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

Giuseppe Alì, Francesco Demarco and Carmelo Scuro
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Giuseppe Alì: Department of Physics, University of Calabria, 87036 Rende, Italy
Francesco Demarco: Department of Physics, University of Calabria, 87036 Rende, Italy
Carmelo Scuro: Department of Physics, University of Calabria, 87036 Rende, Italy

Mathematics, 2022, vol. 10, issue 15, 1-14

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.

Keywords: acoustic emission; compression tests; microcrack formation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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