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Theoretical Framework and Experimental Procedure for Modelling Mesoscopic Volume Fraction Stochastic Fluctuations in Fiber Reinforced Composites by Johann Guilleminot; Christian Soize; Djimedo Kondo; Christophe Binetruy is a Engineering article available to read on EtoBox.

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Many engineering materials exhibit fluctuations and uncertainties on their macroscopic mechanical properties. This randomness results from random fluctuations observed at a lower scale, especially at the meso-scale where microstructural uncertainties generally occur. In the present paper, we first propose a complete theoretical stochastic framework (that is, a relevant probabilistic model as well as a non-intrusive stochastic solver) in which the volume fraction at the microscale is modelled as a random field whose statistical reduction is performed using a Karhunen-Loeve expansion. Then, an experimental procedure dedicated to the identification of the parameters involved in the probabilistic model is presented and relies on a non-destructive ultrasonic method. The combination of the experimental results with a micromechanical analysis provides realizations of the volume fraction random field. In particular, it is shown that the volume fraction can be modelled by a homogeneous random field whose spatial correlation lengths are determined and may provide conditions on the size of the meso-volumes to be considered.

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Author

Johann Guilleminot; Christian Soize; Djimedo Kondo; Christophe Binetruy

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0020-7683)

Published

2008

Language

EN

Field

Engineering (Physical Sciences)