Effect of the surface free energy on the behaviour of surface and guided waves |
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Authors: | Belloncle Valentina Vlasie Rousseau Martine |
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Affiliation: | aLaboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, UMR CNRS 7607 Case 162, 4 Place Jussieu, 75252 Paris Cedex 05, France bOffice National d’Etudes et de, Recherches Aérospatiales, 29 Avenue de la Division Leclerc, 92320 Chatillon, France |
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Abstract: | The aim of this paper is to evaluate the influence of the surface free energy upon the propagation of the eigenmodes of structures, by studying successively (a) the Rayleigh wave for an elastic half-space, (b) the Lamb waves for an elastic layer, and (c) the guided modes for a tri-layer structure (e.g., metal/adhesive/metal). The surface free energy is a parameter which appears in the jump conditions of stresses and displacements at each interface, and which consequently modifies the eigenmodes, solutions of the boundary conditions system. As expected, the Rayleigh wave is dispersive and its velocity increases when the surface free energy increases. In the same way, the velocity of Lamb waves also increases except at normal angle of propagation where the surface free energy does not arise. Moreover, near the Rayleigh angle, the behaviour of the A0 and S0 Lamb modes varies strongly according to the surface free energy. Similar results are observed for the tri-layer structure. |
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Keywords: | Rayleigh waves Lamb modes Guided eigenmodes Interface model Surface free energy |
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