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Stress intensity factors are calculated directly using displacement extrapolation by displacement field near crack tip.
In this case, is calculated directly, using fully interpolated channel values.
In this method, the relative permeability values can be calculated directly using Darcy's law.
Then, the estimated PER can be calculated directly using equation (5) and thus the PRR.
where P ˜ c denotes empirical probability which can be calculated directly using the training database [41].
The yield is calculated directly using the joint cumulative distribution function (CDF) over the tolerance box requiring no numerical integration and avoiding computational complexity.
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The strain energy release rate is calculated directly by using a virtual crack closure technique.
The interaction of microcracks in a circular or elliptical region around the considered microcrack is calculated directly by using Kachanov's micromechanics method, while the influence of all other microcracks is reflected by modifying the stress applied in the far field.
Field-scale Dme values were calculated, either directly using data reported in the literature, or by reanalyzing the corresponding field tracer tests.
To examine the scaling behavior of reaction kinetics, these continuum-scale rates from the network model are compared to the rates calculated by directly using laboratory-measured reaction rate laws and ignoring pore-scale heterogeneities.
When evaluated across a wide range of parameter values, the results from simulations were in close agreement with predictions calculated directly from theory using the equation 2μ−2ρπg10 − 20πg (figs. 1 and 2).
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