Journal of Mathematical Sciences

, Volume 84, Issue 6, pp 1473–1477 | Cite as

The mixed boundary-value problem for a transtropic layer with a cavity

  • E. V. Altukhov
  • V. V. Kosova


Using superposition of solutions and Fourier series we study the stressed state in a transversally isotropic layer with a cavity. We describe the results of numerical studies as functions of the elastic properties of the material, the geometric characteristics of the body, and the nature of the load variation. Four figures.


Fourier Stressed State Elastic Property Fourier Series Geometric Characteristic 
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.

Literature Cited

  1. 1.
    E. V. Altukhov, “Elastic equilibrium of transtropic plates in the case of slipping faces,” Preprint No. 1050-Uk.93, Donetsk (1993).Google Scholar
  2. 2.
    E. V. Altukhov, “The stressed state of thick plates in the case of homogeneous boundary conditions of mixed type on the faces,”Teoret. Prikl. Mekh., No. 23, 3–8 (1992).Google Scholar
  3. 3.
    E. V. Altukhov, “Homogeneous solutions in three-dimensional problems of elasticity theory for transtropic plates with clamped faces,”Teor. Prikl. Mekh. No. 19, 10–13 (1988).MATHGoogle Scholar
  4. 4.
    Yu. N. Bodnya and V. A. Shaldyrvan, “Elastic strain of thick plates with slipping faces,”Teor. Prikl. Mekh., No. 19 14–20 (1988).Google Scholar
  5. 5.
    A. S. Kosmodamianskii, E. V. Altukhov, and V. A. Galich. “The method of superposition of solutions in mixed problems of the theory of elasticity for thick multiconnected plates,”Dokl. Akad. Nauk Ukr.SSR, Ser. A, No. 11, 62–65 (1981).Google Scholar
  6. 6.
    A. S. Kosmodamianskii and V. A. Shaldyrvan,Thick Multiconnected Plates [in Russian], Kiev (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • E. V. Altukhov
  • V. V. Kosova

There are no affiliations available

Personalised recommendations