The Homogenization Process

The graphic below depicts the homogenization process of the multiscale material model. In this graphic, the individual constituent properties are input into an incremental Mori-Tanaka micromechanical model [8-10] that can accommodate evolving matrix properties. The incremental Mori-Tanaka micromechanics model produces homogenized composite properties for the idealized, perfectly aligned material. These properties, in turn, are operated upon by the fiber orientation tensor to produce the homogenized composite properties for the real material with the actual fiber orientation distribution.