In the context of a functionally-graded composite whose matrix property varies linearly from the interface, exact analytical solutions were derived for the dependence of the effective bulk moduli of some particle- and fiber-reinforced composites on the moduli slope of the matrix phase. Specifically, four types of property variation in the matrix were considered. In the particle case: the slopes of the matrix properties emanate from the origin; the bulk modulus of the matrix varies linearly while its shear modulus remains constant; the shear modulus varies linearly while its bulk modulus remains constant; and incompressible matrix. In the fiber case, the plane-strain bulk modulus of the matrix varies instead of the 3D bulk modulus.
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering