Modelling of texture evolution in metals accounting for lattice reorientation due to twinning

Kowalczyk-Gajewska, K.

doi:10.1016/j.euromechsol.2009.07.002

Cited by 18 publications

(10 citation statements)

References 55 publications

(145 reference statements)

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“…Within the approach, the probabilistic twin volume consistent scheme [50] was used to account for appearance of twin-related orientations. The simulations of texture evolution and grain refinement in CP Ti subjected to cold rolling were performed.…”

Section: Discussionmentioning

confidence: 99%

“…The original 3SCP model is extended to account for twinning by assuming relevant formulation of crystal plasticity theory at the lowest level of microstructure (i.e., subgrain level) and adopting the PTVC scheme for twin-related reorientation. The PTVC scheme [50] accounts for lattice reorientation due to twinning. It preserves consistency of the reorientation probability with the current twin volume fraction in the grain, which results from twinning activity.…”

Section: Model Of Grain Refinementmentioning

confidence: 99%

See 1 more Smart Citation

Microstructure Evolution in Cold-Rolled Pure Titanium: Modeling by the Three-Scale Crystal Plasticity Approach Accounting for Twinning

Frydrych

Kowalczyk-Gajewska

2018

Metall Mater Trans A

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A three-scale crystal plasticity model is applied to simulate microstructure evolution in hcp titanium subjected to cold rolling. Crystallographic texture and misorientation angle development, as an indicator of grain refinement, are studied. The impact of twinning activity on both phenomena is accounted for by combining the original three-scale formulation with the probabilistic twin-volume consistent (PTVC) reorientation scheme. The modeling results are compared with available experimental data. It is shown that the simulated textures are in accordance with the experimental measurements. The basic components of misorientation angle distribution, especially in the range of high angle boundaries, are also well reproduced.

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Section: Discussionmentioning

confidence: 99%

Section: Model Of Grain Refinementmentioning

confidence: 99%

Microstructure Evolution in Cold-Rolled Pure Titanium: Modeling by the Three-Scale Crystal Plasticity Approach Accounting for Twinning

Frydrych

Kowalczyk-Gajewska

2018

Metall Mater Trans A

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“…The first model that was able to describe twinning deformation of the individual single crystals was developed by Kalidindi (1998), and other similar models have been developed afterwards (Staroselsky and Anand, 2003;Kowalczyk-Gajewska, 2010;Abdolvand and Daymond, 2013a,b;Chang and Kochmann, 2015;Mareau and Daymond, 2016). Kalidindi's model has been extensively used (Zhang and Joshi, 2012;Herrera-Solaz et al, 2014b,a;Hidalgo-Manrique et al, 2015;Khan et al, 2016;J.Jung et al, 2017), and will be briefly described here.…”

Section: Deformation By Twinningmentioning

confidence: 99%

Computational Homogenization of Polycrystals

Segurado

Lebensohn

LLorca

2018

Advances in Applied Mechanics

108

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This paper reviews the current state-of-the-art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modelling strategy are presented in detail starting with the parameters needed to describe polycrystalline microstructures and the digital representation of such microstructures in a suitable format to perform computational homogenization. The different crystal plasticity frameworks that can describe the physical mechanisms of deformation in single crystals (dislocation slip and twinning) at the microscopic level are presented next. This is followed by the description of computational homogenization methods based on mean-field approximations by means of the viscoplastic self-consistent approach, or on the full-field simulation of the mechanical response of a representative polycrystalline volume element by means of the finite element method or the fast Fourier transform-based method. Multiscale frameworks based on the combination of mean-field homogenization and the finite element method are presented next to model the plastic deformation of polycrystalline specimens of arbitrary geometry under complex mechanical loading. Examples of application to predict the strength, fatigue life, damage, and texture evolution under different conditions are presented to illustrate the capabilities of the different models. Finally, current challenges and future research directions in this field are summarized.

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“…[ 54 , 55 ]. Thus, several authors introduced formulations to account for this source of Hall–Petch type strengthening as function of twinned volume fraction [ 27 , 52 , 56 ]. Based on the formulation from [ 27 ], we introduce the following relation for the corresponding term

with

being a coefficient for hardening of slip system

due to twinning on non-coplanar system

.…”

Section: Modelingmentioning

confidence: 99%

“…While capturing selected micromechanical effects like, e.g., the plastic anisotropy of polysynthetically twinned crystals, the micromechanical models set up in the past (e.g., [ 13 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ]) are limited to isothermal conditions and/or temperatures near room temperature. Furthermore, the model parameters in these formulations are generally found for one specific combination of temperature and microstructural lengths, necessitating recalibration of the model whenever the mechanical behavior shall be analyzed at different temperatures or for a different set of microstructural parameters.…”

Section: Introductionmentioning

confidence: 99%

Accessing Colony Boundary Strengthening of Fully Lamellar TiAl Alloys via Micromechanical Modeling

Schnabel

Bargmann

2017

Materials

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In this article, we present a strategy to decouple the relative influences of colony, domain and lamella boundary strengthening in fully lamellar titanium aluminide alloys, using a physics-based crystal plasticity modeling strategy. While lamella and domain boundary strengthening can be isolated in experiments using polysynthetically twinned crystals or mircomechanical testing, colony boundary strengthening can only be investigated in specimens in which all three strengthening mechanisms act simultaneously. Thus, isolating the colony boundary strengthening Hall–Petch coefficient KC experimentally requires a sufficient number of specimens with different colony sizes λC but constant lamella thickness λL and domain size λD, difficult to produce even with sophisticated alloying techniques. The here presented crystal plasticity model enables identification of the colony boundary strengthening coefficient KC as a function of lamella thickness λL. The constitutive description is based on the model of a polysynthetically twinned crystal which is adopted to a representative volume element of a fully lamellar microstructure. In order to capture the micro yield and subsequent micro hardening in weakly oriented colonies prior to macroscopic yield, the hardening relations of the adopted model are revised and calibrated against experiments with polysynthetically twinned crystals for plastic strains up to 15%.

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Modelling of texture evolution in metals accounting for lattice reorientation due to twinning

Cited by 18 publications

References 55 publications

Microstructure Evolution in Cold-Rolled Pure Titanium: Modeling by the Three-Scale Crystal Plasticity Approach Accounting for Twinning

Microstructure Evolution in Cold-Rolled Pure Titanium: Modeling by the Three-Scale Crystal Plasticity Approach Accounting for Twinning

Computational Homogenization of Polycrystals

Accessing Colony Boundary Strengthening of Fully Lamellar TiAl Alloys via Micromechanical Modeling

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