of single crystal copper micro-milling process is achieved by ABAQUS software. The validity of the simulation model of the micro-milling process of single crystal copper considering the single crystal plastic constitution is verified by experimental micro-milling forces. The research has explored a feasible way to predict the micro-milling force of single crystal copper, and has provided a reference for revealing the micro-milling mechanism of single crystal materials.

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39

Phan, Van-Tung, Thê-Duong Nguyen, Quang-Hien Bui, and Guy Dirras. "Modelling of microstructural effects on the mechanical behavior of ultrafine-grained Nickel using crystal plasticity finite element model." International Journal of Engineering Science 94 (September 2015): 212–25. http://dx.doi.org/10.1016/j.ijengsci.2015.03.008.

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40

Sun, Fujia, Ping Liu, and Wencheng Liu. "Multi-level deep drawing simulations of AA3104 aluminium alloy using crystal plasticity finite element modelling and phenomenological yield function." Advances in Mechanical Engineering 13, no. 3 (March 2021): 168781402110012. http://dx.doi.org/10.1177/16878140211001203.

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This paper proposed a hierarchical multi-level model to study the crystallographic texture induced mechanical anisotropy of AA3104-H19 aluminium sheet from mesoscale to continuum scale. In the mesoscale, full-field crystal plasticity finite element method (CPFEM) was used to provide both in-plane and out-of-plane yield stresses and plastic potential points in various deformation modes. In the continuum scale, these materials sampling points were used to determine the parameters of two phenomenological yield functions (Yld2000-2d in plane stress space and Yld2004-18p in 3D stress space) using associated flow rule (AFR) and non-associated flow rule (non-AFR). The results indicate that higher accuracy obtained by Yld2000-2d and Yld2004-18p yield functions associated with non-AFR in comparison with AFR. These phenomenological models were successfully implemented into finite element (FE) code using an explicit integration scheme to simulate sheet metal forming. It is found that the 3D Yld2004-18p model involved with both in-plane and out-of-plane anisotropies is superior to 2D Yld2000-2d model which only accounts for in-plane anisotropy.

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41

Song, Xu, Shu Yan Zhang, Daniele Dini, and Alexander M. Korsunsky. "Inter-Granular Residual Stresses in Polycrystalline Aggregates: Finite Element Modelling and Diffraction Post-Processing." Materials Science Forum 571-572 (March 2008): 271–76. http://dx.doi.org/10.4028/www.scientific.net/msf.571-572.271.

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Most models based on continuum mechanics do not account for inhomogeneities at the micro-scale. This can be achieved by considering a representative volume of material and using (poly)crystal elasto-plastic deformation theory to model the effects of grain morphology and crystallographic orientation. In this way, the relationship between the macroscopic stress state and the stress state at the grain level can be investigated in detail. In addition, this approach enables the determination of the inhomogeneous fields of plastic strain, the identification of regions of localised plasticity (persistent slip bands), grain level shakedown, and the prediction of fatigue crack initiation using energy dissipation at the micro-scale. Elastic anisotropy is known to promote earlier onset of yielding, and to increase the magnitude of intergranular residual stresses. The effect of hardening behaviour of different slip systems on intergranular residual stresses is more subtle, as discussed in the text. The present study focuses on the analysis average intergranular residual strains and stresses that arise within the polycrystal aggregate following the application of single or cyclic external loading. These residual strains can also be evaluated experimentally using diffraction of penetrating radiation, e.g. neutrons or high energy X-rays, allowing comparisons with the model predictions to be made.

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Huynh, Nam N., Cheng Lu, Guillaume Michal, and A. Kiet Tieu. "A Misorientation Dependent Criterion of Crack Opening in FCC Single Crystal." Materials Science Forum 773-774 (November 2013): 293–311. http://dx.doi.org/10.4028/www.scientific.net/msf.773-774.293.

