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loads. We studied the fiber stress
                                                                              response on the ribbon array for various
                                                                              boot  materials  and  geometries,  and
                                                                              presented some of the results of design
                                                                              optimization performed on a simplified
                                                                              quasi-2D model to take advantage of the
                                                                              boot-fiber system uniformity along its
                                                                              middle section to minimize fiber stress
                                                                              under a side pull force.
                                                                                Preliminary  studies  showed  the
                                                                              benef its of a boot with a tapered
        Figure 12: Description of the loading conditions used for boot optimization.  shape using softer material—it tends
                                                                              to distribute the stress. The loading
                                           of the bending control of the fibers to act   condition  is  applied  sequentially  as
                                           as a strain relief mechanism. However, we   described in Figure 12, with a first
                                           must be careful that the fiber curvature and   axial load before an imposed rotation
                                           anchoring forces do not exceed the allowable   of 90 degrees to reproduce the side pull
                                           thresholds. The benefit of the initial bend   test on the fiber. The initially applied
                                           of the fibers are demonstrated [1], and an   tensile axial force prevents local bending
                                           optimization was performed to balance   and excessive unbalanced forces,
                                           the stress for the optimal strain relieving   both  of  which  improve  the  stability
                                           effect. The fiber bends and radii are the best   of the simulation. A morphing model
                                           indicators to track the fiber loads and ensure   was  used  as  a  strategy  to  optimize
                                           that they are within our specification. All   the boot geometric parameter, where
                                           these values need to be below the long-term   the finite element mesh is deformed
                                           and short-term bending radius thresholds for   using a combination of six smooth and
                                           all loading conditions, to ensure robustness.  continuous perturbations as shown
                                                                              in  Figure 13 in the   computational
                                           Boot optimization for ribbon pull  domain. In our model, the material’s
                                             It’s possible to add a boot at the point   elastic modulus is varied during the
                                           where optical fibers exit the module   optimization process, but the length of
                                           to prevent fibers failures when loads   the boot is kept constant at the minimal
                                           are  applied  to  them.  This  feature  is   size to achieve an acceptable radius
                                           commonly used on all kinds of cables   of curvature for the side pull test. The
                                           to  mitigate  the  bending  force  and   morphology of the boot is optimized
                                           stresses. A gradual change of shape   toward  minimization  of  the  fiber’s
                                           enables stiffness control to redistribute   maximal principal stress. The boot shape
                                           and reduce stress concentrations and   morphology optimization experimental
        Figure 13: Shape perturbations used for boot   therefore, to improve the overall cable   results suggested that there should be
        geometric optimization.            strength when it is subjected to external   an increase in the root base of 27% in
                                                                              the thickness and an increase of 32% in
                                                                              the elastic modulus with respect to the
                                                                              original values. The combination of these
                                                                              two modifications leads to a reduction
                                                                              in fiber stress by 33% in our model as
                                                                              shown in Figure 14. Also, the location
                                                                              of the maximum stress has moved out
                                                                              from the root attachment to one fifth
                                                                              inside the boot length, indicating that the
                                                                              boot is able to distribute the fiber stress
                                                                              over a wider area, thereby decreasing the
                                                                              maximum stress level and improving the
                                                                              robustness of the fibers under this type
                                                                              of loading.
                                                                                Several boot shapes have been tested
                                                                              in lateral load in Figure 15 with the
                                                                              objective of improving the resistance of
                                                                              the fibers when subjected to lateral loads.
        Figure 14: Morphologic optimization of the tapered boot. The initial and optimal shapes for such a boot are   Those boots add stiffness around the fiber
        presented along with the resulting fiber stress in the side pull test load application. The shape did reduce by   ribbon at the edge discontinuity and the
        33% the stress in the fiber used in our model.

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