TY - JOUR
T1 - Modeling of wave propagation in polycrystalline ice with hierarchical density gradients
AU - Ghanbari, Farshad
AU - Rodriguez, Eduardo G.
AU - Millán, Daniel
AU - Simonetti, Francesco
AU - Argüelles, Andrea P.
AU - Peco, Christian
N1 - Publisher Copyright:
© 2023 Elsevier B.V.
PY - 2023/5/1
Y1 - 2023/5/1
N2 - Polycrystalline solids are composed of many small grains of varying sizes and crystallographic orientations. An elastic wave that propagates through such a material experiences distortion and attenuation. While the influence on propagation in random configurations can be captured with conventional statistical descriptors, the role of second-order features such as the hierarchical gradient in material properties has not been explored. In this paper, we optimize a numerical strategy based on Finite Elements and Local Max-Entropy approximants to characterize the role of grain density gradients on ultrasonic attenuation. We focus on ice as a model for mesoscale ordered configurations due to its relevance to the emerging technology of cryoultrasonics. Our simulations in one- and two-dimensional settings indicate that second-order descriptors are required to predict attenuation in polycrystalline ice. Furthermore, we define a novel parameter, based on the standard deviation of the speed of sound gradient distribution, which shows a quadratic relationship with the ultrasonic attenuation. The model results can be understood as a phase diagram for the design of metamaterials with specific ultrasonic scattering properties.
AB - Polycrystalline solids are composed of many small grains of varying sizes and crystallographic orientations. An elastic wave that propagates through such a material experiences distortion and attenuation. While the influence on propagation in random configurations can be captured with conventional statistical descriptors, the role of second-order features such as the hierarchical gradient in material properties has not been explored. In this paper, we optimize a numerical strategy based on Finite Elements and Local Max-Entropy approximants to characterize the role of grain density gradients on ultrasonic attenuation. We focus on ice as a model for mesoscale ordered configurations due to its relevance to the emerging technology of cryoultrasonics. Our simulations in one- and two-dimensional settings indicate that second-order descriptors are required to predict attenuation in polycrystalline ice. Furthermore, we define a novel parameter, based on the standard deviation of the speed of sound gradient distribution, which shows a quadratic relationship with the ultrasonic attenuation. The model results can be understood as a phase diagram for the design of metamaterials with specific ultrasonic scattering properties.
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U2 - 10.1016/j.finel.2023.103916
DO - 10.1016/j.finel.2023.103916
M3 - Article
AN - SCOPUS:85147255994
SN - 0168-874X
VL - 217
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
M1 - 103916
ER -