Tensile strength of titanium matrix composites: direct numerical simulations and analytic models

Reliability-analysis on damage of unidirectional composites matrix polymers

“…La validation de notre modèle est effectuée par comparaison avec la méthode d'analyse de Foster [8] pour un arrangement carré de fibres cassées unidirectionnelles. La figure 2 montre que pour les deux méthodes, la concentration de contrainte augmente en fonction du nombre de fibres cassées.…”

“…Cette différence est due au choix de l'arrangement des fibres qui est hexagonal dans notre modèle. Nous pouvons conclure que nos résultats sont en bon accord avec ceux donnés par Foster [8]. …”

Effect of spatial inhomogeneity in fiber packing on the strength variability of Al–matrix composites

“…The mean value of | b and its distribution is dependent on the fiber strength statistics as well as the load transfer characteristics that prevail between broken fibers and their neighbors [9]. Nominally, the ceramic fibers follow the Weibull statistics, given by…”

“…Several models try to predict | b as a function of volume [2][3][4][5][6][7][8][9][10][11][12][13]. A commonality in all these models is the identification of a representative volume element (or a characteristic bundle), whose fracture will lead to failure of the entire composite.…”

“…In all the theoretical models that are developed so far (including the one already discussed), it was generally assumed that the composites derive their strength variability only from the in-situ fiber bundle strength [2][3][4][5][6][7][8][9][10][11][12][13]. Thus, the composite mean strength, | c , and Weibull modulus, m c , were set identically equal to | b and m b , respectively.…”