Simulation of Rayleigh waves in cracked plates |
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Authors: | M T Cao C Moreno P Quintela |
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Institution: | 1. Department of Applied Mathematics, University of Santiago de Compostela, SpainDepartment of Applied Mathematics, University of Santiago de Compostela, Spain===;2. Department of Statistics OR and Numerical Analysis, Universidad Nacional de Educación a Distancia, Spain;3. Department of Applied Mathematics, University of Santiago de Compostela, Spain |
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Abstract: | The aim of this paper is to develop new numerical procedures to detect micro cracks, or superficial imperfections, in thin plates using excitation by Rayleigh waves. We shall consider a unilateral contact problem between the two sides of the crack in an elastic plate subjected to suitable boundary conditions in order to reproduce a single Rayleigh wave cycle. An approximate solution of this problem will be calculated by using one of the Newmark methods for time discretization and a finite element method for space discretization. To deal with the nonlinearity due to the contact condition, an iterative algorithm involving one multiplier will be used; this multiplier will be approximated by using Newton's techniques. Finally, we will show numerical simulations for both cracked and non‐cracked plates. Copyright © 2006 John Wiley & Sons, Ltd. |
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Keywords: | cracked plates Rayleigh waves elastodynamic contact Signorini's conditions Newmark methods finite element methods |
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