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This paper proposes a criterion for crack opening in FCC single crystals based on analyses of lattice orientation and interface energy of two adjacent crystals in a crystal plasticity finite element model (CPFEM). It also demonstrates the implementation of the criterion in Abaqus/Standard to simulate crack initiation and propagation in single-edged notch single crystal aluminium samples. Elements in the FEM mesh that have crystalline structures satisfying the crack opening criterion are removed from the mesh at the end of every loading step and FEM analyses are restarted on the new mesh in the next loading step. Removed elements effectively act as voids in the material due to crack nucleation. Similarly, the coalescence of newly removed elements at the end of a loading step with the existent ones simulates crack growth in the material. Two advantages of this approach are noted. Firstly, crack nucleation and its subsequent growth in the material is simulated solely based on lattice evolution history in the material without any presumptions of crack paths or regions where cracks are likely to occur. Secondly, as the criterion for crack nucleation is evaluated based on, and thus changes with, the lattice evolution during loading, a predefined energy criterion for crack opening, which could be erroneous, is avoided. Preliminary results of void nucleation and void growth around the notch tip in Cube and Brass oriented samples using CPFEM modelling appear to agree with molecular dynamics simulations of void growth in FCC single crystals.

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Zhang, Lu, Liguo Zhao, Rong Jiang, and Chris Bullough. "Crystal plasticity finite‐element modelling of cyclic deformation and crack initiation in a nickel‐based single‐crystal superalloy under low‐cycle fatigue." Fatigue & Fracture of Engineering Materials & Structures 43, no. 8 (April 13, 2020): 1769–83. http://dx.doi.org/10.1111/ffe.13228.

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Britton, T. B., H. Liang, F. P. E. Dunne, and A. J. Wilkinson. "The effect of crystal orientation on the indentation response of commercially pure titanium: experiments and simulations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2115 (November 11, 2009): 695–719. http://dx.doi.org/10.1098/rspa.2009.0455.

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This study combines nanoindentation, electron backscatter diffraction (EBSD) and crystal plasticity finite element analysis to examine the anisotropy in the indentation behaviour of individual grains within an α-Ti polycrystal. Nanoindentation is utilized to mechanically probe small volumes of material within grains for which orientations are known from prior EBSD mapping. Both indentation modulus and hardness decrease significantly as the indentation axis is inclined further from the c -axis; the plastic response showing the more marked anisotropy. Recently developed high angular resolution EBSD has been utilized to examine selected indents, providing maps of elastic strain variations and lattice rotations. From such maps lower bound solutions for the density of geometrically necessary dislocations (GNDs) have been established. Crystal plasticity modelling showed promise in capturing correctly the orientation dependence of load–displacement response and in lattice rotations local to the indenter, particularly for indentation into a basal plane which generated threefold rotational symmetry about an axis parallel with the indentation direction which was also observed in experiments.

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Sadeghirad, Alireza, Kasra Momeni, Yanzhou Ji, Xiang Ren, Long-Qing Chen, and Jim Lua. "Multiscale crystal-plasticity phase field and extended finite element methods for fatigue crack initiation and propagation modeling." International Journal of Fracture 216, no. 1 (February 4, 2019): 41–57. http://dx.doi.org/10.1007/s10704-018-00339-5.

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Li, Hejie, Andreas Öchsner, Dongbin Wei, Guowei Ni, and Zhengyi Jiang. "Crystal plasticity finite element modelling of the effect of friction on surface asperity flattening in cold uniaxial planar compression." Applied Surface Science 359 (December 2015): 236–44. http://dx.doi.org/10.1016/j.apsusc.2015.10.043.

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47

Zhang, Tiantian, Jun Jiang, Ben Britton, Barbara Shollock, and Fionn Dunne. "Crack nucleation using combined crystal plasticity modelling, high-resolution digital image correlation and high-resolution electron backscatter diffraction in a superalloy containing non-metallic inclusions under fatigue." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2189 (May 2016): 20150792. http://dx.doi.org/10.1098/rspa.2015.0792.

