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Path-Integrated Ultrasonic Attenuation Modeling for Concrete with Random Aggregates Based on Modified Waterman-Truell

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This study introduces a new model for ultrasonic attenuation in concrete, improving predictions for heterogeneous structures. The framework accurately captures how aggregate distribution affects wave propagation, enhancing concrete characterization.

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Area of Science:

  • Materials Science
  • Civil Engineering
  • Acoustics

Background:

  • Ultrasonic sensing is vital for concrete characterization.
  • Quantitative interpretation of ultrasonic attenuation is hindered by scattering and non-uniformity caused by aggregates.

Purpose of the Study:

  • To develop a path-integrated ultrasonic attenuation modeling framework for concrete with random aggregates.
  • To improve the accuracy of ultrasonic sensing in heterogeneous concrete structures.

Main Methods:

  • Coupling a discretized wave equation with a modified Waterman-Truell effective medium theory.
  • Incorporating a Percus-Yevick structure factor and geometric equivalence for non-spherical aggregates to correct multiple scattering.
  • Discretizing the propagation path into layers for explicit path integration and capturing spatial variations in aggregate volume fraction.

Main Results:

  • Experimental validation using low-frequency ultrasonic transmission (25 kHz) on concrete specimens.
  • Observed pronounced path-dependent attenuation behavior influenced by local aggregate distribution.
  • Achieved a mean absolute percentage error of 7.29%, significantly outperforming classical models.

Conclusions:

  • The proposed framework offers a physically interpretable and experimentally validated method for ultrasonic sensing of heterogeneous concrete.
  • The model accurately accounts for aggregate-induced scattering and spatial non-uniformity.
  • Potential applications include non-destructive evaluation and structural health monitoring of concrete structures.