Effect of the compliant interlayer on the dynamic stress intensity factor in a piecewise-homogeneous solid with a circular crack

V. V. Mikhas'kiv, I. Ya. Zhbadynskyi

Pidstrygach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, 79060, Ukraine

Abstract: The dynamic behavior of a circular crack in an elastic composite consisting of two dissimilar half-spaces connected by a thin compliant interlayer is studied. One half-space contains a defect aligned perpendicular to the interlayer; the defect surfaces are loaded by normal harmonic forces, which ensures the symmetry of the stress-strain state. The thin interlayer is modeled by conditions of a nonideal contact of the half-spaces. The problem is reduced to a boundary integral equation with respect to the function of dynamic opening of the defect. The numerical solution of this equation yields frequency dependences of the mode I stress intensity factor in the vicinity of the crack for different values of interlayer thickness and relations between the moduli of elasticity of the composite components.

Keywords: three-dimensional piecewise-homogeneous solid, thin compliant interlayer, circular crack, time-harmonic loading, stress intensity factors, method of boundary integral equations.

UDC: 539.3

Received: 06.03.2007
Accepted: 19.07.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2008, 49:3, 510–518

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