Multi-scale wave propagation modelling for two-dimensional periodic textile composites

Thierry, Victor; Brown, Louise; Chronopoulos, Dimitrios

Abstract

In this article, a method allowing vibro-acoustic and ultrasonic wave propagation analysis of highly anisotropic textile composites at a mesoscopic level is presented for the first time. The method combines the advantages of mode-based Component Mode Synthesis (CMS) that allows reduction of the size of the Dynamic Stiffness Matrix (DSM) of a textile unit cell, and of a Wave Finite Element Method (WFEM), which associates the Periodic Structure Theory (PST) with standard Finite Element Method (FEM). The scheme presented allows the study of the wave propagation properties of a periodic structure by modelling only a unit cell. A multi-scale approach is used to enable the comparison of standard vibrational analysis of textile composite structures, using homogenized properties, with a more complex analysis, where the mesoscale properties of the structure are preserved. It is shown for two different types of weaves that using a standard homogenised model results in significant errors in the dispersion curves. Also band-gap behaviour within specific frequency ranges are successfully predicted using the mesoscale models, whereas it was not observed in the macroscale ones.

Citation

Thierry, V., Brown, L., & Chronopoulos, D. (2018). Multi-scale wave propagation modelling for two-dimensional periodic textile composites. Composites Part B: Engineering, 150, 144-156. https://doi.org/10.1016/j.compositesb.2018.05.052

• Journal Article Type: Article
• Acceptance Date: May 29, 2018
• Online Publication Date: Jun 1, 2018
• Publication Date: Oct 1, 2018
• Deposit Date: Jun 1, 2018
• Publicly Available Date: Jun 2, 2019
• Journal: Composites Part B: Engineering
• Print ISSN: 1359-8368
• Electronic ISSN: 1359-8368
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 150
• Pages: 144-156
• DOI: https://doi.org/10.1016/j.compositesb.2018.05.052
• Keywords: Textile composite structures, Wave propagation, Periodic Structure Theory, Component Mode Synthesis, Unit cell modelling, Multiscale homogenization
• Public URL: https://nottingham-repository.worktribe.com/output/950315
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S1359836818305729