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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i8.60
pages 55-65

Behavior of the System of Noncircular Holes in a Halfspace with a Free Boundary under the Impact of Stationary SH-waves

Boris E. Panchenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev


For the evaluation study of the control problem of the mechanical characteristics of the noncircular holes in the half-space with a free boundary, the method of the numerical interpolation of high-accuracy results of solving the direct problem can be applied. The parallel algorithm of numerical solution of the direct stationary dynamic problem of the elasticity theory on the interaction of SH-waves with the system of holes of arbitrary cross-section located in the half-space with a boundary, that is free from forces, is proposed and investigated. The boundary value problem is reduced to the system of integral equations, which are solved numerically. The scheme of parallel computing has allowed to explore the situation with a large number of reflecting holes. The new numerical results are given.


  1. Gulyaev Yu.V., Kravchenko V.F., Rvachev V.L., Sizova N.D., Study of the diffraction of elastic waves in plates weakened by two holes of arbitrary shape.

  2. Panasyuk V.V., Savruk M.P., Nazarchuk Z.T., The method of singular integral equations in two-dimensional diffraction problems.

  3. Filshtinskiy L.A., Diffraction of elastic waves on cracks, holes, inclusions in an isotropic medium.

  4. Vertgaim I.I., Terpigurov V.N., Parallel computing technologies in the mechanics of continua and MDTT.

  5. Nazarenko A.M., Diffraction of shear waves in cylindrical inclusions and cavities in an elastic half-space.

  6. Nazarenko A.M., Panchenko B.E., A parallel computing scheme in problems of diffraction of shear waves on the system of holes in an infinite elastic medium.

  7. Panchenko B.E., High-accuracy cluster solution of the problem of diffraction of shear waves on the system of holes in a semiinfinite isotropic medium with a clamped boundary.

  8. Guz A.N., Nemish Yu.N., The perturbation method of the boundary shape in the mechanics of continua.

  9. Kyurkchan A.G., Skorodumova E.A., Solving the three-dimensional problem of wave diffraction on a group of objects.

  10. Khimich A.N., Molchanov I.N., Popov A.V., Numerical software of the “Inparkom” intellectual MIMD-computer.

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