Effective elastic properties of layered composites under imperfect adhesion

1Khoroshun, LP
1Levchuk, OI
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2019, 5:56-66
https://doi.org/10.15407/dopovidi2019.05.056
Section: Mechanics
Language: Russian
Abstract: 

The problem of the effective elastic properties of a layered composite material of a stochastic structure with imperfect adhesion, which is modeled by an interphase layer with defects in the form of micropores, is considered. On the interfaces of the interphase layer with the layers of a filler and a matrix, perfect contact conditions are performed in the form of continuity of displacements and surface stresses. Interphase layers are considered as the third component, consisting of the surface layers of two components and the coupling coatings. The solution of the problem is based on stochastic differential equations of elasticity in displacements for a multicomponent composite material of the layered structure with isotropic and anisotropic components. On the basis of the solution, the effective properties of a three-component composite materials of the layered structure are investigated. The dependences of the effective elastic constants of the layered material with isotropic components on the volume content of a filler and the porosity of the interphase layer are constructed.

Keywords: effective elastic properties, imperfect adhesion, imperfect interface conditions, layered composite, porous interphase layers, stochastic equations
References: 

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