Journal of Mathematical Sciences

, Volume 180, Issue 2, pp 99–106 | Cite as

Dynamic contact between a spherical inclusion and a matrix upon incidence of an elastic wave

  • I. O. Butrak
  • T. I. Kilnytska
  • O. M. Khay

Using the boundary element method, we have studied the dynamic displacements and stresses in an infinite elastic matrix with a spherical elastic inclusion, caused by the propagation of an elastic wave. The original problem has been reduced to a system of boundary integral equations for the contact displacements and tractions on the interface between the inclusion and matrix. Based on the numerical solution of these equations, we have analyzed the influence of the direction of wave propagation and frequency on the important physical parameters, depending on the elastic characteristics of composite constituents.


Elastic Wave Boundary Element Method Radial Displacement Dynamic Contact Spherical Inclusion 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • I. O. Butrak
    • 1
  • T. I. Kilnytska
    • 1
  • O. M. Khay
    • 1
  1. 1.Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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