Analysis of stress singularities at singular points of elastic solids made of functionally graded materials


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Abstract

The results of analytical and numerical investigations on estimating the character of the singularity of stresses in a vicinity of different variants of special points of the 2D elastic solids made of functionally graded materials (FGMs) are presented. The variant of construction by analytical methods in the polar system of coordinates is considered for eigensolutions in the flat wedges made of the FGM, the elastic properties of which are represented as power series in terms of the radial coordinate.

About the authors

V. P. Matveenko

Institute of Mechanics of Continua, Ural Branch

Author for correspondence.
Email: mvp@icmm.ru
Russian Federation, Perm, 614061

A. Yu. Fedorov

Institute of Mechanics of Continua, Ural Branch

Email: mvp@icmm.ru
Russian Federation, Perm, 614061

I. N. Shardakov

Institute of Mechanics of Continua, Ural Branch

Email: mvp@icmm.ru
Russian Federation, Perm, 614061

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