The Fiber orientation tensor result shows the orientation tensor (degree of orientation) at the end of the injection molding process.
Using Midplane or Dual Domain analysis technology, the Fiber orientation analysis calculates the layer-based fiber orientation tensor at each time-step throughout the Fiber orientation analysis. Using 3D analysis technology, the Fiber orientation analysis creates nodal and elemental fiber orientation tensor results. This tensor is symmetric, thus it is expressed with six components in each laminate of each shell element of a Midplane or Dual Domain mesh model, or at each node and on each tetrahedral element in a 3D mesh model.
The Fiber orientation tensor result shows the probability of fiber alignment in the specified principal direction. A high probability of fiber alignment in the specified principal direction will be indicated by a value of close to 1 on the result scale, whereas a low probability is indicated by a value close to 0. The fiber orientation tensor in the first principal direction is the most useful result to view.
The diagonal components of a fiber orientation tensor represent the strength of alignment in the respective directions. The values of diagonal components range between 0 and 1, and the sum of all three diagonal components is 1. The off-diagonal components of a fiber orientation tensor represent the amount that alignments vary from the coordinate axes, and they are zero when coordinate axes coincide with the principal directions of the orientation tensor.
The principal directions are numbered in the order of the respective principal values, from the largest to the smallest. The first principal direction represents the direction along which the most fibers are aligned, and the third principal direction represents the one along which the fewest fiber are aligned. The larger the principle value is, the stronger the alignment in the corresponding principal direction is.