2017 # Analytical solution of some delamination scenarios in thick structural sandwich plates

**Abstract:** The first-, second-and third-order shear deformation plate theories are applied in this work to model thick rectangular sandwich plates with through-width delamination. The models are based on the concept of the four equivalent single layers and the system of exact kinematic conditions. Three different scenarios are considered: the failure of the core, the delamination between the top facesheet and the core, and finally, the case when the delamination takes place in the local midplane of the top facesheet. A g…

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“…Moreover, it makes it possible to reduce the number of displacement parameters and the mathematical size of the problem. It should be mentioned that if the mismatch between the shear moduli of adjacent layers is relatively large, as it is in the case of softcore sandwich plates, then this condition should be ignored [21]. The oscillations in the shear strain distribution can be reduced by ensuring continuous shear strain derivatives at interface surfaces 1-2 and 3-4: (1) , ∂γ 2ζ(1) ∂ζ (1) ζ (1)…”

confidence: 99%

“…Moreover, it makes it possible to reduce the number of displacement parameters and the mathematical size of the problem. It should be mentioned that if the mismatch between the shear moduli of adjacent layers is relatively large, as it is in the case of softcore sandwich plates, then this condition should be ignored [21]. The oscillations in the shear strain distribution can be reduced by ensuring continuous shear strain derivatives at interface surfaces 1-2 and 3-4: (1) , ∂γ 2ζ(1) ∂ζ (1) ζ (1)…”

confidence: 99%

“…Subscript u and v indicates the corresponding direction (ξ 1 or ξ 2 ); finally, w (i) (ξ 1 , ξ 2 ) = w(ξ 1 , ξ 2 ) for each ESLs, i.e., the transverse normal of each ESL is inextensible [14]. Equations (10)-(11) can be obtained by parameter elimination [21]. It is important to note that the size and the elements of ψ depend on the applied theory, the number of ESLs and the number of conditions applied.…”

confidence: 99%