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Finite Element Approximation of Wave Propagation in Composite Material With Asymptotic Homogenization

[+] Author Affiliations
Bhuiyan Shameem Mahmood Ebna Hai, Markus Bause

Helmut Schmidt University, Hamburg, Germany

Paper No. GT2014-26314, pp. V07AT28A009; 10 pages
doi:10.1115/GT2014-26314
From:
  • ASME Turbo Expo 2014: Turbine Technical Conference and Exposition
  • Volume 7A: Structures and Dynamics
  • Düsseldorf, Germany, June 16–20, 2014
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-4576-9
  • Copyright © 2014 by ASME

abstract

Advanced composite materials such as carbon fiber reinforced plastics are being applied to many aerospace or automotive structures in order to improve material performances and save weight. Most composites have strong, stiff fibres in a matrix which is weaker and less stiff. But these structures can be damaged due to fluid-structure interaction (FSI) oscillations or material fatigue. To design integrated structural health monitoring (SHM) systems in a lightweight structure, it is important to understand wave propagation phenomena in composite material, and the influence of the material properties of the structures. In non-destructive test (NDT), piezoelectric induced ultrasonic waves can be used for damage detection. In this work, we focus on mathematical modeling and numerical approximation of the propagation of time-harmonic elastic waves in a fiber-reinforced composite material. The fibers are assumed to be parallel to each other and statistically uniformly distributed. In this work we study higher order continuous finite element approximation of the elastic wave equation and the implementation is carried out by means of the FEM library deal.II. (Differential Equations Analysis Library)

Copyright © 2014 by ASME

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