Multiparametric modeling of composite materials based on non-intrusive PGD informed by multiscale analyses: Application for real-time stiffness prediction of woven composites

• Published in: Composite structures 2022-12, Vol.302, p.116228, Article 116228
• Main Authors: El Fallaki Idrissi, M., Praud, F., Champaney, V., Chinesta, F., Meraghni, F.
• Format: Article
• Language: English
• Subjects: Engineering Sciences; Geometrical and material parameters; Mechanical properties; Mechanics; Mechanics of materials; Multiparametric solution; Multiscale modeling; Non-intrusive PGD; Solid mechanics; Woven composite material
• ISSN: 0263-8223; 1879-1085
• DOI: 10.1016/j.compstruct.2022.116228

In this paper, a multiparametric solution of the stiffness properties of woven composites involving several microstructure parameters is performed. For this purpose, non-intrusive PGD-based methods are employed. From offline pre-computed solutions generated through a full-field multiscale modeling, the proposed method approximates the multidimensional solution as a sum of products of one-dimensional functions each depending on a single variable. The present work aims at providing an accurate approximation of this multiparametric solution with lower computational cost for dataset generation. Thus, a comparative analysis of three non-intrusive PGD formulations (SSL, s-PGD and ANOVA-PGD) is carried out. The obtained results reveal and demonstrate that the ANOVA-PGD model works well for approximating the stiffness properties over the entire parameter space, i.e., along its boundary as well as inside it, by using only few pre-computed high-fidelity solutions. Finally, a GUI application is developed to exploit this multiparametric solution by incorporating other composite weave architectures. This application could be easily used by engineers and composite designers, to deduce, in real-time, the macroscopic properties of woven composite for a given set of microstructural parameters by simply varying the cursors and without any microstructure generation and meshing nor FE computations using periodic homogenization. [Display omitted] •On the fly overall stiffness prediction for various woven composite microstructures.•Comparative analysis of three non-intrusive formulations: accuracy and robustness.•GUI application for real-time of stiffness prediction for woven-fabric architectures.