Modeling lamb wave propagation in visco-elastic composite plates using a fifth-order plate theory
| Autor: | Adil Han Orta, Wim Van Paepegem, Nicolaas B. Roozen, Koen Van Den Abeele, Mathias Kersemans, Jeroen Vandendriessche |
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| Rok vydání: | 2020 |
| Předmět: |
Technology
Acoustics and Ultrasonics STIFFNESS MATRIX-METHOD Structural Health Monitoring (SHM) Orthotropic material 01 natural sciences Lamb waves 0103 physical sciences Dispersion (water waves) LAMINATED COMPOSITE 010301 acoustics Composites Viscoelastic materials 010302 applied physics Physics Science & Technology Radiology Nuclear Medicine & Medical Imaging Mathematical analysis Acoustics Elasticity (physics) Composite laminates Finite element method Plate theory HIGHER-ORDER THEORY Higher order plate theory Polar coordinate system Life Sciences & Biomedicine ANISOTROPIC MEDIA |
| Zdroj: | Ultrasonics. 116 |
| ISSN: | 1874-9968 |
| Popis: | A new extension of the shear deformation theory to fifth order in order to calculate the spectrum of Lamb waves in orthotropic media over a wide frequency range is developed and analyzed. The aspiration of the proposed method is to create an alternative framework to exhaustive 3D elasticity based solutions by increasing computational efficiency without losing accuracy, nor robustness. A new computational framework is introduced which allows to estimate the dispersion curves for the first nine symmetric and nine anti-symmetric Lamb modes. Analytically calculated dispersion curves using 5-SDT for different propagation directions and polar plots for selected frequency of different materials are compared with the results from both the semi analytical finite element method, and lower order shear deformation theories. Careful analysis for individual laminae and for symmetric composite laminates exhibits a good agreement between the new higher order plate theory and the semi analytical finite element method over an extensive frequency range. In addition, attenuation plots show that the proposed method can also be used for visco-elastic materials (or highly damped materials). The advantage of the new higher order plate theory and its numerical implementation is that it is much more computationally efficient compared to comprehensive methods as Lamb wave polar plots of composite plates as function of incidence angle, polar angle and frequency can be calculated in less than a second on a standard laptop. Consequently, the use of this framework in inversion routines opens up the possibility of quasi real-time Structural Health Monitoring for visco-elastic composites covering a sufficiently wide frequency range. ispartof: ULTRASONICS vol:116 ispartof: location:Netherlands status: published |
| Databáze: | OpenAIRE |
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