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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 3, Pages 197–207
(Mi pmtf1922)
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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.
Received: 06.03.2007 Accepted: 19.07.2007
Citation:
V. V. Mikhas'kiv, I. Ya. Zhbadynskyi, “Effect of the compliant interlayer on the dynamic stress intensity factor in a piecewise-homogeneous solid with a circular crack”, Prikl. Mekh. Tekh. Fiz., 49:3 (2008), 197–207; J. Appl. Mech. Tech. Phys., 49:3 (2008), 510–518
Linking options:
https://www.mathnet.ru/eng/pmtf1922 https://www.mathnet.ru/eng/pmtf/v49/i3/p197
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