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Dynamic interface behaviour of a bi-material poroelastic cracked plate

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Abstract

The interface fracture behaviour of a bi-material poroelastic plate with normal to the interface surface-breaking pre-crack with crack-tip approaching the interface subjected to time-harmonic uniaxial uniform load is considered. A viscoelastic isomorphism to Biot’s dynamic poroelasticity is applied to describe the soil material properties, thus replacing the original two-phase poroelastic material by a single-phase viscoelastic one of Kelvin–Voigt type. A viscoelastic shear-lag model for one-dimensional stress–strain state with analytically derived solution for the length of the delamination zone along the interface is proposed. The parametric analysis demonstrates that the debonding length is sensitive to the following key factors: (a) frequency and magnitude of the applied load; (b) material and geometric characteristics; (c) soil porosity as respected soil type; and (d) soil saturation—dry or saturated soils.

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Authors and Affiliations

  1. Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl.4, 1113, Sofia, Bulgaria

    Gergana Nikolova, Jordanka Ivanova & Petia Dineva

  2. Institute of Applied Geoscience, Christian-Albrecht’s University of Kiel, Platz 4, 24118, Kiel, Germany

    Frank Wuttke

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  1. Gergana Nikolova
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  2. Jordanka Ivanova
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  3. Frank Wuttke
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  4. Petia Dineva
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Correspondence to Gergana Nikolova.

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Nikolova, G., Ivanova, J., Wuttke, F. et al. Dynamic interface behaviour of a bi-material poroelastic cracked plate. Arch Appl Mech 87, 1199–1211 (2017). https://doi.org/10.1007/s00419-017-1241-1

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