Fatigue crack initiation, slip localization and twin boundaries in a nickel-based superalloy

Stein, Clayton; Cerrone, Albert; Ozturk, Tugce; Lee, Sukbin; Kenesei, Péter; Tucker, H. J.; Pokharel, Reeju; Lind, Jonathan; Hefferan, Christopher M.; Suter, Robert; Ingraffea, Anthony R.; Rollett, Anthony D.

doi:10.1016/j.cossms.2014.06.001

Cited by 93 publications

(51 citation statements)

References 37 publications

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“…In the parallel configuration, since dislocations do not cross the twin boundary, they can travel across the entire diameter of a grain. Stein, Rollett, and Ingraffea et al [14,15] using crystal plasticity models report very high stresses near twin boundaries for superalloys when there is no slip transmission across the twin boundary.…”

Section: Introductionmentioning

confidence: 99%

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High resolution mapping of strain localization near twin boundaries in a nickel-based superalloy

et al. 2015

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Section: Introductionmentioning

confidence: 99%

“…While crystal plasticity simulations based upon either molecular dynamic or finite elements are currently being developed to address these microstructural-influenced phenomena [8][9][10][11][12][13][14][15], little experimental data on local strain at the microscale is available for validation [16][17][18][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

High resolution mapping of strain localization near twin boundaries in a nickel-based superalloy

et al. 2015

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“…3, were measured using image analysis software. The maximum deviation was measured using an edge detection algorithm to 4 Variability in DIC strain measurements can be reduced by increasing the subset size, which worsens the spatial resolution. (a) Strain profile measurements were extracted along the image diagonals in DIC measurements calculated using OpenDIC made from image pairs with no applied load for HFWs of 85 μm with a step size of 5 pixels, as a function of DIC subset size.…”

Section: Spatial Distortionsmentioning

confidence: 99%

“…To develop predictive models for monotonic and cyclic loading, there is a need for quantitative assessment of the heterogeneous strain fields at the microscopic scale, to better relate the local mechanical behavior to the global loading conditions. 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%

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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“…The efficiency and simplicity of the algorithm stems from the facts that (i) the kernel is applied in the Fourier domain by optimized FFT routines (which are commonly available), (ii) mesh generation is completely avoided through a use of the regular grid, and (iii) the system/stiffness matrix does not have to be assembled. Motivated by these attractive characteristics, several improvements of the basic scheme have been proposed to achieve a more robust performance [5,6,7,8,9], eventually allowing the FFT-based algorithms to become a method of choice for multi-scale modeling of complex non-linear materials [10,11,12, and references therein].…”

Section: Introductionmentioning

confidence: 99%

A finite element perspective on nonlinear FFT-based micromechanical simulations

Zeman

Geus

Vondřejc

et al. 2017

Int. J. Numer. Meth. Engng

107

137

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Fourier solvers have become efficient tools to establish structure-property relations in heterogeneous materials. Introduced as an alternative to the Finite Element (FE) method, they are based on fixed-point solutions of the Lippmann-Schwinger type integral equation. Their computational efficiency results from handling the kernel of this equation by the Fast Fourier Transform (FFT). However, the kernel is derived from an auxiliary homogeneous linear problem, which renders the extension of FFT-based schemes to non-linear problems conceptually difficult. This paper aims to establish a link between FE-and FFT-based methods, in order to develop a solver applicable to general history-and time-dependent material models. For this purpose, we follow the standard steps of the FE method, starting from the weak form, proceeding to the Galerkin discretization and the numerical quadrature, up to the solution of non-linear equilibrium equations by an iterative Newton-Krylov solver. No auxiliary linear problem is thus needed. By analyzing a two-phase laminate with non-linear elastic, elasto-plastic, and visco-plastic phases, and by elasto-plastic simulations of a dual-phase steel microstructure, we demonstrate that the solver exhibits robust convergence. These results are achieved by re-using the non-linear FE technology, with the potential of further extensions beyond small-strain inelasticity considered in this paper.

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Fatigue crack initiation, slip localization and twin boundaries in a nickel-based superalloy

Cited by 93 publications

References 37 publications

High resolution mapping of strain localization near twin boundaries in a nickel-based superalloy

High resolution mapping of strain localization near twin boundaries in a nickel-based superalloy

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

A finite element perspective on nonlinear FFT-based micromechanical simulations

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