Three-dimensional finite element analysis using crystal plasticity for a parameter study of fatigue crack incubation in a 7075 aluminum alloy

Wang, L.; Daniewicz, S.R.; Horstemeyer, M.F.; Sintay, Stephen D.; Rollett, Anthony D.

doi:10.1016/j.ijfatigue.2008.03.022

Cited by 12 publications

(5 citation statements)

References 14 publications

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“…When the slip system relation does not explicitly include kinematic hardening, the apparent kinematic hardening of simulated polycrystalline response emerges from intergranular interactions and is relatively weak for Al alloys. Wang et al [12] and Johnston et al [13] employed such an approach with combined isotropic and Armstrong-Frederick kinematic hardening. However, polycrystalline simulations we have conducted using the forms and parameter values published by Johnston et al [13] were unable to match experimental cyclic stress-strain data due to the dominance of isotropic hardening over a slowly evolving kinematic hardening response.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity of polycrystal plasticity to slip system kinematic hardening laws for Al 7075-T6

Hennessey

Castelluccio

McDowell

2017

Materials Science and Engineering: A

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The prediction of formation and early growth of microstructurally small fatigue cracks requires use of constitutive models that accurately estimate local states of stress, strain and cyclic plastic strain. However, little research has attempted to systematically consider the sensitivity of overall cyclic stressstrain hysteresis and higher order mean stress relaxation and plastic strain ratcheting responses introduced by the slip system back-stress formulation in crystal plasticity, even for face centered cubic (FCC) crystal systems. This paper explores the performance of two slip system level kinematic hardening models using a finite element crystal plasticity implementation [1]. The two kinematic hardening formulations aim to reproduce the cyclic deformation of polycrystalline Al 7075-T6 in terms of both macroscopic cyclic stress-strain hysteresis loop shape, as well as ratcheting and mean stress relaxation under strain-or stress-controlled loading with mean strain or stress, respectively. The first formulation is an Armstrong-Frederick type hardening-dynamic recovery law for evolution of the back stress [2]. This approach is capable of reproducing observed deformation under completely reversed uniaxial loading conditions, but overpredicts the rate of cyclic ratcheting and associated mean stress relaxation. The second formulation corresponds to a multiple back stress Ohno-Wang type hardening law [3] with nonlinear dynamic recovery. The adoption of this back stress evolution law greatly improves the capability to model experimental results for polycrystalline specimens subjected to cycling with mean stress or strain. The relation of such nonlinear dynamic recovery effects are related to slip system interactions with dislocation substructures.

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Section: Introductionmentioning

confidence: 99%

Sensitivity of polycrystal plasticity to slip system kinematic hardening laws for Al 7075-T6

Hennessey

Castelluccio

McDowell

2017

Materials Science and Engineering: A

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“…They used CP to model strain distributions around large arrays of square precipitates and showed the effect of precipitate volume fraction on fatigue driving force. Wang et al [7] studied fatigue crack incubation for interacting inclusions in separate grains of an aluminum 7075 alloy. Their analysis used CP to study 3D geometries extruded from circular and elliptical inclusion geometries.…”

Section: Introductionmentioning

confidence: 99%

A crystal plasticity-based study of the relationship between microstructure and ultra-high-cycle fatigue life in nickel titanium alloys

Moore

Frankel²,

Prasannavenkatesan

et al. 2016

International Journal of Fatigue

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Nickel Titanium (NiTi) alloys are often used in biomedical devices where failure due to mechanical fatigue is common. For other alloy systems, computational models have proven an effective means of determining the relationship between microstructural features and fatigue life. This work will extend the subset of those models which were based on crystal plasticity to examine the relationship between microstructure and fatigue life in NiTi alloys. It will explore the interaction between a spherical inclusion and the material's free surface along with several NiTi microstructures reconstructed from 3D imaging. This work will determine the distance at which the free surface interacts with an inclusion and the effect of applied strain of surface-inclusion interaction. The effects of inclusion-inclusion interaction, matrix voiding, and matrix strengthening are explored and ranked with regards to their influence on fatigue life.

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“…Wang et al completed a design of experiments study to order the effects of boundary conditions, load ratio, inclusion stiffness, number of active slip systems, grain boundary misorientation and inclusion aspect ratio on the maximum plastic shear strain range. In that study, two possible values for each parameter were considered and it was determined that applied displacement was the most significant parameter (Wang et al 2009).…”

Section: Introductionmentioning

confidence: 99%

A geometric approach to modeling microstructurally small fatigue crack formation: II. Physically based modeling of microstructure-dependent slip localization and actuation of the crack nucleation mechanism in AA 7075-T651

Hochhalter¹,

Littlewood²,

Christ³

et al. 2010

Modelling Simul. Mater. Sci. Eng.

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The objective of this paper is to develop further a framework for computationally modeling microstructurally small fatigue crack growth in AA 7075-T651 (Bozek et al 2008 Modelling Simul. Mater. Sci. 16 065007). The focus is on the nucleation event, when a crack extends from within a secondphase particle into a surrounding grain, since this has been observed to be an initiating mechanism for fatigue crack growth in this alloy. It is hypothesized that nucleation can be predicted by computing a non-local nucleation metric near the crack front. The hypothesis is tested by employing a combination of experimentation and finite element modeling in which various slip-based and energy-based nucleation metrics are tested for validity, where each metric is derived from a continuum crystal plasticity formulation. To investigate each metric, a non-local procedure is developed for the calculation of nucleation metrics in the neighborhood of a crack front. Initially, an idealized baseline model consisting of a single grain containing a semi-ellipsoidal surface particle is studied to investigate the dependence of each nucleation metric on lattice orientation, number of load cycles and non-local regularization method. This is followed by a comparison of experimental observations and computational results for microstructural models constructed by replicating the observed microstructural geometry near second-phase particles in fatigue specimens. It

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Three-dimensional finite element analysis using crystal plasticity for a parameter study of fatigue crack incubation in a 7075 aluminum alloy

Cited by 12 publications

References 14 publications

Sensitivity of polycrystal plasticity to slip system kinematic hardening laws for Al 7075-T6

Sensitivity of polycrystal plasticity to slip system kinematic hardening laws for Al 7075-T6

A crystal plasticity-based study of the relationship between microstructure and ultra-high-cycle fatigue life in nickel titanium alloys

A geometric approach to modeling microstructurally small fatigue crack formation: II. Physically based modeling of microstructure-dependent slip localization and actuation of the crack nucleation mechanism in AA 7075-T651

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