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Propagation of Elastic Waves in Homogeneous Media: 2D Numerical Simulation for a Concrete Specimen

Author

Listed:
  • Giuseppe Alì

    (Department of Physics, University of Calabria, 87036 Rende, Italy
    National Institute for Nuclear Physics (INFN), Associated Group of Cosenza, Arcavacata di Rende, 87036 Cosenza, Italy)

  • Francesco Demarco

    (Department of Physics, University of Calabria, 87036 Rende, Italy
    These authors contributed equally to this work.)

  • Carmelo Scuro

    (Department of Physics, University of Calabria, 87036 Rende, Italy
    These authors contributed equally to this work.)

Abstract

This paper addresses the theoretical foundation of a localization method for crack detection in a concrete sample based on the time of arrival of the elastic wave generated by the crack formation to a group of sensors positioned on the boundary of the sample. The equations of motion for the elastic waves are carefully presented, including a body force term which accounts for the sudden formation of a crack. Then, a localization method based on the detection of acoustic emissions, and specifically on their arrival times, is described. Finally, a discretization scheme for the 2D equations of elasticity is developed, and some numerical experiments are performed to assess the validity of the method.

Suggested Citation

  • Giuseppe Alì & Francesco Demarco & Carmelo Scuro, 2022. "Propagation of Elastic Waves in Homogeneous Media: 2D Numerical Simulation for a Concrete Specimen," Mathematics, MDPI, vol. 10(15), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2673-:d:875197
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