fibers-3d-fei

Module: solid

Category: materialprop

Type string: "fibers-3d-fei"

Parameters

Name	Description	Default	Units
resolution	resolution	-1	[]

Description

The scheme type for the finite element integration rule is fibers-3d-fei for unconstrained and uncoupled continuous fiber distributions. This integration rule should only be used with 3D fiber density distributions. This scheme discretizes the unit sphere into a set of N spherical triangles of nearly identical surface areas. The unit normal \(\mathbf{n}\) passes through the centroid of each surface element. The integration is performed as a summation over N. For each direction \(\mathbf{n}\) the stress is evaluated only if the fiber bundle is in tension along that direction.

The parameter resolution must be one of the values 20, 34, 60, 74, 196, 210, 396, 410, 596, 610, 796, 810, 996, 1010, 1196, 1210, 1396, 1410, 1596, 1610, and 1796. A conservative choice for producing accurate results under general loading conditions is N=1610. Increasing values of N require increasing computational time.

Figure 1. Illustration of the fibers-3d-fei integration scheme.

Example:

<scheme type="fibers-3d-fei">
  <resolution>1610</resolution>
</scheme>