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A crystal plasticity finite-element model, which explicitly and directly represents the complex microstructures of a non-metallic agglomerate inclusion within polycrystal nickel alloy, has been developed to study the mechanistic basis of fatigue crack nucleation. The methodology is to use the crystal plasticity model in conjunction with direct measurement at the microscale using high (angular) resolution-electron backscatter diffraction (HR-EBSD) and high (spatial) resolution-digital image correlation (HR-DIC) strain measurement techniques. Experimentally, this sample has been subjected to heat treatment leading to the establishment of residual (elastic) strains local to the agglomerate and subsequently loaded under conditions of low cyclic fatigue. The full thermal and mechanical loading history was reproduced within the model. HR-EBSD and HR-DIC elastic and total strain measurements demonstrate qualitative and quantitative agreement with crystal plasticity results. Crack nucleation by interfacial decohesion at the nickel matrix/agglomerate inclusion boundaries is observed experimentally, and systematic modelling studies enable the mechanistic basis of the nucleation to be established. A number of fatigue crack nucleation indicators are also assessed against the experimental results. Decohesion was found to be driven by interface tensile normal stress alone, and the interfacial strength was determined to be in the range of 1270–1480 MPa.

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SONG, XU, SHU YAN ZHANG, and ALEXANDER M. KORSUNSKY. "STRAIN GRADIENT POLYCRYSTAL PLASTICITY ANALYSIS: FE MODELING AND SYNCHROTRON X-RAY DIFFRACTION." International Journal of Modern Physics B 24, no. 01n02 (January 20, 2010): 10–17. http://dx.doi.org/10.1142/s0217979210063922.

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The results of a strain gradient finite element model of polycrystalline plastic deformation in an HCP alloy were analysed in terms of orientation-related meso-scale grain groups. The predictions for meso-scale elastic strains were post-processed to construct energy dispersive diffraction peak patterns. Synchrotron X-ray polycrystalline diffraction was thereafter employed to record experimentally multiple peaks from deformed samples of Ti -6 Al -4 V alloy. Model parameters were adjusted to provide the best simultaneous match to multiple peaks in terms of intensity, position and shape. The framework provides a rigorous means of validating polycrystal plasticity finite element model. The study represents an example of the parallel development of modelling and experimental tools that is useful for the study of statistically stored dislocations (SSDs) and geometrically necessary dislocations (GNDs) effects on the deformation behaviour of (poly)crystals.

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de Bortoli, Daniel, Fauzan Adziman, Eduardo A. de Souza Neto, and Francisco M. Andrade Pires. "Constitutive modelling of mechanically induced martensitic transformations." Engineering Computations 35, no. 2 (April 16, 2018): 772–99. http://dx.doi.org/10.1108/ec-03-2017-0087.

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Purpose The purpose of this work is to apply a recently proposed constitutive model for mechanically induced martensitic transformations to the prediction of transformation loci. Additionally, this study aims to elucidate if a stress-assisted criterion can account for transformations in the so-called strain-induced regime. Design/methodology/approach The model is derived by generalising the stress-based criterion of Patel and Cohen (1953), relying on lattice information obtained using the Phenomenological Theory of Martensite Crystallography. Transformation multipliers (cf. plastic multipliers) are introduced, from which the martensite volume fraction evolution ensues. The associated transformation functions provide a variant selection mechanism. Austenite plasticity follows a classical single crystal formulation, to account for transformations in the strain-induced regime. The resulting model is incorporated into a fully implicit RVE-based computational homogenisation finite element code. Findings Results show good agreement with experimental data for a meta-stable austenitic stainless steel. In particular, the transformation locus is well reproduced, even in a material with considerable slip plasticity at the martensite onset, corroborating the hypothesis that an energy-based criterion can account for transformations in both stress-assisted and strain-induced regimes. Originality/value A recently developed constitutive model for mechanically induced martensitic transformations is further assessed and validated. Its formulation is fundamentally based on a physical metallurgical mechanism and derived in a thermodynamically consistent way, inheriting a consistent mechanical dissipation. This model draws on a reduced number of phenomenological elements and is a step towards the fully predictive modelling of materials that exhibit such phenomena.

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Cheng, Jiahao, Ryan Lane, Michael S. Kesler, Jamieson Brechtl, Xiaohua Hu, Reza Mirzaeifar, Orlando Rios, Ayyoub M. Momen, and Kashif Nawaz. "Experiment and non-local crystal plasticity finite element study of nanoindentation on Al-8Ce-10Mg alloy." International Journal of Solids and Structures 233 (December 2021): 111233. http://dx.doi.org/10.1016/j.ijsolstr.2021.111233.

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