Approximate phase speed of Lamb waves in a composite plate reinforced with strong fibres

Milosavljević, Dragan; Žmindák, Milan; Dekýš, Vladimír; Radaković, Aleksandar; Čukanović, Dragan

doi:10.1007/s10665-021-10147-x

Cited by 5 publications

(5 citation statements)

References 12 publications

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“…where material constants a ij may be obtained from relations (12) in accord with limiting process ( 6) and (7), as follows:…”

Section: Governing Equationsmentioning

confidence: 99%

“…To satisfy the boundary condition with zero shear stress, it is necessary to postulate the existence of singular fibres at the upper and lower boundaries. A detailed account of that can be found in previous works [4][5][6][7][8][9][10][11]. The remaining boundary condition (26) 1 has the solution…”

Section: Inextensible Fibresmentioning

confidence: 99%

“…In order to satisfy the boundary conditions, of the zero shear stress on the boundaries, we postulate the existence of singular fibres within or on the boundary of the plate as it is described in previous works [4–11]. Therefore, we allow the possibility of singular surfaces x 1 = const . , across which the shear stress components σ 12 and σ 13 can be discontinuous with an associated singularity in the reaction stresses.…”

Section: Dispersion Relations Of a Layer Reinforced By Two Families O...mentioning

confidence: 99%

“…Reinforcement with two families of mechanically equivalent fibres implies that the material is orthotropic. Bulk waves in such materials were examined by Milosavljevic et al [6], approximate phase speed for a plate reinforced by one family of fibres is analysed by Milosavljevic et al [7], and the application of higher order shear deformation theory is demonstrated by Radakovic et al [8]. General dispersion relations are given by Milosavljevic et al [9].…”

Section: Introductionmentioning

confidence: 99%

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Approximate Lamb waves in a composite plate reinforced by two families of fibres

Milosavljević

Radaković

Čukanović³

2022

Mathematics and Mechanics of Solids

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Here, we examine Lamb waves, propagating parallel to plate surfaces, reinforced by two families of strong straight fibres. Since fibres are much stronger than the matrix, anisotropic properties are highly emphasized. Coordinate-free constitutive relations give a possibility to consider fibres embedded in such materials as extensible or inextensible. When constraints of inextensibility are imposed on fibres, the so-called constrained fibre-reinforced material may be obtained from materials with extensible fibres in a limiting process. Often used to represent such materials is an epoxy resin carbon fibres composite whose material constants, for materials reinforced by one family of fibres, are determined with ultrasound methods. In the plate, reinforced by two families of fibres, of finite thickness, examined here, waves propagate as dispersive either as bending waves or extensional waves. The plate made of the described materials shows some interesting dynamic properties in the propagation of elastic waves. We apply the perturbation method, in particular the matched composite expansion, to examine plane wave propagation. Some interesting results of dynamic behaviour when a material has strong anisotropy will be displayed.

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“…where material constants a ij may be obtained from relations (12) in accord with limiting process ( 6) and (7), as follows:…”

Section: Governing Equationsmentioning

confidence: 99%

Section: Inextensible Fibresmentioning

confidence: 99%

Section: Dispersion Relations Of a Layer Reinforced By Two Families O...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Approximate Lamb waves in a composite plate reinforced by two families of fibres

Milosavljević

Radaković

Čukanović³

2022

Mathematics and Mechanics of Solids

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“…where: d − a plate thickness, k -wavenumber, α and β -calculation coefficients dependent on extensional, transverse and phase velocities respectively [14].…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Lamb Wave Propagation in Composite Plate with Different Fiber Orientation Angles – Acoustic Emission Approach

Rzeczkowski

2023

Adv. Sci. Technol. Res. J.

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This paper aims at numerical finite element (FEM) research of guided Lamb waves propagation in multidirectional composite plates. All simulations were conducted in the Abaqus/CAE software by using the dynamic/explicit solver. The material considered in this work was carbon/epoxy composite laminate with [90⁰/θ/θ/θ/-θ/-θ/-θ/90⁰] stacking sequence where θ set was equal 0⁰, 30⁰, 45⁰, 60⁰ and 90⁰. The main goal of the analysis was to evaluate the influence of fiber orientation angles θ on propagation behavior of the separate symmetric S 0 and asymmetric A 0 Lamb wave modes. Numerical model was created by using the C3D8R brick element. The Lamb waves were generated by using concentrated force with 200 kHz frequency. The acoustic signal generated by travelling wave was registered at two nodes that representthe acoustic emission sensors. Obtained results were presented in tabular form where separate mode velocities were collected and on the normalized displacement versus time plots depicted registered wave signals. In addition, the contour diagrams and through-thickness deformations plots were created to present behavior of the extensional and the flexural modes. The greatest value of the S 0 mode velocity was obtained for unidirectional laminates whereas the lowest for composite plate with 45⁰ fiber orientation angle. The asymmetric mode found to generate slightly greater deformation of plate in XZ plane than the symmetric. Recognition of the Lamb wave behavior in multidirectional laminates will allow to better planning the experimental acoustic emission tests.

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Approximate boundary conditions for a Mindlin–Timoshenko plate surrounded by a thin layer

Madjour,

Rahmani

2024

J Eng Math

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Approximate phase speed of Lamb waves in a composite plate reinforced with strong fibres

Cited by 5 publications

References 12 publications

Approximate Lamb waves in a composite plate reinforced by two families of fibres

Approximate Lamb waves in a composite plate reinforced by two families of fibres

Numerical Analysis of Lamb Wave Propagation in Composite Plate with Different Fiber Orientation Angles – Acoustic Emission Approach

Approximate boundary conditions for a Mindlin–Timoshenko plate surrounded by a thin layer

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