Advertisement

Journal of Mathematical Sciences

, Volume 76, Issue 3, pp 2431–2434 | Cite as

Antiplane deformation of an isotropic massif with a curvilinear cavity

  • V. G. Zhitnyaya
Article
  • 12 Downloads

Abstract

We solve the problem of antiplane deformation for an infinite isotropic massif with a curvilinear cavity in which a harmonic shear wave is propagating.

The solution of the problem, which is based on the application of the theory of functions of a complex variable, is reduced to finding unknown constants from a system of linear algebraic equations. Numerical results are given for a circular cavity.

Keywords

Shear Wave Algebraic Equation Complex Variable Linear Algebraic Equation Unknown Constant 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    V. G. Zhitnyaya and V. I. Chernik, “Steady-state motions of massif with a circular cavity during antiplane deformation,”Teor. i. Prikl. Mekh., No. 23, 78–81 (1992).Google Scholar
  2. 2.
    V. G. Zhitnyaya and A. S. Kosmodamianskii, “Free flexural vibrations of a finite plate with a rigidly clamped rim,”Teor. i Prikl. Mekh., No. 15, 80–87 (1984).Google Scholar
  3. 3.
    A. S. Kosmodamianskii,A Plane Problem of Elasticity Theory for Plates with Holes, Slits, and Protuberances [in Russian], Kiev (1975).Google Scholar
  4. 4.
    N. I. Muskhelishvili,Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff, Groningen (1953).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • V. G. Zhitnyaya

There are no affiliations available

Personalised recommendations