Harmonic waves in layered transversely isotropic composites

Nemat‐Nasser, Sia; Yamada, Mamoru

doi:10.1016/0022-460x(81)90365-5

Cited by 20 publications

(8 citation statements)

References 9 publications

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“…The present approach can be extended to establish the critical buckling loads in composites with anisotropic layers, anisotropic fibers and in short-fiber composites. For periodically laminated composites with transversely isotropic layers, orthotropic layers and layers of monoclinic symmetries, exact dispersion relations have been presented by Nemat-Nasser and Yamada (1981), Yamada and Nemat-Nasser (1987) and Nayfeh (1991), respectively. Furthermore, it is possible to utilize the instantaneous properties of the inelastic phases in order to determine the corresponding buckling loads of inelastic composites.…”

Section: Discussionmentioning

confidence: 98%

Buckling analysis of fibers in composite materials by wave propagation analogy

Aboudi¹,

Gilat²

2006

International Journal of Solids and Structures

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The analogy between the governing equations for the analysis of buckling in elastic structures and the elastodynamic equations of motion for wave propagation is presented. By employing this analogy, the exact and approximate buckling stresses of periodic layered materials and continuous fiber composites, respectively, are established. This is performed by utilizing micromechanically based dispersion relations for elastic wave propagating in the composite materials, which provide for a given wave length the corresponding phase velocity. By a specific change of variables in these dispersion relations, the corresponding buckling stresses can be determined. Results are presented and compared with solutions based on the mechanics of materials approach as well as with the well known RosenÕs fiber buckling predictions.

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Section: Discussionmentioning

confidence: 98%

Buckling analysis of fibers in composite materials by wave propagation analogy

Aboudi¹,

Gilat²

2006

International Journal of Solids and Structures

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“…Meanwhile, the advent of advanced fiber-reinforced composite materials in the mid-20th century motivated researchers to investigate the bandgap formation of multilayered anisotropic media. [19][20][21][22][23][24] Among others, Braga and Herrmann 25 formulated the characteristic equation of Floquet waves propagating in infinitely stratified anisotropic layers by combining the Stroh formalism 26 with the Floquet theorem. They elucidated the band structure, namely, the dispersion relation of Floquet waves, of an infinite structure with cross-ply layering.…”

Section: Introductionmentioning

confidence: 99%

Ultrasonic wave transmission and bandgap in multidirectional composite laminates with spring-type interlayer interfaces

Ishii

Biwa

2017

The Journal of the Acoustical Society of America

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The ultrasonic wave transmission through multidirectional composite laminates is studied theoretically by accounting for the effect of thin interlayer resin-rich regions based on the spring-type interface model. Using the stiffness-matrix method, the energy transmission spectrum of the longitudinal wave impinging obliquely on cross-ply and quasi-isotropic laminates immersed in water is calculated. The location and bandwidth of the frequency ranges where the transmissivity becomes vanishingly small are shown to be significantly influenced by the incident angle, the laminate lay-up, and the interlayer interfacial stiffnesses. By examining the energy flux density of partial waves inside the laminate, these frequency ranges are shown to be the bandgaps due to the constructive interference of scattered waves from the interlayer interfaces. The mode combination causing the interference is found to vary remarkably with the bandgap location. Furthermore, the interference in the finite laminate structure is shown to occur in almost the same manner as the Floquet wave does in the infinitely extended laminate structure. The energy transmission spectrum is experimentally measured for 16-ply carbon/epoxy cross-ply and quasi-isotropic composite laminates using the through-transmission technique. The transmission and bandgap characteristics observed in the experimental results are reasonably reproduced by the present theory incorporating the interlayer resin-rich regions.

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“…The effective modulus theory is based on the assumption that the layered medium behaves on the whole as a homogeneous but transversely isotropic continuum. Harmonic waves in composites with isotropic layers were also studied by Stern et al (1971), Hegemier and Nayfeh (1973), Hegemier and Bathe (1973), Drumheller and Bedford (1973) and Nemat-Nasser and Yamada (1981). Transient plane waves propagating in a periodically layered elastic medium were examined by Ting and Mukunoki (1979), Mukunoki and Ting (1980) and Tang and Ting (1985).…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in layered elastic media for antiplane deformation

Huang

1995

International Journal of Solids and Structures

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Harmonic waves in layered transversely isotropic composites

Cited by 20 publications

References 9 publications

Buckling analysis of fibers in composite materials by wave propagation analogy

Buckling analysis of fibers in composite materials by wave propagation analogy

Ultrasonic wave transmission and bandgap in multidirectional composite laminates with spring-type interlayer interfaces

Wave propagation in layered elastic media for antiplane deformation

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