Stochastic modeling of a glass fiber reinforced polymer

Hellen Altendorf (1) , Dominique Jeulin (2)

1 Fraunhofer ITWM - Fraunhofer Institute of Industrial Mathematics
2 CMM - Centre de Morphologie Mathématique

Stochastic modeling of a material microstructure is in general composed of multiple steps. First, geometric properties of the sample are measured by image analysis. Second, an appropriate stochastic model is chosen and model parameters are estimated from the geometric properties. Third, additional characteristics are computed on the data set and on realizations of stochastic models to evaluate the quality of the fitting. In this article, we show how to measure geometric properties of a fiber system, estimate parameters for two different fiber models, and evaluate the realizations with orientation covariance and tortuosity of the fibers. The considered stochastic models are the newly developed bended fiber model, composed of a force-biased packing of ball chains, and the classical cherry-pit cylinder model. We show the advantages and limitations of both methods.

Mots clés: Cylinder model; Data sets; Fiber model; Fiber reinforced composites; Fiber Separation; Fiber systems; Geometric properties; Glass fiber reinforced polymer; Material microstructures; Model parameters; Stochastic modeling; Fiber reinforced plastics; Geometry; Mathematical morphology; Parameter estimation; Quality control; Signal processing; Stochastic systems; 439-450Stochastic models

Domaines: Mathématiques appliquées; Matériaux

Hellen Altendorf, Dominique Jeulin. Stochastic modeling of a glass fiber reinforced polymer. 10th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing, ISMM 2011, Jul 2011, Verbania-Intra, Italy. pp.439-450, ⟨10.1007/978-3-642-21569-8_38⟩. ⟨hal-00834392⟩