Modeling of the Ultrasonic Propagation into Carbon-Fiber-Reinforced Epoxy Composites, Using a Ray Theory Based Homogenization Method

Deydier, S.; Leymarie, Nicolas; Calmon, Pierre; Mengeling, V.

doi:10.1063/1.2184630

Cited by 14 publications

(10 citation statements)

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“…For example we choose a radius of curvature of 500 mm. In this situation, effects of the curvature are small and the piecewise description is known as valid [3]. Let us report results for the piecewise description with 5 sectors: There is a very good agreement between the two curves as we can see in Figure 9.…”

Section: (A) (B)mentioning

confidence: 71%

“…We consider this model and a description of the sample as a set of homogeneous sub-sections with a local orientation of anisotropy. In previous work, S. Deydier has shown that the piecewise description remains valid for complex shapes described in the Cartesian basis [3]. But it appears that this generates some numerical artifacts due to fictive interfaces, which can be critical for cases with a strong local elastic gradient.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…These structures exhibit a strong anisotropy between the axis and the plane of the stack. Previous works concerning beam calculation in CFRP were already implemented in CIVA [1], [2], [3]. The approach is based on the search of equivalent energy direction through the stacking sequence of the layered structure.…”

Section: Introductionmentioning

confidence: 99%

“…The equivalent mechanical properties of the effective medium are deduced from the equivalent energy direction. In the case of complex geometries, the only way to model beam propagation is to divide the component into a set of homogeneous sub-sections with a local disorientation following the geometry [3]. In the case of curved composites, this approximation can be used but leads to some numerical artefacts due to the presence of fictive interfaces.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Simulation of ultrasonic inspection of composite using bulk waves: Application to curved components

Journiac¹,

Leymarie²,

Domínguez³

et al. 2011

J. Phys.: Conf. Ser.

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The increasing use of composite materials in aircraft, particularly carbon-fiber reinforced samples, presents new challenges for Non-Destructive Testing (NDT) operations to ensure reliable inspections. The aircraft industry is showing a growing interest in the simulation of NDT techniques applied to such materials, which exhibit strong anisotropy. Simulation tools are needed to predict beam deviations that may arise for curved or tilted parts in complex specimen. A main issue is the modelling of the wave propagation and flaw scattering inside a homogeneous medium considering a continuously variable anisotropic orientation. Previous works have presented a way to model these media. This method consists in decomposing them into a set of homogeneous subsections with constant orientations. This approximation allows us to use straight paths over homogeneous sections but the main drawback is that it introduces artificial boundaries leading to numerical instabilities. The new model deals with a continuously variable anisotropy. It is based on a ray calculation for an inhomogeneous medium using an iterative time-step method. This method consists in solving for each time step a system of differential equations taking into account the continuous anisotropic orientation variation along the trajectory.

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Section: (A) (B)mentioning

confidence: 71%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Simulation of ultrasonic inspection of composite using bulk waves: Application to curved components

Journiac¹,

Leymarie²,

Domínguez³

et al. 2011

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…That is why a homogenization procedure must be applied [3]. Effective stiffness constants for a given laminate are obtained by synthesizing an effective slowness surface deduced from ray tracing modeling (Figure 1.).…”

Section: Figurementioning

confidence: 99%

Hybrid ray-FDTD model for the simulation of the ultrasonic inspection of CFRP parts

Jezzine¹,

Ségur²,

Ecault³

et al. 2017

AIP Conference Proceedings

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Enhanced ultrasonic total focusing imaging of CFRP corner with ray theory-based homogenization technique

Luo

KANG

Cao

et al. 2023

Chinese Journal of Aeronautics

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Modeling of the Ultrasonic Propagation into Carbon-Fiber-Reinforced Epoxy Composites, Using a Ray Theory Based Homogenization Method

Cited by 14 publications

References 0 publications

Simulation of ultrasonic inspection of composite using bulk waves: Application to curved components

Simulation of ultrasonic inspection of composite using bulk waves: Application to curved components

Hybrid ray-FDTD model for the simulation of the ultrasonic inspection of CFRP parts

Enhanced ultrasonic total focusing imaging of CFRP corner with ray theory-based homogenization technique

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