Skip to main content
SpringerLink
Log in

Stress Concentration near an Elastic Ellipsoidal Inclusion in an Infinite Body

  • Published:
Materials Science Aims and scope

Abstract

The elastic problem is considered for a body containing an ellipsoidal inclusion under the conditions of uniaxial tension. The problem is reduced to the solution of a system of three integro-differential equations for the jumps of stresses and displacements on the surfaces of the inclusion. The exact solution of these equations is obtained and relations for the approximate evaluation of stresses in the matrix and inclusion are presented. Various special cases of the problem are analyzed and fairly simple formulas convenient for the engineering strength analysis of inhomogeneous bodies are deduced.

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. M. M. Stadnyk, “A method for the solution of three-dimensional thermoelastic problems for bodies with thin inclusions,” Fiz.-Khim. Mekh. Mater., 30, No. 4, 30–40 (1994).

    Google Scholar 

  2. M. M. Stadnyk, “A method for the approximate solution of a three-dimensional elastic problem for a body with thin inclusion,” Fiz.-Khim. Mekh. Mater., 24, No. 1, 53–65 (1988).

    Google Scholar 

  3. V. V. Panasyuk, Limiting Equilibrium of Brittle Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  4. M. K. Kassir and G. C. Sih, “Some three-dimensional inclusion problems in elasticity,” Int. J. Solids Struct., 4, 225–241 (1968).

    Google Scholar 

  5. V. P. Silovanyuk, “Rigid platelike inclusions in the elastic half space,” Fiz.-Khim. Mekh. Mater., 20, No. 5, 80–84 (1984).

    Google Scholar 

  6. J. D. Eshelby, Continual Model of Dislocations [Russian translation], Inostr. Lit., Moscow (1963).

    Google Scholar 

  7. Yu. M. Podil'chuk, Three-Dimensional Problems of the Theory of Elasticity [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  8. R. Edwards, “Stress concentration around spheroidal inclusions and cavities,” Trans. ASME: Appl. Mech. Sect., 75, No. 1, 19 (1951).

    Google Scholar 

  9. V. V. Panasyuk, M. M. Stadnyk, and V. P. Silovanyuk, Stress Concentration in Three-Dimensional Bodies with Thin Inclusions [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ukrainian State University of Forestry Engineering, Lviv

    M. M. Stadnyk

Authors
  1. M. M. Stadnyk
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stadnyk, M.M. Stress Concentration near an Elastic Ellipsoidal Inclusion in an Infinite Body. Materials Science 38, 789–797 (2002). https://doi.org/10.1023/A:1024299431804

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024299431804

Keywords

Search

Navigation