Propagation and scattering of ultrasonic waves in polycrystals with arbitrary crystallite and macroscopic texture symmetries

Li, J.; Rokhlin, S. I.

doi:10.1016/j.wavemoti.2015.05.004

Cited by 30 publications

(124 citation statements)

References 50 publications

(39 reference statements)

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“…This possibility has been recently shown to be feasible, and leads to measurements more accurate than those obtained with X-ray diffraction [20,21]. The multiple scattering theory of elastic waves has also been studied in relation to propagation in polycrystals [22][23][24] and composites [25,26].…”

Section: Introductionmentioning

confidence: 99%

Diffusion of elastic waves in a two dimensional continuum with a random distribution of screw dislocations

Churochkin

Lund

2017

Wave Motion

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Section: Introductionmentioning

confidence: 99%

Diffusion of elastic waves in a two dimensional continuum with a random distribution of screw dislocations

Churochkin

Lund

2017

Wave Motion

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“…propagating distance is set to 150mm, and the radial distance with available acoustic source of ultrasonic transducer is set to 10mm. By applying equations (2), (10), (13), (17), (21) and (22), the ultrasonic attenuation and the ultrasonic directivity can be obtained using this geometrical model.…”

Section: B Physical Configurationmentioning

confidence: 99%

“…[16][17][18][19][20] Ploix et al 16 used the experimental method and the simulation to investigate the measurement of ultrasonic scattering attenuation in austenitic stainless steel welds. Rokhlin et al 17 obtained the attenuation coefficients by solving Born approximation and Rayleigh equations to establish a scattering model, and researched the propagation and scattering of ultrasonic waves in polycrystals with arbitrary crystallite and macroscopic texture symmetries. Absorption is caused by the excitation of particles in medium.…”

Section: Introductionmentioning

confidence: 99%

A modified model for simulating the effect of temperature on ultrasonic attenuation in 7050 aluminum alloy

Han

Gong

et al. 2018

AIP Advances

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Knowing propagating properties of an ultrasonic wave can enhance the non-destructive testing techniques in alloy materials field, such as the electromagnetic acoustic transducer techniques, and the piezoelectric ultrasonic transducer techniques. When temperature is taken into consideration, the ultrasonic propagating attenuation become very complex process. In this paper, a loss factor coefficient function with change in temperatures is established and the loss factor damping model with temperature term is coupled into the equations of elastic wave motion. A modified frequency domain model for calculating the ultrasonic attenuation due to temperature changes in 7050 Aluminum alloy is then developed. The model is validated experimentally using a high power pulse transmitter/receiver RPR-4000, a resistant high temperature electromagnetic acoustic transducer set-up and a 7050 Aluminum alloy sample. The simulation and the experimental results are determined to be in good agreement. The numerical model is used to calculate the ultrasonic-waves field, the ultrasonic attenuation, and the ultrasonic propagation directivity considering the temperature effect. The modeling results indicate that the ultrasonic energy attenuation is significantly affected by temperature. When the temperature increases from 20 • C up to 480 • C, the ultrasonic energy attenuates by 32.31%. It is also found that the length of near acoustic field increases with the increase in temperature. There is a common basic mode for the attenuation of ultrasonic waves, in which the attenuated mode cannot be affected by other factors. Increasing the temperature or the frequency, the ultrasonic propagation can obtain an excellent directivity. Results obtained from the present model will provide a comprehensive understanding of design parameter effects and consequently improve the design/performance in the non-destructive testing techniques.

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“…For polycrystals with preferred crystallographic orientation, the Weaver model [5], Hireskorn model [4,30], and the Stanke and Kino model [3] have been extended to textured polycrystalline materials with crystallites of different symmetry classes and shapes by Refs. [6,[38][39][40][41]. However, the models in Refs.…”

Section: Introductionmentioning

confidence: 99%

Attenuation and Phase Velocity of Elastic Wave in Textured Polycrystals with Ellipsoidal Grains of Arbitrary Crystal Symmetry

Guo

2020

Acoustics

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This study extends the second-order attenuation (SOA) model for elastic waves in texture-free inhomogeneous cubic polycrystalline materials with equiaxed grains to textured polycrystals with ellipsoidal grains of arbitrary crystal symmetry. In term of this work, one can predict both the scattering-induced attenuation and phase velocity from Rayleigh region (wavelength >> scatter size) to geometric region (wavelength << scatter size) for an arbitrary incident wave mode (quasi-longitudinal, quasi-transverse fast or quasi-transverse slow mode) in a textured polycrystal and examine the impact of crystallographic texture on attenuation and phase velocity dispersion in the whole frequency range. The predicted attenuation results of this work also agree well with the literature on a textured stainless steel polycrystal. Furthermore, an analytical expression for quasi-static phase velocity at an arbitrary wave propagation direction in a textured polycrystal is derived from the SOA model, which can provide an alternative homogenization method for textured polycrystals based on scattering theory. Computational results using triclinic titanium polycrystals with Gaussian orientation distribution function (ODF) are also presented to demonstrate the texture effect on attenuation and phase velocity behaviors and evaluate the applicability and limitation of an existing analytical model based on the Born approximation for textured polycrystals. Finally, quasi-static phase velocities predicted by this work for a textured polycrystalline copper with generalized spherical harmonics form ODF are compared to available velocity bounds in the literature including Hashin–Shtrikman bounds, and a reasonable agreement is found between this work and the literature.

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Propagation and scattering of ultrasonic waves in polycrystals with arbitrary crystallite and macroscopic texture symmetries

Cited by 30 publications

References 50 publications

Diffusion of elastic waves in a two dimensional continuum with a random distribution of screw dislocations

Diffusion of elastic waves in a two dimensional continuum with a random distribution of screw dislocations

A modified model for simulating the effect of temperature on ultrasonic attenuation in 7050 aluminum alloy

Attenuation and Phase Velocity of Elastic Wave in Textured Polycrystals with Ellipsoidal Grains of Arbitrary Crystal Symmetry

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