Influence of fiber orientation on reflection and attenuation phenomenon in fiber-reinforced viscoelastic medium

Nain, Suman; Guha, Sayantan

doi:10.1007/s00419-023-02422-3

Cited by 4 publications

(2 citation statements)

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“…It is immaterial whether this anisotropy is inherent or caused by the presence of reinforced fibres, microcracks or prestress. In man-made structures and composite materials, such anisotropy may be induced by the reinforced fibres [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

“…The resulting elastic tensor may have anisotropic symmetries depending upon the arrangements and categories of reinforced fibres. Mathematically, to implement anisotropic elastic symmetries, coordinate system is chosen with axes along fibre directions [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Else, the general (triclinic) anisotropy results from the presence of fibres, which are obliquely inclined to the coordinate axes [15].…”

Section: Introductionmentioning

confidence: 99%

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Influence of orientation of fibres on surface wave in fibre‐induced anisotropic elastic medium

Sharma

2023

Z Angew Math Mech

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An isotropic elastic solid reinforced with a family of parallel fibres behaves anisotropic to any deformation. With orientation of all fibres along a coordinate axis in rectangular Cartesian system, this anisotropy reduces to transverse isotropy. Else with arbitrary orientation of fibre‐family, induced anisotropy lacks any symmetry. In this composite medium with arbitrary anisotropy, three‐dimensional wave motion decaying with depth propagates as a surface wave along all directions on plane boundary. Real phase velocity for this surface wave lies implicit in a system of three equations with complex coefficients. An appropriate transformation of this system yields a real characteristic equation, which is solved to get the anisotropic phase velocity of generalised surface wave. This phase velocity defines a complex slowness vector, which is used to calculate the particle motion at any point in the medium. Effects of fibre‐orientation are analysed, numerically, on the phase velocity and polarisation of surface wave. For example, in the reinforced fibres alters the contours of particle motion through increased ellipticity. However, in the presence of fibres, the decay of particle motion with depth slows down.

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Section: Introductionmentioning

confidence: 99%