Modeling of wave propagation in polycrystalline ice with hierarchical density gradients

Farshad Ghanbari, Eduardo G. Rodriguez, Daniel Millán, Francesco Simonetti, Andrea P. Argüelles, Christian Peco

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish (US)
Article number103916
JournalFinite Elements in Analysis and Design
StatePublished - May 1 2023

All Science Journal Classification (ASJC) codes

  • Analysis
  • General Engineering
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics


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