Influence of principal material directions of thin orthotropic structures on Rayleigh-edge wave velocity

Červ, Jan; Kroupa, Tomáš; Trnka, Ján

doi:10.1016/j.compstruct.2009.09.001

Cited by 15 publications

(25 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If B 11 = B 22 (⇔ E 1 = E 2 ), then in addition, the lines θ = π/4 and θ = 3π/4 are symmetry axes of the curve c R = c R (θ) in the interval [0, π/2] and [π/2, π], respectively, by the second of (35). With this fact now we can understand why the curves c R = c R (θ) in the figures 14, 15, 18, 19 in [6] have the symmetry axis θ = π/2 in the interval [0, π], while the curves c R = c R (θ) in the figures 16, 17, 20, 21 in [6] have the symmetry axis θ = π/4 in the interval [0, π/2] and the symmetry axis θ = 3π/4 in the interval [π/2, π], in addition.…”

Section: Remarkmentioning

confidence: 84%

“…From it we immediately obtain the secular equation for the case when the cut surface is parallel to the fiber direction. This secular equation is a cubic equation in terms of squared velocity, and it is much more simple than the ones obtained recently by Cerv [5] and Cerv et al [6]. Some approximate formulas for the velocity of Rayleigh waves are established for the case when the cut surface is parallel or perpendicular to the fiber direction, and it is shown that they are good approximations.…”

Section: Introductionmentioning

confidence: 90%

“…where B ij are material (stiffness) coefficients which can be expressed in terms of the engineering constants (Young's and shear moduli, Poisson's ratios) as [1,6]…”

Section: Basic Equationsmentioning

confidence: 99%

“…As examples, we apply the secular equation (36) to draw the curves x = x(θ) for the materials: SE84LV and Fibredux whose material constants are listed in Table 1 in Ref. [6]. These curves are presented in Figs.…”

Section: Remarkmentioning

confidence: 99%

See 3 more Smart Citations

An explicit secular equation of Rayleigh waves propagating along an obliquely cut surface in a directional fiber-reinforced composite

Vinh

Linh

2012

Vietnam J. Mech.

View full text Add to dashboard Cite

The propagation of Rayleigh waves along an obliquely cut surface in a directional fiber-reinforced composite was studied recently by Ohyoshi [Ohyoshi T. Compos Sci Technol 2000; 60; 2191-6]. The author derived the secular equation of the wave, however, it is still implicit. In this paper, a fully explicit secular equation of the wave is obtained by using the method of first integrals. From it we immediately arrive at the secular equation of the wave for the case when the cut surface is parallel to the fiber direction. This secular equation is much more simple than the ones obtained recently by Cerv [Cerv J. Int Rev Mech Eng (IREME) 2008; 2; 762-72] and Cerv et al. [Cerv J et al. Composite Structures 2010; 92; 568-77]. Based on the obtained secular equations some approximate formulas for the velocity of Rayleigh waves are established and it is shown that they are good approximations. The explicit secular equations and the approximate formulas for the velocity derived in this paper are useful for analyzing the effect of the material properties and the orientation of the fiber direction on the Rayleigh wave velocity, especially they are powerful tools for solving the inverse problem: determining the material parameters from the measured values of the velocity.

show abstract

Section: Remarkmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 90%

“…where B ij are material (stiffness) coefficients which can be expressed in terms of the engineering constants (Young's and shear moduli, Poisson's ratios) as [1,6]…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

See 2 more Smart Citations

An explicit secular equation of Rayleigh waves propagating along an obliquely cut surface in a directional fiber-reinforced composite

Vinh

Linh

2012

Vietnam J. Mech.

View full text Add to dashboard Cite

show abstract

“…In future work, we will focus on modelling of elastic wave propagation in two-and three-dimensional specimens composed by heterogeneous and anisotropic materials with a special attention on Rayleigh-edge waves [39] and wave propagation in metamaterials [40] and piezomaterials [41].…”

Section: Discussionmentioning

confidence: 99%

Full field computing for elastic pulse dispersion in inhomogeneous bars

Berezovski

Kolman

Berezovski

et al. 2018

Composite Structures

View full text Add to dashboard Cite

In the paper, the finite element method and the finite volume method are used in parallel for the simulation of a pulse propagation in periodically layered composites beyond the validity of homogenization methods. The direct numerical integration of a pulse propagation demonstrates dispersion effects and dynamic stress redistribution in physical space on example of a one-dimensional layered bar. Results of numerical simulations are compared with analytical solution constructed specifically for the considered problem. Analytical solution as well as numerical computations show the strong influence of the composition of constituents on the dispersion of a pulse in a heterogeneous bar and the equivalence of results obtained by two numerical methods.

show abstract

The Detection of Impact Damage to the Edges of CFRP Plates Using Extensional Ultrasonic Edge Waves

Chu

Courtney

2021

J Nondestruct Eval

View full text Add to dashboard Cite

Extensional edge waves propagate along the edges of plates, with low attenuation in the propagation direction and amplitude decreasing rapidly (within one or two wavelengths) in the direction perpendicular to the plate edge. This makes them an ideal candidate for inspecting the edges of plate-like structures. Here, finite-element models and experiments are used to investigate the propagation and scattering of extensional edge waves in composite plates and application to damage detection is demonstrated. Piezoceramic transducers attached to the edge of a 4-mm-thick carbon-fibre-reinforced polymer (CFRP) plate were used to excite 140-kHz edge waves and damage detection demonstrated using two experimental configurations: pitch-catch and two-transducer pulse-echo. Damage due to edge-on impacts of 5 J and 10 J were detected in both configurations. A mass-addition damage model was used to investigate the effect of damage location. Detection was specific to damage within 33 mm (1.5 wavelengths) of the plate edge with propagation unaffected by features beyond that distance. The time of arrival of reflected signals in pulse-echo mode was accurately predicted using the edge-wave group velocity indicating that this configuration can be used for locating damage on edges. The localisation of edge waves means that they can specifically detect damage at the edges of structures, and attenuation measurements indicate that their useful propagation distance is large (5.5 m).

show abstract

Influence of principal material directions of thin orthotropic structures on Rayleigh-edge wave velocity

Cited by 15 publications

References 16 publications

An explicit secular equation of Rayleigh waves propagating along an obliquely cut surface in a directional fiber-reinforced composite

An explicit secular equation of Rayleigh waves propagating along an obliquely cut surface in a directional fiber-reinforced composite

Full field computing for elastic pulse dispersion in inhomogeneous bars

The Detection of Impact Damage to the Edges of CFRP Plates Using Extensional Ultrasonic Edge Waves

Contact Info

Product

Resources

About