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Subsubsection 4.3.4.2: Finite Element Integration Rule Up Subsection 4.3.4: Scheme Section 4.4: Viscoelastic Solids

#### 4.3.4.3 Trapezoidal Rule

The scheme type for the trapezoidal integration rule is “fibers-2d-trapezoidal” for unconstrained and uncoupled continuous fiber distributions. This integration rule should only be used with 2D fiber density distributions. This scheme discretizes the unit circle into a set of circular arcs of identical lengths. The unit normal passes through the centroid of each arc element. The integration is performed as a summation over . For each direction the stress is evaluated only if the fiber bundle is in tension along that direction. The following material parameters need to be defined:
 Number of integration points [ ]
The parameter <nth> may be any number greater than 0. Odd values for <nth> produce more accurate results than even values.
Example:
<scheme type="fibers-2d-trapezoidal">
<nth>31</nth>
</scheme>

Subsubsection 4.3.4.2: Finite Element Integration Rule Up Subsection 4.3.4: Scheme Section 4.4: Viscoelastic Solids