Sensitivity of ultrasonic wave velocity estimation using the Christoffel equation for wood non-destructive characterization

Espinosa Morenon Luis Fernando, Brancheriau Loïc, Prieto Flavio, Lasaygues Philippe. 2018. Sensitivity of ultrasonic wave velocity estimation using the Christoffel equation for wood non-destructive characterization. BioResources, 13 (1) : pp. 918-928.

Journal article ; Article de recherche ; Article de revue à facteur d'impact Revue en libre accès total
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Abstract : To perform a non-destructive evaluation of wood, the Christoffel equation is frequently used to describe the relationship between the ultrasonic wave velocity and the mechanical parameters. In the context of acoustical tomography imaging of standing trees, the key contribution of this numerical study is to determine the influence of mechanical parameters of the wood radial-tangential plane on the wave velocity computation using the Christoffel equation. Mechanical parameters from six species were selected. A sensitivity analysis was carried out by increasing and decreasing every parameter by a given percentage, and then by computing the variation of velocity for a set of wave direction of propagations. The evolution of the wave velocity, according to the direction of propagation, depended on the considered species; there was a difference between the softwoods and the hardwoods. The sensitivity analysis showed a bigger influence of the Young's moduli, followed by the Poisson's ratio, and finally by the shear modulus. However, these last two parameters cannot be neglected when using the Christoffel equation to solve the inverse problem of standing tree tomography. A proposed solution involves determining the propagation paths using the Young's moduli as variables and then inversing the set of equations in accordance with the overall parameters. (Résumé d'auteur)

Mots-clés Agrovoc : Bois, Technologie du bois, acoustique, Vibration, Ultrason, Propriété mécanique, Propriété physicochimique, Propriété technologique, Modèle mathématique, Propriété acoustique

Mots-clés complémentaires : Essai non destructif, Orthotropie

Mots-clés libres : Wood, Ultrasonic, Wave propagation, Orthotropy, Christoffel equation

Classification Agris : K50 - Processing of forest products
U30 - Research methods

Champ stratégique Cirad : Axe 2 (2014-2018) - Valorisation de la biomasse

Auteurs et affiliations

  • Espinosa Morenon Luis Fernando, CIRAD-PERSYST-UPR BioWooEB (FRA) - auteur correspondant
  • Brancheriau Loïc, CIRAD-PERSYST-UPR BioWooEB (FRA) ORCID: 0000-0002-9580-7696
  • Prieto Flavio, Universidad Nacional de Colombia (COL)
  • Lasaygues Philippe, CNRS (FRA)

Source : Cirad-Agritrop (

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