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FEM simulation of an integrated longitudinal and tangential wave probe
Hora, Petr ; Červená, Olga
The aim of contribution is the finite element modeling of integrated longitudinal and shear wave probe. This type of probe was investigated by Cheng-Kuei Jen and Makiko Kobayashi in Jen (2007). Finite element calculations are performed in the commercial environment COMSOL Multiphysics. The ultrasonic transducer excitation was modeled as total force load. The received ultrasonic signal was obtained by integration of velocities at place of ultrasonic transducer. Though these simplifications the resulting ultrasonic signals are in good agreement with results presented by Cheng-Kuei Jen and Makiko Kobayashi.
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The derivation of dispersion relations for anisotropic thick plates in system Maple
Červená, Olga ; Hora, Petr
The dispersion relations for cubic and orthotropic thick plates, which were derived in system MAPLE, are summarized in the report. The report contains listings of two programs in Maple. The form of Christoffel equation, forms of its roots and polarizations of partial waves for cubic and orthotropic thick plates are derived in first of them. The forms of dispersion relations of symmetric, anti-symmetric, SH-modes and Mindlin’s uncoupled modes for cubic and orthotropic plates are derived in second program. The report is deal with interpretation of the false roots, which are occurred at computing the dispersion relations. The outcome dispersion curves computing by MATLAB are displayed in the conclusion.
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Vliv Mindlinových okrajových podmínek na šíření vln v tlusté anizotropní desce
Červená, Olga ; Hora, Petr
This paper deals with analytical formulation of dispersion curves for stress waves in a free (001)-cut cubic and orthotropic plate. The direction of wave propagation is arbitrary. The dispersion curves for Cu and carbon reinforced composite are presented. These results are compared to the uncoupled Mindlin modes. This work is very important for determination of the elastic coefficients of anisotropic materials.
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Dispersion curves in plate of cubic anisotropy
Hora, Petr ; Červená, Olga
The mathematical technique for obtaining dispersion curves for stresswaves in free plates of arbitrary anisotropy is outlined. The dispersion relations forpropagation in a (001)-cut cubic plate are obtained. The dispersion curves for Cuare presented. These results are compared to the uncoupled SV and P modes.
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Elastic waves in anisotropic plates
Hora, Petr ; Červená, Olga
Contributiondeals with description of general solution procedure of wave propagation inunbounded media, on the surface of a half-space and in an infinitely wideplate for anisotropic material. The algorithms of solution procedure for allof these cases are presented here.
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