| Popis: |
The two-constituent theory of Hall and Rajagopal (2011) is recast for N constituents based on the composite Helmholtz energy and elaborated to display the higher-gradient nature of the interactive forces between constituents. These body forces are essential in the descriptions of the intracell behaviors included in the force balances of each constituent. The model may be both applied to solid composites, e.g. for interrogating the damage and failure processes developed at the constituent level, as well as to diffusion-reaction processes involving e.g. fluids and solids. Applications of interest include the evolution of asymmetric material features potentially involving finite-dimensional growth and recession (oxidation of SiC results in a 2.2x local volume increase), leading to local rotations important to the description of failure, and the description of forces between constituents especially near free edges and cut-outs. |
