Page 200 - Finite Element Modeling and Simulations with ANSYS Workbench

Modeling and Solution Techniques 185

ν = 0.35, and for the fibers E = 100 GPa, ν = 0.3. The unit cell has a dimension of
1 × 1 μm and the radius of the fibers is 0.2 μm.
2
Start with 1 × 1 cell, 2 × 2 cells, 3 × 3 cells, … and keep increasing the number
of the cells as you can. Report the value of the effective Young’s modulus of the
composite in the x direction. Employ symmetry features of the model in gener-
ating the meshes for your analysis.
y

p

x
One unit cell

5.7 Suppose that a “meshed panel” will be used in a design in order to reduce the
weight. For this purpose, we need to find out the in-plane effective modulus of
this panel in the x- or y-direction. A sample piece of the panel similar to the one
shown below can be used for this study. Employ symmetry and study the effects
of the numbers of cells used in the model on the effective modulus of the panel
in the x-direction.

y a b c

p

x
One cell

Assume the panel is made of aluminum with E = 70 GPa, ν = 0.35, a = 10 mm,
b = 5 mm, c = 1.5 mm, and thickness t = 1 mm.