This article is cited in 1 paper

Spectral characteristics of the self-balanced stress fields

M. A. Guzev

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok

Abstract: We investigate a class of self-balanced stress fields which is parameterized by a stress function. The fuction is considered to be an element of the spectrum of the biharmonic operator. For different types of boundary conditions we constructed the spectral characteristics of the operator.

Key words: self-balanced stress fields, non-Euclidean continuum model, biharmonic equation.

UDC: 517.983.8

MSC: 46B70

Received: 09.01.2014