Orientation dependence of the plastic slip near notches in ductile FCC single crystals

Crone, Wendy C.; Shield, T. W.; Creuziger, Adam A.; Henneman, B.

doi:10.1016/s0022-5096(03)00077-2

Cited by 34 publications

(37 citation statements)

References 9 publications

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“…It must be noted that both families of analytical solutions proposed in this work, have a kink sector boundary at θ = 90 • , in conformity with the experimental observations of Patil et al (2008bPatil et al ( , 2009) for aluminum single crystal specimens. The possible reasons why this kink shear band was not detected in the experiments of Shield (2001, 2003), Crone et al (2004) as well as in the discrete dislocation simulations of Van der Giessen et al (2001) are discussed.…”

Section: Introductionmentioning

confidence: 84%

“…In a series of investigations, Shield (1996), Shield (2001, 2003), Crone et al (2004) and Crone and Drugan (2001) conducted experiments with prenotched four-point bend fracture specimens of copper and copper-beryllium single crystals having the lattice orientation considered by Rice (1987). They used Moire microscopy to examine the strain distribution and also studied the slipline traces on the surface of the specimen.…”

Section: Introductionmentioning

confidence: 99%

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Families of asymptotic tensile crack tip stress fields in elastic-perfectly plastic single crystals

2009

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In this work, two families of asymptotic near-tip stress fields are constructed in an elastic-ideally plastic FCC single crystal under mode I plane strain conditions. A crack is taken to lie on the (010) plane and its front is aligned along the [101] direction. Finite element analysis is first used to systematically examine the stress distributions corresponding to different constraint levels. The general framework developed by Rice (Mech Mater 6:317-335, 1987) and Drugan (J Mech Phys Solids 49:2155-2176, 2001) is then adopted to generate low triaxiality solutions by introducing an elastic sector near the crack tip. The two families of stress fields are parameterized by the normalized opening stress (τ A 22 /τ o ) prevailing in the plastic sector in front of the tip and by the coordinates of a point where elastic unloading commences in stress space. It is found that the angular stress variations obtained from the analytical solutions show good agreement with finite element analysis.

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Section: Introductionmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Families of asymptotic tensile crack tip stress fields in elastic-perfectly plastic single crystals

2009

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“…Further FE analyses were also carried out for the RVE by assigning a single orientation to all grains, which is equivalent to a single crystal material. The contour plot of von Mises stress generally shows a highly distorted and asymmetric butterfly shape, indicating the significance of grain orientation in crack tip field [51,52].…”

Section: Stress-strain Response Near the Crack Tipmentioning

confidence: 99%

A crystal plasticity study of cyclic constitutive behaviour, crack-tip deformation and crack-growth path for a polycrystalline nickel-based superalloy

Lin

Tong

2011

Engineering Fracture Mechanics

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Crystal plasticity has been applied to model the cyclic constitutive behaviour of a polycrystalline nickel-based superalloy at elevated temperature using finite element analyses.A representative volume element, consisting of randomly oriented grains, was considered for the finite element analyses under periodic boundary constraints. Strain-controlled cyclic test data at 650°C were used to determine the model parameters from a fitting process, where three loading rates were considered. Model simulations are in good agreement with the experimental results for stress-strain loops, cyclic hardening behaviour and stress relaxation behaviour. Stress and strain distributions within the representative volume element are of heterogeneous nature due to the orientation mismatch between neighboring grains. Stress concentrations tend to occur within "hard" grains while strain concentrations tend to locate within "soft" grains, depending on the orientation of grains with respect to the loading direction. The model was further applied to study the near-tip deformation of a transgranular crack in a compact tension specimen using a submodelling technique. Grain microstructure is shown to have an influence on the von Mises stress distribution near the crack tip, and the gain texture heterogeneity disturbs the well-known butterfly shape obtained from the viscoplasticity analysis at continuum level. The stress-strain response near the crack tip, as well as the accumulated shear deformation along slip system, is influenced by the orientation of the grain at the crack tip, which might dictate the subsequent crack growth through grains.Individual slip systems near the crack tip tend to have different amounts of accumulated shear deformation, which was utilised as a criterion to predict the crack growth path.

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“…We choose the three orientations for the crack plane that give the smoothest crack surfaces: ͑011͒, ͑111͒, and ͑100͒, which we call orientations I, V, and II, respectively ͑adopting the numbering suggested by Crone et al 20 ͒; see Fig. 1͑a͒.…”

Section: Continuum-solution Boundary Conditionsmentioning

confidence: 99%

Molecular dynamics study of dislocation nucleation from a crack tip

Hess¹,

Giessen²,

Thijsse³

2005

Phys. Rev. B

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We have performed a systematic molecular dynamics study of the competition between crack growth and dislocation emission from a crack tip. Two types of boundary conditions are adopted: either planar extension or boundary displacements according to the anisotropic mode-I asymptotic continuum solution. The effects of temperature, loading rate, crystal orientation, sharpness of the crack tip, atomic potential, and system size are investigated. Depending on the crystal orientation, dislocation nucleation can be driven either by the strain or by concerted fluctuations at the crack tip. In the latter case, crystal orientation and temperature have the largest influence on the process of dislocation nucleation.

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Orientation dependence of the plastic slip near notches in ductile FCC single crystals

Cited by 34 publications

References 9 publications

Families of asymptotic tensile crack tip stress fields in elastic-perfectly plastic single crystals

Families of asymptotic tensile crack tip stress fields in elastic-perfectly plastic single crystals

A crystal plasticity study of cyclic constitutive behaviour, crack-tip deformation and crack-growth path for a polycrystalline nickel-based superalloy

Molecular dynamics study of dislocation nucleation from a crack tip

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