Materials Science

, Volume 35, Issue 6, pp 770–776 | Cite as

Green-type solution of a problem of the theory of elasticity for a strip

  • M. P. Savruk
  • Ya. V. Maksymovych


We construct the effective solution of the first basic problem of the theory of elasticity for a strip subjected to the action of concentrated forces applied at arbitrary points (Green-type solution). The solution is presented in a complex form as a sum of two terms. The first term expressed via elementary functions is, in fact, the exact solution of the problem. The second term is expressed via regular rapidly convergent integrals.


Exact Solution Complex Form Structural Material Elementary Function Arbitrary Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. P. Savruk,Two-Dimensional Problems of Elasticity for Cracked Bodies [in Russian], Naukova Dumka, Kiev (1981).Google Scholar
  2. 2.
    Ya. S. Uflyand,Integral Transformations in Problems of the Theory of Elasticity [in Russian], Izd. Akad. Nauk SSSR, Moscow-Leningrad (1963).Google Scholar
  3. 3.
    N. I. Muskhelishvili,Some Basic Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).Google Scholar
  4. 4.
    I. A. Prusov, “On a solution of the first and second basic problems of the theory of elasticity for a strip lying in an elastic half plane,”Izv. Akad. Nauk SSSR. Mekh. Mashinostr., No. 4, 102–104 (1964).Google Scholar
  5. 5.
    I. Sneddon,Fourier Transforms, McGraw-Hill, New York (1951).Google Scholar
  6. 6.
    S. P. Timoshenko and J. N. Goodier,Theory of Elasticity, McGraw-Hill, New York (1970).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • M. P. Savruk
  • Ya. V. Maksymovych

There are no affiliations available

Personalised recommendations