Abstract
AbstractHomogenization techniques lead to a deterministic description of a microstructure. However, the components of the microstructure for example of short fiber‐reinforced composites (SFRC) show probabilistic characteristics. In this study, a numerical approach is presented to analyze the influence of these probabilistic characteristics of the fiber length, diameter, orientation and fiber volume fraction on the elasticity tensor. The plausibility of the presented numerical approach is proven by the symmetry of the resulting elasticity tensor as well as the overall assumption of transversely‐isotropic material behavior for SFRC indicated by the elasticity tensor structure. The simulations based on PBT GF 30 reveal, that the elasticity coefficients are significantly influenced by the stochastic distribution of the fiber orientation. Besides this, except for C11, the stochastic properties of the fiber length, the fiber diameter and the fiber volume fraction only slightly influence the mean of the elasticity coefficients.
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