Discrete and Continuous Dynamical Systems - Series S (DCDS-S)

Few remarks on the use of Love waves in non destructive testing

Pages: 427 - 444, Volume 9, Issue 2, April 2016      doi:10.3934/dcdss.2016005

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Philippe Destuynder - Département d'ingénierie mathématique, Conservatoire National des Arts et Métiers, 292, rue saint Martin, 75003 Paris, France (email)
Caroline Fabre - Laboratoire de mathématiques d'Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France (email)

Abstract: This paper concerns a theoretical study on the possibility of using Love waves for non destructive testing. A mathematical model is presented and analyzed. Several numerical tests are given in order to show the mechanical behaviour of this model.

Keywords:  Non destructive testing, wave equation, transparent boundary conditions, fracture mechanics, inverse problems.
Mathematics Subject Classification:  Primary: 35R30, 35L20, 35P05, 35B40; Secondary: 65N06, 65N12.

Received: January 2015;      Revised: October 2015;      Available Online: March 2016.