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A quantitative boundary between two most populated types of area was established.
Subsequent to our study, further work by Le Corvec et al. (2013a,b) has provided new insights into a smaller quantitative boundary for the AVF.
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Using the OH fluorescence quenching predictions together with OH-PLIF images, quantitative boundaries for mixing are established for the three engine combustion modes.
However, these studies did not determine quantitative transition boundaries or did focus on differences in late-stage aggregate phases instead.
In the era of "quantitative easing", the boundary between monetary and fiscal policy has blurred.
In the present study, a quantitative three-dimensional boundary element model has been developed which can be used to determine the geometry of acceptable surface defects and to predict rolling contact fatigue life.
In our earlier work [1, 2] we have shown that the interpolating polynomial theory and the qualitative as well as quantitative study of boundary value problems such as existence and uniqueness of solutions, and convergence of various iterative methods are directly connected.
We also developed a quantitative model of grain boundary grooving coupled with grain boundary interdiffusion in thin bilayer films.
Quantitative measurements of grain boundary character distribution, triple junction type, grain boundary plane normal, and other interfacial network characteristics are extracted and analyzed.
Furthermore, quantitative assessment of the boundary network topology shows that the special grain boundary fraction is a poor predictor of network topology, but that the higher-order correlation derived from triple junction distributions can successfully describe the length scales of random boundary clusters.
This research clarifies the issue by using regular surface grids with submicron and coarser pitches to make quantitative measurements of grain boundary sliding, diffusional transfer of material at grain boundaries and intragranular deformation during superplastic deformation in shear at the optimum superplastic strain rate.
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