Nonlinear Interactions of Lamb Waves with a Delamination in Composite Laminates

Akhilendra S. Gangwar, Yamnesh Agrawal, DM Joglekar

Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems, 4(3), 031008 (2021)

Abstract

In view of their higher sensitivity in localizing an incipient damage, methods of non-destructive evaluation based on the nonlinear wave-damage interactions have been of continued interest in the recent past. In this paper, the propagation of guided waves through a delamination with contacting interfaces is studied numerically using a finite element-based framework. In particular, influence of the interlaminar location of the delamination on the nonlinear acoustic features in the response spectrum is investigated in detail. The numerical framework is validated by an in-house experimentation performed on a unidirectional glass fiber reinforced polymer (GFRP) laminate containing a through-width delamination. A parameter, referred to as the nonlinearity index (NI), is defined for quantifying the strength of the nonlinear wave-damage interactions and its dependence on the interlaminar location of the delamination is studied across a range of interrogation frequencies. The notion of contact energy intensity is introduced and further used for justifying the trends of variation of the NI obtained numerically and observed experimentally. Results indicate that two fundamental parameters govern the underlying contact phenomenon; they are the phase difference between the wave packets passing through the two sub-laminates and the flexural rigidities of the two sub-laminates present at the site of the delamination defect. While the former controls the relative displacement between the two sub-laminates, the latter governs the propensity of collisions between the two sub-laminates. Finally, a diametric effect of these two parameters on the generation of nonlinear harmonic signals with varying interlaminar locations of the delamination is brought out.

Research Significance

  • Fundamental understanding of nonlinear wave-damage interactions
  • Theoretical framework for nonlinear Lamb wave propagation
  • Experimental validation of theoretical predictions
  • Foundation for advanced damage detection techniques

Technical Approach

The research methodology encompassed:

  • Theoretical analysis of nonlinear wave propagation
  • Numerical modeling of wave-delamination interactions
  • Experimental studies on composite specimens
  • Signal analysis and damage characterization

Key Contributions

The study made several important contributions:

  • Comprehensive theoretical framework for nonlinear Lamb wave interactions
  • Experimental validation of nonlinear wave phenomena
  • Characterization of delamination effects on wave propagation
  • Development of analysis techniques for damage assessment

Applications

The research findings have applications in:

  • Aerospace composite structure monitoring
  • Automotive component inspection
  • Wind turbine blade health assessment
  • Marine composite structure evaluation

Conclusions

This work establishes a comprehensive understanding of nonlinear Lamb wave interactions with delaminations in composite laminates. The research provides both theoretical insights and experimental validation, creating a solid foundation for developing advanced nondestructive evaluation techniques.

The findings have significant implications for structural health monitoring applications and contribute to the development of more effective damage detection strategies for composite structures in various engineering applications.

Research Impact

Citations

Available on Google Scholar

Field

Nondestructive Evaluation, Composite Materials

Applications

Aerospace, Automotive, Marine Engineering