Prev Subsubsection 18.104.22.168: Finite Element Integration Rule Up Subsection 4.3.4: Scheme Section 4.4: Viscoelastic Solids Next
22.214.171.124 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:
|<nth>||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.
<scheme type="fibers-2d-trapezoidal"> <nth>31</nth> </scheme>