Woven fibers

To define ply made with woven fibers, you must specify the following properties:

• The fiber properties of the warp and weft fibers.

• The balance coefficient, k, that specifies the amount of fibers that run in the warp direction compared to the amount that run in the weft direction.

• (Optional) The nominal yarn angle which is the angle between the warp and weft fibers. The nominal yarn angle default value is not 90º.

• The matrix properties.

A laminate analogy is used [5] to calculate the equivalent properties of a woven ply. To build the laminate corresponding to the specified fiber arrangement, two outer plies of k/2 thickness, and assumed to be oriented at 0º (warp direction), are first built by the software. The laminate is completed by adding an inner ply oriented at 90º (weft direction). The thickness of this ply is (1 - k). The analogy is illustrated in the figure below:

If the nominal yarn angle is not 90º, then the improved woven model is used to compute the anisotropic properties of the ply. For more information, see Sheared woven fibers. Otherwise, the properties of each ply are calculated with the unidirectional fiber equations presented in the preceding section. The properties of each ply and their orientation are then used to calculate the equivalent properties of the laminate. The properties are expressed in the 12 coordinate system, with the 1 direction oriented along the warp direction. The properties calculated by Simcenter 3D Laminate Composites include the transverse shear moduli G13 and G23.

Young’s modulus E3 is assumed to be equal to the Young’s modulus of the matrix, Em.

To calculate Poisson’s ratio in the 13 direction, we first write:

with traction in the 1 (warp) direction. Pulling in the 1 direction on the laminate shown in the above figure generates the following strain in the 3 direction:

Since the thickness of the warp direction plies is proportional to k and the thickness of the weft direction ply is proportional to (1 - k). We thus obtain:

With an identical approach, we get Poisson’s ratio in the 23 direction:

The thermal conductivity K3 is calculated by assuming a ‘spring in series’ model. With this model, the following expression is obtained:

The coefficient of thermal expansion α3 is assumed to be equal to:

How do I

Create a fiber-reinforced ply material

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Micromechanics

Unidirectional fibers

Unidirectional fibers strength predictions

Woven fibers strength predictions

Sheared woven fibers

Sheared woven fibers thermal properties

Sheared woven fibers strength predictions

Randomly oriented short fiber reinforced ply

Randomly oriented short fiber reinforced ply strength predictions

Particulate reinforced ply

Particulate reinforced ply strength predictions

Micromechanics references

Fiber-reinforced ply material

Fiber-reinforced ply material types

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Woven fibers, Simcenter 3D 2021.1 Series

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