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Stokes–Brinkman formulation for prediction of void formation in dual-scale fibrous reinforcements: a BEM/DR-BEM simulation

Patiño, Iván David; Power, H.; Londoño, Cćsar Nieto; Flόrez, Whady Felipe

Authors

Iván David Patiño

H. Power

Cćsar Nieto Londoño

Whady Felipe Flόrez



Abstract

A numerical study of voids formation in dual-scale fibrous reinforcements is presented. Flow fields in channels (Stokes) and tows (Brinkman) are solved via direct Boundary Element Method and Dual Reciprocity Boundary Element Method, respectively. The present approach uses only boundary discretization and Dual Reciprocity domain interpolation, which is advantageous in this type of moving boundary problems and leads to an accurate representation of the moving interfaces. A problem admitting analytical solution, previously solved by domain-meshing techniques, is used to assess the accuracy of the present approach, obtaining satisfactory results. Fillings of Representative Unitary Cells at constant pressure are considered to analyze the influence of capillary ratio, jump stress coefficient and two formulations (Stokes-Brinkman and Stokes-Darcy) on the filling process, void formation and void characterization. Filling times, fluid front shapes, void size and shape, time and space evolution of the saturation, are influenced by these parameters, but voids location is not.

Journal Article Type Article
Journal Computational Mechanics
Print ISSN 0178-7675
Electronic ISSN 0178-7675
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
APA6 Citation Patiño, I. D., Power, H., Londoño, C. N., & Flόrez, W. F. (in press). Stokes–Brinkman formulation for prediction of void formation in dual-scale fibrous reinforcements: a BEM/DR-BEM simulation. Computational Mechanics, https://doi.org/10.1007/s00466-016-1360-5
DOI https://doi.org/10.1007/s00466-016-1360-5
Keywords Boundary Element Method; Stokes–Brinkman formulation; Stress matching conditions; Void formation; Dual-scale fibrous reinforcement
Publisher URL http://link.springer.com/article/10.1007%2Fs00466-016-1360-5
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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