Single crystal plasticity with bend–twist modes

Elkhodary, Khalil I.; Bakr, Mohamed

doi:10.1016/j.jmps.2015.03.005

Cited by 6 publications

(3 citation statements)

References 70 publications

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“…The confidence in simulating the plastic deformation of a specific material using FE mainly relies upon the reliability and accuracy of the constitutive relations to describe the behaviour of this material, particularly when the material exhibits anisotropic behaviour [17][18][19]. Thus, several constitutive models were developed and proposed over the last few years to predict the flow behaviour of various metallic materials at elevated temperatures.…”

Section: Introductionmentioning

confidence: 99%

Modelling the Flow Behaviour of Al Alloy Sheets at Elevated Temperatures Using a Modified Zerilli–Armstrong Model and Phenomenological-Based Constitutive Models

Abd El-Aty,

Xu,

Hou

et al. 2024

Materials

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The flow behaviour of AA2060 Al alloy under warm/hot deformation conditions is complicated because of its dependency on strain rates (ε˙), strain (ε), and deformation modes. Thus, it is crucial to reveal and predict the flow behaviours of this alloy at a wide range of temperatures (T) and ε˙ using different constitutive models. Firstly, the isothermal tensile tests were carried out via a Gleeble-3800 thermomechanical simulator at a T range of 100, 200, 300, 400, and 500 °C and ε˙ range of 0.01, 0.1, 1, and 10 s−1 to reveal the warm/hot flow behaviours of AA2060 alloy sheet. Consequently, three phenomenological-based constitutive models (L-MJC, S1-MJC, S2-MJC) and a modified Zerilli–Armstrong (MZA) model representing physically based constitutive models were developed to precisely predict the flow behaviour of AA2060 alloy sheet under a wide range of T and ε˙. The predictability of the developed constitutive models was assessed and compared using various statistical parameters, including the correlation coefficient (R), average absolute relative error (AARE), and root mean square error (RMSE). By comparing the results determined from these models and those obtained from experimentations, and confirmed by R, AARE, and RMSE values, it is concluded that the predicted stresses determined from the S2-MJC model align closely with the experimental stresses, demonstrating a remarkable fit compared to the S1-MJC, L-MJC, and MZA models. This is because of the linking impact between softening, the strain rate, and strain hardening in the S2-MJC model. It is widely known that the dislocation process is affected by softening and strain rates. This is attributed to the interactions that occurred between ε and ε˙ from one side and between ε, ε˙, and T from the other side using an extensive set of constants correlating the constitutive components of dynamic recovery and softening mechanisms.

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Section: Introductionmentioning

confidence: 99%

Modelling the Flow Behaviour of Al Alloy Sheets at Elevated Temperatures Using a Modified Zerilli–Armstrong Model and Phenomenological-Based Constitutive Models

Abd El-Aty,

Xu,

Hou

et al. 2024

Materials

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“…Dynamic softening mechanisms, such as DRV, usually appear in Al and Al-Li alloys with high stacking-fault (SFE) during warm and hot deformation [28]. Elkhodary et al [29], Pandey et al [30], Abedrabbo et al [31], Clayton et al [32], and Lin et al [21] reported that the mechanisms that contribute to softening and recovery during deformation at high temperatures are susceptible to strain rate and temperature. Thus, predicting the warm deformation behaviours of AA2060-T8 sheets is meaningful for describing their mechanical responses at several working conditions.…”

Section: Introductionmentioning

confidence: 99%

Coupling Computational Homogenization with Crystal Plasticity Modelling for Predicting the Warm Deformation Behaviour of AA2060-T8 Al-Li Alloy

El-Aty

et al. 2023

Materials

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This study aimed to propose a new approach for predicting the warm deformation behaviour of AA2060-T8 sheets by coupling computational homogenization (CH) with crystal plasticity (CP) modeling. Firstly, to reveal the warm deformation behaviour of the AA2060-T8 sheet, isothermal warm tensile testing was accomplished using a Gleeble-3800 thermomechanical simulator at the temperatures and strain rates that varied from 373 to 573 K and 0.001 to 0.1 s−1. Then, a novel crystal plasticity model was proposed for describing the grains’ behaviour and reflecting the crystals’ actual deformation mechanism under warm forming conditions. Afterward, to clarify the in-grain deformation and link the mechanical behaviour of AA2060-T8 with its microstructural state, RVE elements were created to represent the microstructure of AA2060-T8, where several finite elements discretized every grain. A remarkable accordance was observed between the predicted results and their experimental counterparts for all testing conditions. This signifies that coupling CH with CP modelling can successfully determine the warm deformation behaviour of AA2060-T8 (polycrystalline metals) under different working conditions.

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“…The collectives of crystal plasticity with the finite element method (CPFEM) and Taylor polycrystal analysis have proven a very powerful tool for the investigation of such plastic phenomena as the Bauschinger effect (Kim et al, 2012), formability (Wu et al, 1997;Inal et al, 2005;Mohammadi et al, 2014), cyclic loading (Muhammad et al, 2015;Grilli et al, 2015), surface effects (Rossiter et al, 2013), texture evolution (Popova et al, 2015;Knezevic et al, 2013) and high rate deformation (Clayton, 2005), to list a few. However, little physical information is directly involved in the wellestablished crystal plasticity hardening models as most hardening laws are empirical fits, or require complex and computationally expensive calculations of strain gradients to predict dislocation contents (Gerken & Dawson, 2008;Elkhodary & Bakr, 2015). Phenomenological models are satisfactory for the intended use of room temperature deformation, but are typically only able to predict material response up to the specimen failure strains.…”

Section: Introductionmentioning

confidence: 99%

A new crystal plasticity framework to simulate the large strain behaviour of aluminum alloys at warm temperatures

Cyr

Brahme

Mohammadi

et al. 2018

Materials Science and Engineering: A

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To improve metal formability, high temperature forming has become a desired manufacturing process. Phenomenological plasticity models are widely used in this application, however lack good predictive capability concerning microstructure evolution during forming. Many crystal plasticity hardening models have been developed to predict deformation phenomena of metals during high temperature forming; however, few have thermodynamic self-hardening formulations based on deformation mechanisms. This work presents a crystal plasticity based analysis with a Taylor polycrystal averaging scheme of warm forming employing a new microstructure and dislocation based strain hardening model to simulate deformation behaviour. The hardening model is derived from energy balance between dislocation storage, dislocation accumulation, and dislocation recovery, based on remobilization of immobile dislocations, due to thermal activation. The constitutive formulation is extended to include alloying effects due to solute strengthening of Mg. The material hardening properties of AA5754 are characterized for a range of temperatures at constant strain-rates. A formulation for the kinematics of dynamic strain aging is presented and employed for room-temperature simulations. The hardening characterization is then used to predict stress-strain behaviour of AA5182 for similar conditions. The model shows excellent predictability of experimental results. An analysis on the microstructural connection between temperature and stress-strain response is presented.

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Single crystal plasticity with bend–twist modes

Cited by 6 publications

References 70 publications

Modelling the Flow Behaviour of Al Alloy Sheets at Elevated Temperatures Using a Modified Zerilli–Armstrong Model and Phenomenological-Based Constitutive Models

Modelling the Flow Behaviour of Al Alloy Sheets at Elevated Temperatures Using a Modified Zerilli–Armstrong Model and Phenomenological-Based Constitutive Models

Coupling Computational Homogenization with Crystal Plasticity Modelling for Predicting the Warm Deformation Behaviour of AA2060-T8 Al-Li Alloy

A new crystal plasticity framework to simulate the large strain behaviour of aluminum alloys at warm temperatures

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