In Part I, a two-dimensional model containing discrete cylindrical voids was used to simulate void growth and coalescence ahead of a crack.
Two distinct void growth mechanisms, put forth by [Int. J. Solids Struct. 39 (2002 3581]] for the case of a two-dimensional model containing cylindrical voids, are well contained in the model developed in this study for spherical voids.
This three-dimensional model contains one length scale parameter to consider the small size effect.
A two dimensional (2D) model containing mass, energy, and momentum balance was developed for predicting permeate flux production.
They were simulated by means of a two-dimensional heat transfer model containing the local void fraction and velocity.
A three-dimensional finite element model containing a matrix crack, nucleated on the first loading cycle in the reaction layer around a fiber, that is bridged by SiC fibers is used to calculate both the matrix crack tip stress intensity factor and the local fiber stress concentrations due to the matrix crack, as a function of the crack size.
This model's predictions are also compared to those of a FSI model containing a two-dimensional solid model in order to assess, primarily, the effect of the cantilever slenderness in the simulations.
The above formula for a four-dimensional Table corresponds to a saturated log-rate model, containing all possible third- and lower-order effects.
A complementary stability analysis of a one-dimensional model problem, containing the essential features of the experimental conditions, is performed.
A "zone model" contains one-dimensional mass balances for the gas and the liquid phase and balance equations which are necessary to describe the change of the mean bubble diameter of the bubble size distribution.
The objective of the modal decomposition is to generate, for control design, a discretized finite-dimensional model that contains the dominant modes of the process dynamics.
