Coupling between measured kinematic fields and multicrystal SMA finite element calculations

Merzouki, Tarek; Collard, Christophe; Bourgeois, Nadine; Zineb, Tarak Ben; Meraghni, Fodil

doi:10.1016/j.mechmat.2009.09.003

Cited by 35 publications

(21 citation statements)

References 24 publications

(38 reference statements)

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“…Crystal plasticity simulations based upon either molecular dynamics or finite elements are currently being developed to address these microstructuralinfluenced phenomena [3,4] and localization of plasticity along slip bands or persistent slip bands [5]. Experimental data on strain localization via in situ SEM DIC is available [6][7][8][9][10][11][12][13][14] at the microscale, however few experiments [15][16][17] have resolved subgrain strain fields at the scale of the localization of plasticity (slip bands).…”

Section: Introductionmentioning

confidence: 99%

“…The combination of scanning electron microscopy (SEM) and digital image correlation (DIC) has recently emerged as a robust method for experimental quantification of 2-D in-plane strain fields at the microstructure scale [6,7,12,13,15,[17][18][19]. However, it is still challenging to obtain the necessary spatial resolution to measure the strain field at the micron and submicron scale, especially when plasticity (slip) is involved.…”

Section: Introductionmentioning

confidence: 99%

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Sub-Grain Scale Digital Image Correlation by Electron Microscopy for Polycrystalline Materials during Elastic and Plastic Deformation

et al. 2015

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Damage during loading of polycrystalline metallic alloys is localized at or below the scale of individual grains. Quantitative assessment of the heterogeneous strain fields at the grain scale is necessary to understand the relationship between microstructure and elastic and plastic deformation. In the present study, digital image correlation (DIC) is used to measure the strains at the sub-grain level in a polycrystalline nickel-base superalloy where plasticity is localized into physical slip bands. Parameters to minimize noise given a set speckle pattern (introduced by chemical etching) when performing DIC in a scanning electron microscope (SEM) were adapted for measurements in both plastic and elastic regimes. A methodology for the optimization of the SEM and DIC parameters necessary for the minimization of the variability in strain measurements at high spatial resolutions is presented. The implications for detecting the early stages of damage development are discussed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Sub-Grain Scale Digital Image Correlation by Electron Microscopy for Polycrystalline Materials during Elastic and Plastic Deformation

et al. 2015

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“…The coefficients involved in the new criterion are to be considered material constants and calibrated through the experimental results. Actual experiments would require meticulous experimental techniques [33][34][35]. For the analysis of the capability of the developed criteria to take into account the specific feature of martensitic transformation in textured polycrystal, simulated experiments through a micromechanical model are preferred.…”

Section: Capturing Anisotropymentioning

confidence: 99%

Phase Transformation of Anisotropic Shape Memory Alloys: Theory and Validation in Superelasticity

Chatziathanasiou

Chemisky

Meraghni

et al. 2015

Shap. Mem. Superelasticity

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. Abstract In the present study, a new transformation criterion that includes the effect of tension-compression asymmetry and texture-induced anisotropy is proposed and combined with a thermodynamical model to describe the thermomechanical behavior of polycrystalline shape memory alloys. An altered Prager criterion has been developed, introducing a general transformation of the axes in the stress space. A convexity analysis of such criterion is included along with an identification strategy aimed at extracting the model parameters related to tension-compression asymmetry and anisotropy. These are identified from a numerical simulation of an SMA polycrystal, using a self-consistent micromechanical model previously developed by Patoor et al. (J Phys IV 6(C1):277-292, 1996) for several loading cases on isotropic, rolled, and drawn textures. Transformation surfaces in the stress and transformation strain spaces are obtained and compared with those predicted by the micromechanical model. The good agreement obtained between the macroscopic and the microscopic polycrystalline simulations states that the proposed criterion and transformation strain evolution equation can capture phenomenologically the effects of texture on anisotropy and asymmetry in SMAs.

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“…Two main forms , distinguished on the basis of the conguration of variants, are observed: twinned martensite, for which the variants appear in multiple directions and form a selfaccommodated assembly ; and detwinned or oriented martensite, for which a principal direction of variants dominates the martensitic composition (Merzouki et al, 2010). Contrary to the two-way direction of phase transformation, the transition between these two 35 crystallic congurations occurs in one direction, resulting to detwinned martensite only and is called orientation or detwinning.…”

Section: Introductionmentioning

confidence: 99%

Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading

Chatziathanasiou

Chemisky

Chatzigeorgiou

et al. 2016

International Journal of Plasticity

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractIn the present study, a new 3D thermodynamic coupled model is proposed for SMAs.The behavior of SMA structures is described through several strain mechanisms, each associated with its proper internal variables. This model is built to capture the particular behavior of SMAs when subjected to complex loading, namely non-proportional thermomechanical loading. To achieve this task, a new approach to describe the martensitic reorientation mechanism has been introduced in conjuction with a new method to account for forward and reverse transformation. Thermomechanical coupling, related to dissipation and latent heat is fully implemented. The validity of the model is demonstrated by comparing experimental results of complex thermomechanical loading paths of SMA structures with numerical simulations.

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Coupling between measured kinematic fields and multicrystal SMA finite element calculations

Cited by 35 publications

References 24 publications

Sub-Grain Scale Digital Image Correlation by Electron Microscopy for Polycrystalline Materials during Elastic and Plastic Deformation

Sub-Grain Scale Digital Image Correlation by Electron Microscopy for Polycrystalline Materials during Elastic and Plastic Deformation

Phase Transformation of Anisotropic Shape Memory Alloys: Theory and Validation in Superelasticity

Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading

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