Authors: Alexander M. Korsunsky, Daniele Dini, Michael J. Walsh
Abstract: Reliable prediction of fatigue crack growth rates in aerospace materials and components
underpins the so-called defect-tolerant approach to lifing. In this methodology the presence or
appearance of defects and cracks in components is accepted. However, safe operation is guaranteed
by regular inspections and health monitoring, and ensuring (by means of reliable modelling) that no
crack may grow far enough to reach the critical size in the interval between inspections. Under such
circumstances it is clear that particular attention has to be paid to the development and validation of
predictive modelling capabilities for fatigue crack propagation. The situation is complicated by the
fact that it is often a challenge to represent correctly the in-service loading experienced by a cracked
component. In practice, on top of the major cycles associated with each flight (LCF component),
cycles of higher frequency and lower amplitude are also present (HCF component). Sensitivity to
dwell at maximum load is also often observed. Furthermore, it is well established that complex load
sequences involving overloads and underloads result in fluctuations of fatigue crack growth rates
(retardation and acceleration) that must be accounted for in crack growth calculations. In the present
study we consider the application of an approach due to Noroozi et al. [1] to the analysis of R-ratio
effects in Ti-6Al-4V material, on the basis of the experimental crack growth rate data collected
under the auspices of AGARD programme [2]. The approach shows promising results, and has the
capacity to capture loading sequence effects.
5
Authors: Xu Song, Shu Yan Zhang, Daniele Dini, Alexander M. Korsunsky
Abstract: Most models based on continuum mechanics do not account for inhomogeneities at the
micro-scale. This can be achieved by considering a representative volume of material and using
(poly)crystal elasto-plastic deformation theory to model the effects of grain morphology and
crystallographic orientation. In this way, the relationship between the macroscopic stress state and
the stress state at the grain level can be investigated in detail. In addition, this approach enables the
determination of the inhomogeneous fields of plastic strain, the identification of regions of localised
plasticity (persistent slip bands), grain level shakedown, and the prediction of fatigue crack
initiation using energy dissipation at the micro-scale. Elastic anisotropy is known to promote earlier
onset of yielding, and to increase the magnitude of intergranular residual stresses. The effect of
hardening behaviour of different slip systems on intergranular residual stresses is more subtle, as
discussed in the text. The present study focuses on the analysis average intergranular residual
strains and stresses that arise within the polycrystal aggregate following the application of single or
cyclic external loading. These residual strains can also be evaluated experimentally using diffraction
of penetrating radiation, e.g. neutrons or high energy X-rays, allowing comparisons with the model
predictions to be made.
271
Authors: Alexander M. Korsunsky, Xu Song, Jonathan Belnoue, Leo D.G. Prakash, Daniele Dini, Michael J. Walsh
Abstract: Nickel base superalloys are the primary class of materials used in the manufacture of high
temperature components for gas turbine aeroengines, including combustion casings and liners, guide
vane and turbine blades and discs, etc. These components are subjected to complex cyclic loading
induced by the combination of mechanical loading, changing temperatures and thermal gradients,
inducing plastic deformation and creep, that ultimately may lead to crack initiation and propagation.
The purpose of the present paper is to provide a necessarily brief overview of recent modeling
activities in this field, including polycrystalline crystal plasticity modeling for the study of crack
initiation, coupled non-local damage-plasticity modeling for crack initiation and propagation
studies, and the incorporation of time and environment dependent processes (creep and oxidation) in
the predictive modeling of fatigue crack growth rates in nickel base superalloys.
53
Authors: Alexander M. Korsunsky, Shu Yan Zhang, Daniele Dini, Willem J.J. Vorster, Jian Liu
Abstract: Diffraction of penetrating radiation such as neutrons or high energy X-rays provides a
powerful non-destructive method for the evaluation of residual stresses in engineering components.
In particular, strain scanning using synchrotron energy-dispersive X-ray diffraction has been shown
to offer a fast and highly spatially resolving measurement technique. Synchrotron beamlines provide
best available instruments in terms of flux and low beam divergence, and hence spatial and
measurement resolution and data collection rate. However, despite the rapidly growing number of
facilities becoming available in Europe and across the world, access to synchrotron beamlines for
routine industrial and research use remains regulated, comparatively slow and expensive. A
laboratory high energy X-ray diffractometer for bulk residual strain evaluation (HEXameter) has
been developed and built at Oxford University. It uses a twin-detector setup first proposed by one of
the authors in the energy dispersive X-ray diffraction mode and allows simultaneous determination
of macroscopic and microscopic strains in two mutually orthogonal directions that lie approximately
within the plane normal to the incident beam. A careful procedure for detector response calibration
is used in order to facilitate accurate determination of lattice parameters by pattern refinement. The
results of HEXameter measurements are compared with synchrotron X-ray data for several samples
e.g. made from a titanium alloy and a particulate composite with an aluminium alloy matrix.
Experimental results are found to be consistent with synchrotron measurements and strain resolution
close to 2×10-4 is routinely achieved by the new instrument.
743
Authors: Daniele Dini, Alexander M. Korsunsky, Fionn P.E. Dunne
Abstract: Microscopic and macroscopic deformation of a polycrystal due to an applied load can be
modelled using crystal plasticity implemented within the Finite Element (FE) framework. However,
while macroscopic predictions can readily be validated against conventional monotonic and cyclic
stress-strain curves, verification at the microscopic level is harder to achieve, since it involves
calibrating the predictions for stresses and strains in individual grains, or in grains grouped by
certain criteria (e.g., orientation).
In this paper an elasto-plastic polycrystal finite element model is introduced, and its calibration is
performed at a mesoscopic level via comparison with neutron diffraction data obtained
experimentally. Time-of-flight (TOF) neutron diffraction experiments carried out on ENGIN-X
instrument at ISIS involved in situ loading of samples of C263 nickel-based superalloy. In order to
compare the numerical predictions of the FE model with these experimental data, the corresponding
mesoscale average elastic strains must be extracted from the results of the simulation by employing
a ‘diffraction post-processor’. This provides a much improved technique for the calibration of FE
formulation and enhances the confidence in the model. The FE diffraction post-processing
procedures are discussed in detail, and comparison between the model predictions and experimental
data are presented.
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