Journal of Nondestructive Evaluation

, Volume 33, Issue 4, pp 515–521 | Cite as

Detection and Modelling of Nonlinear Elastic Response in Damaged Composite Structures

  • F. Ciampa
  • E. Onder
  • E. Barbieri
  • M. Meo
Original Research


In this paper the nonlinear material response of damaged composite structures under periodic excitation is experimentally and numerically investigated. In particular, the nonlinear wave propagation problem was numerically analysed through a finite element model able to predict the nonlinear interaction of acoustic/ultrasonic waves with damage precursors and micro-cracks. Such a constitutive model is based on the Landau’s semi-analytical approach to account for anharmonic effects of the medium, and is able to provide an understanding of nonlinear elastic phenomena such as the second harmonic generation. Moreover, Kelvin tensorial formulation was used to extend the wave propagation problem in orthotropic materials to the 3D Cartesian space. In this manner, the interaction of the stress waves with the 3D crack could be analysed. This numerical model was then experimentally validated on a composite plate undergone to impact loading. Good agreement between the experimental and numerical second harmonic response was found, showing that this material model can be used as a simple and useful tool for future structural diagnostic applications.


Nondestructive evaluation techniques Nonlinear ultrasound Finite element method  Multiscale modelling 


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Material Research Centre, Department of Mechanical EngineeringUniversity of BathBathUK
  2. 2.The School of Engineering and Materials ScienceQueen Mary University of LondonLondonUK

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