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Identification of complex stiffness tensor from waveform reconstruction.

N Leymarie1, C Aristégui, B Audoin

  • 1Université Bordeaux 1, UMR CNRS no 5469, Laboratoire de Mécanique Physique, Ecole MATMECA, Talence, France. n.leymarie@lmp.u-bordeaux.fr

The Journal of the Acoustical Society of America
|April 5, 2002
PubMed
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This study introduces an inverse method to identify viscoelastic properties of composite plates using acoustic fields. The technique enhances robustness against noise, enabling analysis of thin specimens and demonstrating reliable experimental characterization.

Area of Science:

  • Materials Science
  • Acoustics
  • Mechanical Engineering

Background:

  • Accurate characterization of viscoelastic properties in composite materials is crucial for predicting their performance and durability.
  • Existing methods for determining material properties can be limited by noise sensitivity and specimen thickness.

Purpose of the Study:

  • To develop and validate an inverse method for determining viscoelastic properties of composite-material plates.
  • To improve the robustness of the inversion process against high levels of noise in acoustic waveforms.
  • To enable the application of the method to very thin composite specimens.

Main Methods:

  • Development of analytical formulations for the plate transmission coefficient and its derivatives.
  • Implementation of a two-step inversion scheme incorporating these formulations.

Related Experiment Videos

  • Design of two objective functions based on the maximum-likelihood principle and analytic signal formulation.
  • Validation using simulated data for composite materials with varying anisotropy and damping.

    • Main Results:

    • The proposed inverse method effectively determines viscoelastic properties from plane-wave transmitted acoustic fields.
    • The innovative objective functions significantly improve robustness against noise, allowing analysis of thin specimens.
    • The study highlights the importance of phenomenological rheologic models for accurate elastic property identification.
    • Experimental characterizations confirm the reliability of the developed approach.

    Conclusions:

    • The developed inverse method provides a reliable and robust technique for identifying viscoelastic properties of composite plates.
    • The method's ability to handle noisy data and thin specimens expands its applicability in material characterization.
    • Careful selection of rheologic models is essential for accurate elastic property determination in viscoelastic composites.