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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 3, Pages 197–207 (Mi pmtf1922)  

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
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 3, Pages 510–518
DOI: https://doi.org/10.1007/s10808-008-0068-5
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MikZhb08}
\by V.~V.~Mikhas'kiv, I.~Ya.~Zhbadynskyi
\paper Effect of the compliant interlayer on the dynamic stress intensity factor in a piecewise-homogeneous solid with a circular crack
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 3
\pages 197--207
\mathnet{http://mi.mathnet.ru/pmtf1922}
\elib{https://elibrary.ru/item.asp?id=11665352}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 3
\pages 510--518
\crossref{https://doi.org/10.1007/s10808-008-0068-5}
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