RVE. In a hexagonal RVE there is symmetry about the y-axis and also about the +30
degree directions. The hexagonal unit cell is modeled using 2,400 quadratic solid
elements with periodic boundary conditions [10].
Matrix
Figure 2-2. A hexagonal RVE and corresponding FE mesh.
C1
Y1
y, 3, v
I bo a,
x, 2, u "
z,I1,w xo X1 )
Yo
Figure 2-3. Geometry of square and hexagonal unit cells.
The unit cells are subjected to axial and shear displacements combined with
thermal effects using periodic boundary conditions. The boundary condition on a RVE
element is established by symmetry consideration so that the micromechanics analysis
can be confined to a single repeating element. The periodic boundary conditions maintain
equal boundary displacements with the adjacent unit cells to satisfy the compatibility of
displacements on opposite faces of the unit cell and enforce the continuity of stresses.