Inversion of ultrasonic, plane-wave transmission data in composite plates to infer viscoelastic material properties

M. Castaings, B. Hosten, Tribikram Kundu

Research output: Contribution to journalArticle

90 Citations (Scopus)

Abstract

Stiffness and damping properties of viscoelastic materials are given by the real and imaginary components, respectively, of the material constants. A new technique is proposed to experimentally measure the real and imaginary components of anisotropic (and isotropic) viscoelastic plates. Main advantage of this technique is that material properties of thin plates can be measured where many other techniques fail. Material properties are obtained by numerically inverting the transmitted ultrasonic fields, obtained for different incident angles. Simplex inversion algorithm is applied to initial estimates of plate thickness and plate properties. By this iterative technique the values of the unknown parameters (material properties and plate thickness) are continuously modified to give better agreement between the experimental and theoretical transmitted fields. After a certain number of iterations the speed of convergence of the Simplex scheme is significantly reduced. To improve the accuracy of convergence the Newton-Raphson inversion technique is adopted at that point. By this technique material properties of different types of plates are measured. These is a glass plate (isotropic plate with no damping), a polymer plate (isotropic plate with damping), and glass fiber reinforced epoxy plates with different fiber orientations (anisotropic plates with damping). Both real and imaginary components are successfully measured for all these plates. In a relative scale the measurement error for the imaginary components is higher. Reliability of the measured material constants of fiber reinforced epoxy plates is verified by the method of invariance. All experiments are carried out in the frequency range that is appropriate for satisfying two conditions - the specimen homogeneity and the plane wave conditions.

Original languageEnglish (US)
Pages (from-to)377-392
Number of pages16
JournalNDT and E International
Volume33
Issue number6
DOIs
StatePublished - Sep 2000

Fingerprint

Wave transmission
data transmission
Materials properties
plane waves
Damping
ultrasonics
Ultrasonics
inversions
composite materials
Composite materials
Fiber reinforced materials
Invariance
Measurement errors
Glass fibers
damping
Polymers
Stiffness
Glass
Fibers
fiber orientation

ASJC Scopus subject areas

  • Engineering(all)
  • Mechanical Engineering

Cite this

Inversion of ultrasonic, plane-wave transmission data in composite plates to infer viscoelastic material properties. / Castaings, M.; Hosten, B.; Kundu, Tribikram.

In: NDT and E International, Vol. 33, No. 6, 09.2000, p. 377-392.

Research output: Contribution to journalArticle

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