NONLINEARITIES IN THE MODELLING OF GUIDED WAVES IN PRESTRESSED PLATES

Abstract eng:
Wave propagation in experiments on prestressed waveguides points out the occurrence of phenomena requiring the accounting for nonlinear aspects in the model, for instance to describe the variation of wave propagation velocity as a function of the initial prestrain or the arising of resonant propagating waves [1]. Analytical models conventionally used in acoustoelasticity provide an interpretation of experimental results regarding bulk waves and are built so as to include different aspects [2, 3]. These are the fact that the initial strains can be finite, an appropriate third-order expression of the strain energy of the hyperelastic body describing material nonlinearities, as well as a formulation of balance equations considering that initial and final configurations are not merged. Based on these hypotheses, a model describing wave propagation on prestressed plate waveguides is proposed and used to sort out the role of the different aspects accounted for. This is done also by comparing analytical results to those of a finite element model. Rayleigh-Lamb waves and shear waves are considered separately for different cases of initial prestress, including: prestress in the direction of the wave propagation, prestress orthogonal to the direction of wave propagation, and plane isotropic stress [4].

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