Probabilistic modeling of the crack bridge performance in short fiber reinforced composites

různé

angličtina

The pull-out response of a short fiber from the matrix depends on both the bond between the two materials and the geometry of the fiber. Fibers placed and oriented randomly in 3D space bridge matrix cracks with a certain inclination angle and embedded length distribution, respectively. With a pull-out law available in analytical form, the mean asymptotic per fiber force-crack opening diagram can be obtained for a uniformly loaded crack bridge in a short fiber reinforced composite by integrating the response of a single fiber multiplied by the joint probability density function of the random variables (e.g. position and inclination angle of the fiber). In order to obtain a crack-bridge force, random contributions of all the individual fibers bridging a crack have to be summed. In this paper, the distribution of fibers randomly intersecting a crack plane is introduced and the statistical evaluation of the random contribution of one fiber is evaluated. This information is utilized to probabilistically evaluate the crack bridging force by computing the sum of a random number (of bridging fibers) of independent random variables (single fiber response).

Short Fiber, ECC, Statistics, Binomial Distribution, Random Sum of Random Variables, Conditional Probability

VOŘECHOVSKÝ, M.; SADÍLEK, V.; RYPL, R.; CHUDOBA, R.

14. 11. 2011

Luxor

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