A probabilistic study of reflection and transmission coefficients of random anisotropic elastic plates

Nguyen, Vu‐Hieu; Abdoulatuf, Antoisse; Desceliers, Christophe; Naı̈li, S.

doi:10.1016/j.wavemoti.2016.03.007

Cited by 11 publications

(2 citation statements)

References 22 publications

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“…Indeed, these peaks are due to the shear modes that may exist when the material properties become fully anisotropic. Note that similar remark have been observe in the studying of thick random plate by Nguyen et al [25]. For an inclined angle of incidence γ = 30 • , the widths of confidence regions of both R and T becomes important, which means that the heterogeneity in the thickness's direction may leads to significant misunderstanding of the acoustic response.…”

Section: Effects Of Incident Wave Characteristicssupporting

confidence: 79%

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A numerical study of ultrasonic response of random cortical bone plates

et al. 2017

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Abstract.A probabilistic study on ultrasound wave reflection and transmission from cortical bone plates is proposed. The cortical bone is modeled by an anisotropic and heterogeneous elastic plate sandwiched between two fluids and has randomly varied elastic properties in the thickness direction. A parametric stochastic model is proposed to describe the elastic heterogeneity in the plate. Reflection and transmission coefficients are computed via the semi-analytical finite element (SAFE) method. The effect of material heterogeneity on reflected and transmitted waves is investigated from a probabilistic point of view. The parametric study highlights effects of the uncertainty of material properties on the reflection and transmission coefficients by varying the frequency, angle of incidence and bone thickness.

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Section: Effects Of Incident Wave Characteristicssupporting

confidence: 79%

“…This study follows the probabilistic framework to analyze wave reflection and transmission through anisotropic elastic plates proposed in [25]. A parametric probabilistic method, which is based on the maximum entropy principle, is used to generate an optimal probabilistic model.…”

Section: Introductionmentioning

confidence: 99%