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


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.


Shear Wave Algebraic Equation Complex Variable Linear Algebraic Equation Unknown Constant 
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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

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