Sentence examples for using the phase model from inspiring English sources

In the following, we produce from the observation at the pilot symbol positions, with, an estimate of the coefficients, with, using the phase model (4) with equality.

However, rather than use the phase model directly, we instead consider the relative phase model by looking at the phase difference between each oscillator and the phase of the forcer.

The results indicate the possibility of using the phase field model in the qualitative and quantitative study of processes involving phase transformations in materials engineering and science.

This appendix summarizes the calculation procedure for simulating constant volume depletion (CVD) and constant composition expansion (CCE) testing results using the phase behavior model.

A comparison between residual stress fields computed using the phase transition model to results obtained using J2-plasticity shows significant differences, suggesting that predictions based on the latter may be unreliable.

The effect of elastic interaction on the formation and dynamic evolution of multi-domain microstructures during a hexagonal to orthorhombic transformation in the absence and presence of an externally applied strain field is investigated numerically using the phase field model.

A development of the nonlinear surface instability of heteroepitaxial films during annealing process has been studied by using the phase field microelasticity model.

We describe an implementation of a parallel finite-difference algorithm for the simulation of alloy solidification in three dimensions using the phase-field model.

Using the phase-field model for immiscible two-phase flows, we have numerically investigated the wetting dynamics.

These dislocations dissociate in a manner that is consistent with predictions made using the phase-field model of dislocations and also suggests the importance of the reordering process during their movement.

In particular, physically-motivated molecular dynamics (MD) simulations are performed to model quasi-static brittle crack propagation on the nano-scale and followingly compared to macroscopic modeling of fracture using the phase-field modeling (PFM) technique.