# Suppose that we need to find out the in-plane effective modulus of a composite reinforced with long.

Suppose that we need to find out the in-plane effective
modulus of a composite reinforced with long fibers aligned in the z-direction
and distributed uniformly. A 2-D elasticity model shown below can be used for
this study with ANSYS Workbench. The effective modulus can be estimated by
using the formula Eeff = _x(ave) /x_(ave) , where the averaged
stress and strain are evaluated along the vertical edge on the right side of
the model. Assume for the matrix E = 10 GPa, _ = 0.35, and for the fibers
E = 100 GPa, _ = 0.3. The unit cell has a dimension of 1 × 1 _m2 and
the radius of the fibers is
»

Suppose that we need to find out the in-plane effective
modulus of a composite reinforced with long fibers aligned in the z-direction
and distributed uniformly. A 2-D elasticity model shown below can be used for
this study with ANSYS Workbench. The effective modulus can be estimated by
using the formula Eeff = _x(ave) /x_(ave) , where the averaged
stress and strain are evaluated along the vertical edge on the right side of
the model. Assume for the matrix E = 10 GPa, _ = 0.35, and for the fibers
E = 100 GPa, _ = 0.3. The unit cell has a dimension of 1 × 1 _m2 and
the radius of the fibers is 0.2 _m. 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 generating the meshes for your
analysis.

»

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