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In the new model, the flow in the matrix is governed by the usual Darcy law for porous media, with the fractures being treated as planar sources embedded in the matrix.
A micromechanical model for cementitious composite materials is described in which microcrack initiation, in the interfacial transition zone between aggregate particles and cement matrix, is governed by an exterior-point Eshelby solution.
The energy distribution of the channel matrix is governed by the resampling.
Recent studies have shown that the invasion speed of tumor cells through a three-dimensional matrix is governed by a dynamic equilibrium among traction forces, adhesion forces, and matrix deformation forces (37).
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Model interpretation showed that the elastic strain evolution in the fiber and matrix was governed by fiber fracture and interface slipping and not by plastic deformation of the matrix, whereas the macroscopic stress strain response of the composite was influenced by all three.
The overall drug release from these matrices is governed by hydration, gel layer formation, and drug diffusion into the gel layer and to the dissolution media [ 32, 33].
Whereas, those with fully martensitic and fully ausferritic matrices are governed by the aluminum variation.
The adaptation matrix C is governed by the Metropolis rule, while the choice of the diffusion matrix A follows the relative-degree rule [8].
The present investigation thus shows that the growth behavior of one type of grain is not affected by the other type of grain in the same matrix and is governed only by whether the grain shape is faceted or rounded.
In their approach the authors assumed that the flow between the matrix and fractures is governed by a local transfer function and that there are no communications between matrix blocks.
In general, behavior of two-phase fluid flow system through fractures and matrix porous media is governed by generalized Darcy's law and continuity equation (see "Appendix" for a comprehensive derivation).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com