Theoretical framework and experimental procedure for modelling mesoscopic volume fraction stochastic fluctuations in fiber reinforced composites

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Guilleminot, Johann¹  Soize, Christian²  Kondo, Djimedo³  Binetruy, Christophe¹ 

[1] Ecole Mines, Dept Polymers & Composites Technol & Mech Engn, F-59508 Douai, France

[2] Univ Paris Est, Lab Modelisat & Simulat Multi Echelle, CNRS, MSME FRE3160, F-77454 Marne La Vallee, France

[3] Univ Sci & Technol Lille, Lab Mecan Lille, CNRS, UMR 8107, F-59655 Villeneuve Dascq, France

关键词: Composite materials;    Experimental identification;    Karhunen-Loeve expansion;    Micromechanics;    Polynomial chaos expansion;    Probabilistic model;    Stochastic modelling;    Volume fraction;   

DOI  :  10.1016/j.ijsolstr.2008.06.002

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

Free