Mechanical tests and simulation on load sharing in alumina fiber bundles

True Strength of Ceramic Fiber Bundles: Experiments and Simulations

“…In previous work [ 15 ], the N610 engineering strength for the 10 cm gauge length as-received samples ( ) was with . Using , which is the gauge length used for the experiments in the present research, we obtained .…”

“…As input data, the statistical parameters obtained from the N610 and N720 filaments tested were used. Enhancing previous simulations [ 15 ], a self-growing hexagonal fiber placement setup was developed to represent the circular cross-section arrangement within a bundle. This approach was based on the triangular lattice geometry of Derda [ 24 ].…”

“…This approach was based on the triangular lattice geometry of Derda [ 24 ]. This option avoided some problems related to the by square matrix approach and allowed the simulation to be executed for almost any nominal count of virtual fibers [ 4 , 15 ].…”

“…As already mentioned, this model is related to the LLS model, but the factor accumulated on the surviving local neighbors is spread to a further neighborhood [ 15 ]. Similar to the Duxbury and Leath model [ 16 ], load distribution based on a power law is applied to higher-order neighborhoods in this model.…”

“…For instance, Durham et al [ 13 ] considered a four-neighbor positioning system for the fibers, while Batdorf et al [ 14 ] considered a uniform load sharing among fibers within a determined radius. In addition, a modified local load-sharing model termed non-localized load sharing (NLLS) was introduced recently [ 15 ]. This model uses a power law approach for stress distribution as considered by Duxbury and Leath [ 16 ] considering that the load carried by the broken fiber is non-uniformly distributed among higher-order neighbors.…”