Materials Science

, Volume 43, Issue 1, pp 27–37 | Cite as

Solution of nonstationary problems for composite bodies with cracks by the method of integral equations

  • V. V. Mykhas’kiv
  • I. Ya. Zhbadyns’kyi


We study the problem of nonstationary loading of a plane crack in a bimaterial body formed as a result of perfect bonding of two elastic half spaces made of different materials. In the spectral region of the Fourier transformation with respect to time, the problem is reduced to boundary integral equations for the functions of dynamic crack opening displacements. In deducing the equations, we satisfy the conditions of conjugation of the half spaces. As a result of the numerical solution of equations and finding the originals, we get the time dependences of the stress intensity factors in the vicinity of a penny-shaped crack perpendicular to the interface of materials for various profiles of normal dynamic loads and various ratios of the moduli of elasticity of the components of the analyzed composite.


Stress Intensity Factor Half Space Crack Opening Displacement Boundary Integral Equation Elastic Half Space 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • V. V. Mykhas’kiv
    • 1
  • I. Ya. Zhbadyns’kyi
    • 1
  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian Academy of SciencesLviv

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