This article is cited in 16 papers

An iterative penalty method for a nonlinear problem of equilibrium of a Timoshenko-type plate with a crack

N. P. Lazarev<sup>ab

a</sup> Research Institute of Mathematics of Yakut State University, Yakutsk
^b M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk

Abstract: A variational problem of equilibrium of an elastic Timoshenko-type plate in a domain with a slit is considered. A nonpenetration boundary condition in the form of an inequality is specified on the edges of the slit. A penalized equation and an iterative linear equation in integral and differential forms are constructed. Some results on solution convergence and an error estimate are obtained.

Key words: crack, Timoshenko-type plate, penalty operator, energy functional, variational problem.

UDC: 539.311

Received: 15.12.2010
Revised: 17.03.2011

 English version: Numerical Analysis and Applications, 2011, 4:4, 309–318

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