Skip to main content
SpringerLink
Log in

Longitudinal shear of a body with mutually immobile rigid collinear inclusions

  • Published:
Materials Science Aims and scope

Abstract

We study the problem of antiplane deformation of an elastic body with collinear perfectly rigid inclusions connected to form a single skeleton. The problem is reduced to a system of singular integral equations with an additional condition guaranteeing the absence of mutual displacements of the inclusions. The influence of mutual immobility and arrangement of the inclusions on the distributions of stresses and displacements in the body is analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. L. T. Berezhnitskii V. V. Panasyuk N. G. Stashchuk (1983) Interaction of Rigid Linear Inclusions and Cracks in Deformable Bodies Naukova Dumka Kiev

    Google Scholar 

  2. V. V. Panasyuk M. M. Stadnik V. P. Silovanyuk (1986) Stress Concentration in Three-Dimensional Bodies with Thin Inclusions Naukova Dumka Kiev

    Google Scholar 

  3. N. G. Stashchuk (1993) Problems of the Mechanics of Elastic Bodies with Cracklike Defects Naukova Dumka Kiev

    Google Scholar 

  4. L. T. Berezhnitskii M. P. Len’ (1975) ArticleTitleAntiplane deformation of a body with rigid inclusions Probl. Prochn. 8 10–14

    Google Scholar 

  5. G. T. Sylim (1981) ArticleTitleAntiplane problem for a system of linear inclusions in the isotropic medium Prikl. Mekh. Matem. 45 IssueID1 308–318

    Google Scholar 

  6. V. K. Opanasovych and M. S. Dragan, “Antiplane deformation of a body containing a system of thin elastic inclusions,” Visn. L’viv. Univ. Ser. Mekh.-Mat., Issue 22, 71–77 (1984).

  7. I. P. Shats’kyi A. M. Kundrat (2003) On the interaction of coupled inclusions Abstr. of the 6th Internat. Symp. of Ukrainian Mechanical Engineers in Lviv Kinpatri Lviv 49

    Google Scholar 

  8. N. I. Muskheshvili (1968) Singular Integral Equations Nauka Moscow

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ivano-Frankivs’k Department of the Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Ivano-Frankivs’k

    I. P. Shats’kyi & A. M. Kundrat

  2. Ivano-Frankivs’k National Technical University of Oil and Gas, Ivano-Frankivs’k

    I. P. Shats’kyi & A. M. Kundrat

Authors
  1. I. P. Shats’kyi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. M. Kundrat
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 40, No. 3, pp. 69–73, May–June, 2004.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shats’kyi, I.P., Kundrat, A.M. Longitudinal shear of a body with mutually immobile rigid collinear inclusions. Mater Sci 40, 376–382 (2004). https://doi.org/10.1007/PL00022001

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00022001

Keywords

Search

Navigation